id string | problem string | answer string | answer_type string | category string | difficulty string | eval_score int64 | similar_problems list |
|---|---|---|---|---|---|---|---|
1716134 | Ma sapling learmhing Buffer capacity is a measure of a buffer solution's resistance to changes in pH as strong acid or base is added.
Suppose that you have 115 ml of a buffer that is 0.140 M in both benzoic acid (CHsCOOH) and its conjugate base (CoHsCOo). Calculate the maximum volune of 0.210 M HCI that can be added t... | 76.7 mL | Float | Chemistry | University | 5 | [
{
"id": "344815",
"score": 0.6263502626786678
},
{
"id": "376472",
"score": 0.41930763355452044
},
{
"id": "678964",
"score": 0.38965390450337944
},
{
"id": "691639",
"score": 0.38691108504673244
},
{
"id": "306116",
"score": 0.3657484759780591
}
] |
1567327 | A stock has a beta of $2.0$ and a specific daily volatility of $2\%$. Yesterday's closing price was $100$ and today the market goes up by $1\%$. What is the probability of today's closing price being at least $110$ dollars, given that the expected price of today's closing price is calculated as $E(p_{T}) = p_{H} \cdot ... | 0.000031671 | Float | Mathematics | University | 5 | [
{
"id": "937256",
"score": 0.260444970432848
},
{
"id": "1287032",
"score": 0.2085020364948635
},
{
"id": "1964285",
"score": 0.20004329992821027
},
{
"id": "1682230",
"score": 0.17823222920687964
},
{
"id": "1117408",
"score": 0.17755651204968576
}
] |
1854516 | Ratios which measure the contributions of owners' financing compared with creditors' financing are
a. leverage ratios.
b. liquidity ratios.
c. activity ratios.
d. asset management ratios.
e. profitability ratios. | a | Multiple Choice | Business | University | 5 | [
{
"id": "931492",
"score": 0.8415510309671452
},
{
"id": "775544",
"score": 0.5004504812202925
},
{
"id": "1996452",
"score": 0.31765330768918915
},
{
"id": "892712",
"score": 0.2530568832270341
},
{
"id": "66203",
"score": 0.2530568832270341
}
] |
313307 | What is wrong with my reasoning in calculating the integral $I =\int_{Q}e^{-x-y-z}dV$ where $Q = \{x,y,z \in \mathbb{R}^3 : x+y > 0, y+z>0, x+z > 0\}$ using the change of variables $\psi(x,y,z) = (x+y, y+z, x+z)$ and the change of variables theorem? Specifically, why does my calculation lead to an incorrect answer of $... | 4 | Integer | Mathematics | University | 5 | [
{
"id": "1553724",
"score": 0.32815370789426185
},
{
"id": "535971",
"score": 0.2660520504296159
},
{
"id": "654259",
"score": 0.26104847548871446
},
{
"id": "1389962",
"score": 0.23959140793455508
},
{
"id": "440907",
"score": 0.23587035433892892
}
] |
1183515 | The revaluation of a domestic currency can help reduce:
Read statements 1 and 2 then pick the right answer from a-d.
1. Shortage of domestic currency
2. Surpluses of domestic currency
a. 1 and 2
b. 1 only
c. 2 only
d. Neither 1 or 2 | c | Multiple Choice | Economics | University | 5 | [
{
"id": "186753",
"score": 0.5132644189306119
},
{
"id": "595395",
"score": 0.4463439753448686
},
{
"id": "1861142",
"score": 0.4111643264852221
},
{
"id": "1461988",
"score": 0.37037603843125544
},
{
"id": "583120",
"score": 0.361584197583758
}
] |
949365 | Wonderwidget Inc. is currently fully equity financed has a stock price of $50 and 100,000 shares. Wonderwidget is planning to borrow $1,000,000 at an annual interest rate of 5% in order to buy back some of its stock. What is Wonderwidget's break-even EBIT in this case? | $250,000 | Integer | Business | University | 5 | [
{
"id": "338627",
"score": 0.20613624998988203
},
{
"id": "880392",
"score": 0.20100817807830798
},
{
"id": "1081470",
"score": 0.19762797196612947
},
{
"id": "574707",
"score": 0.19727116888747298
},
{
"id": "1248554",
"score": 0.1949940891328746
}
] |
1491551 | Which of the following depreciation methods is used by most companies for their tax returns?
a. Units-of-production
b. Straight-line
c. Declining-balance
d. All of the above methods are used about equally. | b | Multiple Choice | Business | University | 5 | [
{
"id": "1061081",
"score": 0.4001692049534532
},
{
"id": "1766197",
"score": 0.35042172332490157
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{
"id": "1825710",
"score": 0.29496463056205324
},
{
"id": "1100143",
"score": 0.2752008692451555
},
{
"id": "177094",
"score": 0.2680352959257608
}
] |
1538722 | Consider the market for water in a small town in the Old West. Assume that the only source of water is the underground aquifer that lies directly below the town. Wells are used to supply water to the entire town.
If dozens of residents have their own wells, which of the following statements most adequately describes t... | d | Multiple Choice | Economics | University | 5 | [
{
"id": "850691",
"score": 0.46695677303861793
},
{
"id": "1991545",
"score": 0.3858418640316022
},
{
"id": "1736018",
"score": 0.3698283810104895
},
{
"id": "843164",
"score": 0.34385088244768647
},
{
"id": "424540",
"score": 0.33730118928683417
}
] |
112589 | Consider a competitive constant-cost industry with many identical firms (i.e. firms with identical U-shaped cost curves). The demand curve in this market is downward sloping, and the market is currently in long-run equilibrium. Assume that there is an increase in demand, ceteris paribus. Compared to the initial long-ru... | d | Multiple Choice | Economics | University | 5 | [
{
"id": "82436",
"score": 0.6346695920842924
},
{
"id": "847505",
"score": 0.4778085107889269
},
{
"id": "1976433",
"score": 0.4729173417690949
},
{
"id": "177239",
"score": 0.46906489674347407
},
{
"id": "1433964",
"score": 0.4568408005346514
}
] |
2035500 | Consider the two projects below. The cash flows as well as the NPV and IRR for the two projects are given. For both projects, the required rate of return is 10%.
Cash flow
Year
0
1
2
3
4
NPV
IRR (%)
Project 1
-100
36
36
36
... | B | Multiple Choice | Finance | University | 5 | [
{
"id": "114093",
"score": 0.4367927391598421
},
{
"id": "1600847",
"score": 0.3693988943177267
},
{
"id": "1085594",
"score": 0.35385760407531963
},
{
"id": "1616166",
"score": 0.32473724687836447
},
{
"id": "1570770",
"score": 0.310039907258456
}
] |
1987787 | Community indifference curves are _____ sloped and _____ to the origin.
A) positively, concave
B) negatively, convex
C) positively, convex
D) negatively, concave | B | Multiple Choice | Economics | University | 5 | [
{
"id": "1193189",
"score": 0.4430256364827385
},
{
"id": "732637",
"score": 0.29772633569412127
},
{
"id": "649353",
"score": 0.29696578207280244
},
{
"id": "1844807",
"score": 0.2939717507278784
},
{
"id": "1786494",
"score": 0.2637799068432014
}
] |
407156 | How to find the integral of $z^n exp(1/z)$ (where n is any integer), around the circle $|z|=1$ traversed once in the positive sense using the residue theorem? | $\frac{2\pi i}{(n+1)!}$ | Expression | Mathematics | University | 5 | [
{
"id": "1603583",
"score": 0.42825845057325174
},
{
"id": "2103057",
"score": 0.3439656476034285
},
{
"id": "1892153",
"score": 0.3166799247050762
},
{
"id": "1868745",
"score": 0.27423814441843797
},
{
"id": "2058297",
"score": 0.24516769229081622
}
] |
6928 | A college expended $2,475,000 on a new parking facility. How would this be reported in the statement of cash flows?
a. As an investing activity by a public college.
b. As a capital and related financing activity by a private college.
c. As an investing activity by a private college.
d. Both a and c are correct. | d | Multiple Choice | Business | University | 5 | [
{
"id": "136409",
"score": 0.46031570791252463
},
{
"id": "1777685",
"score": 0.44106320192564286
},
{
"id": "1348592",
"score": 0.43065166810101185
},
{
"id": "553850",
"score": 0.42041183636693125
},
{
"id": "392862",
"score": 0.4155262551099191
}
] |
1643098 | Let $a_n=\frac{1}{\sqrt{(n^2+1)}}+\frac{1}{\sqrt{(n^2+2)}}+\frac{1}{\sqrt{(n^2+3)}}+\ldots+\frac{1}{\sqrt{(n^2+n)}}$ then will limit of $a_n=0$? | 1 | Integer | Mathematics | University | 5 | [
{
"id": "2015297",
"score": 0.8358412775357478
},
{
"id": "1805106",
"score": 0.8195674489331449
},
{
"id": "373133",
"score": 0.7904582200778555
},
{
"id": "886707",
"score": 0.7873034113301628
},
{
"id": "653197",
"score": 0.7819211094179707
}
] |
2081289 | An estimated loss on purchase commitments is reported:
a) under other expenses and losses.
b) as a deduction from purchases.
c) as a current liability.
d) as an extraordinary item. | a | Multiple Choice | Business | University | 5 | [
{
"id": "155378",
"score": 0.3384396403068993
},
{
"id": "792567",
"score": 0.3034626789952911
},
{
"id": "1798672",
"score": 0.2744823383940175
},
{
"id": "1295759",
"score": 0.2675647436303618
},
{
"id": "1287287",
"score": 0.24620425646817012
}
] |
1107197 | Which of the following costs remain constant as the output increases?
a. Marginal cost
b. Average variable cost
c. Average fixed cost
d. None of the above | d | Multiple Choice | Economics | University | 5 | [
{
"id": "555104",
"score": 0.6744426941375826
},
{
"id": "790453",
"score": 0.6595987055586597
},
{
"id": "1422449",
"score": 0.6058420394158396
},
{
"id": "1830760",
"score": 0.5837357645240353
},
{
"id": "1858926",
"score": 0.5582899845690954
}
] |
482145 | The company's financial advisors recommend that ABC Software conduct most of its business in a vehicle currency. Which of the following is true of vehicle currencies?
A) A vehicle currency is a contract that requires the exchange of an agreed-upon amount of a currency on an agreed-upon date at a specific exchange rate... | C | Multiple Choice | Economics | University | 5 | [
{
"id": "890172",
"score": 0.4355353529443592
},
{
"id": "1331392",
"score": 0.3011200556207621
},
{
"id": "186753",
"score": 0.29620969722537266
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{
"id": "624968",
"score": 0.29015954618427303
},
{
"id": "1962313",
"score": 0.2729497773609357
}
] |
1097186 | Sweeten Company had no jobs in progress at the beginning of March and no beginning inventories. It started only two Jobs during March-Job P and Job Q. Job P was completed and sold by the end of March and Job Q was incomplete at the end of March. The company uses a plantwide predetermined overhead rate based on direct l... | 38160 | Integer | Business | University | 5 | [
{
"id": "196230",
"score": 0.8894965145793013
},
{
"id": "1557661",
"score": 0.6402397272525082
},
{
"id": "1962180",
"score": 0.6392518439947358
},
{
"id": "906567",
"score": 0.6370352020636634
},
{
"id": "798179",
"score": 0.5730775423326069
}
] |
28785 | Which of the following items results in a temporary difference taxable amount for a given year?
a) premiums on officers' life insurance (the officer is beneficiary)
b) vacations pay accrual
c) accelerated depreciation for tax purposes; straight line for financial reporting purposes
d) premiums on officers' life ins... | c | Multiple Choice | Business | University | 5 | [
{
"id": "1218526",
"score": 0.26139255120265714
},
{
"id": "1322332",
"score": 0.2584845801444807
},
{
"id": "140598",
"score": 0.24278876317102333
},
{
"id": "1117715",
"score": 0.24151796199397568
},
{
"id": "49957",
"score": 0.2394369098472259
}
] |
1641027 | Poorly trained workers could have an unfavorable effect on which of the following variances?
a. Labor rate variance = Yes; Materials quantity variance = Yes
b. Labor rate variance = Yes; Materials quantity variance = No
c. Labor rate variance = No; Materials quantity variance = Yes
d. Labor rate variance = No; Mate... | c | Multiple Choice | Business | University | 5 | [
{
"id": "944140",
"score": 0.6805435374615915
},
{
"id": "125694",
"score": 0.48390910663681325
},
{
"id": "653809",
"score": 0.42676670021813706
},
{
"id": "756992",
"score": 0.42592331132297634
},
{
"id": "75671",
"score": 0.4105350099973365
}
] |
346296 | Solve equation $\lim_{n \to \infty}\cos(nx)=1$ | x = 0 | Expression | Mathematics | University | 5 | [
{
"id": "1766952",
"score": 0.514147911128915
},
{
"id": "570710",
"score": 0.4650646353540496
},
{
"id": "165426",
"score": 0.4610545899161036
},
{
"id": "1646718",
"score": 0.46077603647866344
},
{
"id": "1041327",
"score": 0.4473231080883867
}
] |
707344 | {eq}\rule{1cm}{0.15mm}
{/eq} compares actual results with the budget.
a. Performance report
b. Variance
c. Sensitivity analysis
d. Dynamic analysis | a | Multiple Choice | Business | University | 5 | [
{
"id": "1795180",
"score": 0.3888886262222271
},
{
"id": "876404",
"score": 0.37119260751659694
},
{
"id": "2240",
"score": 0.314077558852556
},
{
"id": "441972",
"score": 0.3071211401618415
},
{
"id": "224533",
"score": 0.2960721891205456
}
] |
426989 | Use Divergence Theorem to evaluate {eq}\iint_S \mathbf F \cdot \mathbf N ds{/eq}, where {eq}\mathbf N{/eq} is the outward unit normal vector to the surface of the sphere {eq}x^2 +y^2 + z^2 \leq a^2{/eq} with {eq}\mathbf F(x,y,z) = \langle x,y,z\rangle{/eq} | 4\pi a^3 | Expression | Mathematics | University | 5 | [
{
"id": "209853",
"score": 0.8368015457416048
},
{
"id": "710169",
"score": 0.8318519407328286
},
{
"id": "920569",
"score": 0.8268900544878394
},
{
"id": "1685298",
"score": 0.8147594343232726
},
{
"id": "725752",
"score": 0.8071587457650148
}
] |
1765016 | You expect KT Industries (KTI) will have earnings per share of $3 this year and expect that they will pay out $1.50 of these earnings to shareholders in the form of a dividend. KTI's return on new investments is 15% and its equity cost of capital is 12%. What is the value of a share of KTI's stock? | $33.33 | Float | Finance | University | 5 | [
{
"id": "354823",
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{
"id": "931302",
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{
"id": "330632",
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{
"id": "140310",
"score": 0.2364389296939609
},
{
"id": "1848730",
"score": 0.2350720806641718
}
] |
1684336 | In applying the CAPM to estimate the cost of equity capital, which of the following elements is not subject to dispute or controversy?
a. The expected rate of return on the market
b. The stock's beta coefficient
c. The risk-free rate
d. The market risk premium (RPM)
e. All of the above are subject to dispute. | e | Multiple Choice | Business | University | 5 | [
{
"id": "894446",
"score": 0.4509673652944593
},
{
"id": "394937",
"score": 0.40005091081906213
},
{
"id": "1624842",
"score": 0.3707867121799889
},
{
"id": "409500",
"score": 0.3691951451541616
},
{
"id": "1818801",
"score": 0.3397601921854818
}
] |
1199589 | On July 10, 2016, Johnson Corporation signed a purchase commitment to purchase inventory for $206,000 on or before February 15, 2017. The company's fiscal year-end is December 31. The contract was exercised on February 1, 2017, and the inventory was purchased for cash at the contract price. On the purchase date of Febr... | C | Multiple Choice | Business | University | 5 | [
{
"id": "168740",
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},
{
"id": "1968063",
"score": 0.8142981440955123
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{
"id": "414856",
"score": 0.331253286927417
},
{
"id": "530231",
"score": 0.32479439626103923
},
{
"id": "1610508",
"score": 0.3179794522741992
}
] |
824652 | Which one of the following statements is correct?
A. Perpetuities are finite but annuities are not.
B. Most loans are form of a perpetuity.
C. A perpetuity comprised of $200 monthly payments is worth less than an annuity comprised of $200 monthly payments given an interest rate of 10 percent, compounded monthly.
... | E | Multiple Choice | Finance | University | 5 | [
{
"id": "1417383",
"score": 0.4723848510317582
},
{
"id": "1618113",
"score": 0.42358398385335627
},
{
"id": "1789363",
"score": 0.3695510227850778
},
{
"id": "287655",
"score": 0.3569690262788336
},
{
"id": "141130",
"score": 0.34911561417838677
}
] |
1526259 | Which one of the following would increase per-unit production cost and therefore shift the aggregate supply curve to the left?
(A) a reduction in business taxes.
(B) production bottlenecks occurring when producers near full plant capacity.
(C) an increase in the price of imported resources.
(D) deregulation of the ... | C | Multiple Choice | Economics | University | 5 | [
{
"id": "1074811",
"score": 0.30192452923081453
},
{
"id": "1626113",
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{
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{
"id": "604681",
"score": 0.26357165799200866
},
{
"id": "929902",
"score": 0.2598043423490034
}
] |
1290086 | Beyer Company is considering the purchase of an asset for $380,000. It is expected to produce the following net cash flows. The cash flows occur evenly throughout each year.
Year 1 Year 2 Year 3 Year 4 Year 5 Total
Net cash flows $90,000 $50,000 $70,000 $250,000 $11,000 $471,000
Compute the payback perio... | 3.68 years | Float | Business | University | 5 | [
{
"id": "1771102",
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{
"id": "34264",
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{
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{
"id": "1263944",
"score": 0.47600491082016005
},
{
"id": "1406508",
"score": 0.46851731784284584
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] |
409221 | The risk free rate of return is 4% and the expected return on the market portfolio is 16%. Starship Enterprises has a beta of 2.0 and a standard deviation of returns of 26%. Starship's marginal tax rate is 35%. Analysts expect Starship's net income to grow by 12% per year for the next 5 years. Using the capital asset p... | 28% | Percentage | Finance | University | 5 | [
{
"id": "1717227",
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},
{
"id": "1072160",
"score": 0.23365342389408095
},
{
"id": "1915320",
"score": 0.22532618313126934
},
{
"id": "1940782",
"score": 0.22408722146240456
},
{
"id": "146524",
"score": 0.2210605103962494
}
] |
1037106 | ROI cannot be referred to as:
a) ROE
b) Return on assets
c) ROA
d) all of the above | d | Multiple Choice | Business | University | 5 | [
{
"id": "777028",
"score": 0.2932921044397595
},
{
"id": "577859",
"score": 0.2932921044397595
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{
"id": "1179526",
"score": 0.2831467453027877
},
{
"id": "2057305",
"score": 0.2466292078705934
},
{
"id": "1254122",
"score": 0.24575326832729485
}
] |
1078669 | _____ occurs when partners in an alliance possess high-quality resources and capabilities of significant value in an alliance but fail to make those resources and capabilities available to alliance partners.
A) Moral hazard
B) Adverse selection
C) Holdup
D) Explicit collusion | A | Multiple Choice | Business | University | 5 | [
{
"id": "1947020",
"score": 0.2237942659376726
},
{
"id": "1908944",
"score": 0.2073408975071707
},
{
"id": "1772667",
"score": 0.1937117481894215
},
{
"id": "399264",
"score": 0.1937117481894215
},
{
"id": "305922",
"score": 0.1832233727349282
}
] |
513996 | Determine whether the series
$$\sum\limits_{n=0}^\infty 3 (\cos (n\pi) )\left( \dfrac{ 1}{2} \right) ^n$$
is convergent or divergent, and if convergent, find its sum. | 2 | Integer | Mathematics | University | 5 | [
{
"id": "940588",
"score": 0.5316356432085155
},
{
"id": "1194833",
"score": 0.47208106898322943
},
{
"id": "752308",
"score": 0.4555503693939285
},
{
"id": "1202583",
"score": 0.4429502675689976
},
{
"id": "1214821",
"score": 0.43210311153652975
}
] |
341269 | Which one of the following does NOT cause euro currency spreads to be narrower than in domestic money markets?
a) Eurobanks don't have to maintain reserves on Eurodollar deposits.
b) Eurobanks face lower regulatory expenses.
c) national banks are often required to lend money to certain borrowers at concessionary rat... | d | Multiple Choice | Economics | University | 5 | [
{
"id": "1829661",
"score": 0.23751151766222578
},
{
"id": "481247",
"score": 0.23751151766222578
},
{
"id": "688078",
"score": 0.23497225465067495
},
{
"id": "1038316",
"score": 0.23497225465067495
},
{
"id": "678816",
"score": 0.2134411950765636
}
] |
854496 | The spot exchange rate in New York is 1.600 dollars per British pound. The 360-day forward exchange rate is 1 680 dollars per pound. The one-year interest rate in Great Britain is 2% while the one-year interest rate in the United States is 4%. If the interest rate in Great Britain remains at 2%, what should the interes... | 7.10% | Percentage | Business | University | 5 | [
{
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"id": "1702994",
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"id": "529230",
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{
"id": "54100",
"score": 0.3996192096405478
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] |
1206385 | Set up an integral in polar coordinates to find the volume of T, which is bounded by z = x^2 + y^2 and z = 4. | 8pi | Integer | Mathematics | University | 5 | [
{
"id": "87782",
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{
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{
"id": "377688",
"score": 0.40731280847331586
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492321 | In economics, 90% of new products fail within three years. If a store introduces 70 new products, what is the probability that fewer than 67 fail within the first three years, using normal approximation for this binomial distribution without correction for continuity? | 0.9441 | Float | Mathematics | University | 5 | [
{
"id": "1107042",
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{
"id": "770723",
"score": 0.27227336995695045
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{
"id": "629680",
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{
"id": "1008805",
"score": 0.22978294556028017
},
{
"id": "263206",
"score": 0.20925619813617913
}
] |
1056442 | If 4 randomly selected adults take the Wechsler IQ test, find the probability that there mean score is at least 131. | 0 | Float | Mathematics | University | 5 | [
{
"id": "34803",
"score": 0.6301713952091509
},
{
"id": "2043469",
"score": 0.5387824622009425
},
{
"id": "1035343",
"score": 0.38902974289210324
},
{
"id": "732183",
"score": 0.3356756571290283
},
{
"id": "1167821",
"score": 0.3292235590929093
}
] |
1705013 | After a banner year of rising profits and positive stock returns, the managers of Raptor Pharmaceuticals Corporation (RPC) have decided to launch seasoned equity offering to raise new equity capital. RPC currently has 20 million shares outstanding, and yesterday's closing market price was $70.00 per RPC share. The comp... | $67.9 | Float | Finance | University | 5 | [
{
"id": "80223",
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{
"id": "405443",
"score": 0.24332960766244052
},
{
"id": "1716809",
"score": 0.1993544792408337
},
{
"id": "1635339",
"score": 0.19701001834358695
},
{
"id": "1123302",
"score": 0.17891648605818608
}
] |
944921 | {eq}p{/eq} is in dollars and {eq}x{/eq} is the number of units. Suppose that the supply function for a good is {eq}p = 4x^2 + 26x + 8{/eq}. If the equilibrium price is $176 per unit, what is the producer's surplus there? (Round to two decimal place.) | 378.67 | Float | Economics | University | 5 | [
{
"id": "2020589",
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{
"id": "1485126",
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{
"id": "829114",
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{
"id": "1938038",
"score": 0.5755734998655423
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{
"id": "1727658",
"score": 0.5688943659919331
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] |
684889 | Monetary policy has a _____ effect on aggregate demand in a(n) _____ economy, and fiscal policy has a _____ effect on aggregate demand in a(n) _____ economy.
a. weaker; open; weaker; open
b. weaker; closed; weaker; closed
c. stronger; closed; weaker; open
d. stronger; open; weaker; open | d | Multiple Choice | Economics | University | 5 | [
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{
"id": "1826384",
"score": 0.18449878044755605
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] |
174525 | In the case of a positive externality, social marginal cost will:
a) exceed private marginal cost.
b) be equal to private marginal cost
c) fall short of private marginal cost.
d) have no specific relation to private marginal cost. | c | Multiple Choice | Economics | University | 5 | [
{
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"id": "875670",
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"id": "337276",
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] |
1776539 | $$\lim_\limits{n \rightarrow \infty}{ \int_\limits{0}^{1}\frac{1+nx^2}{(1+x^2)^n}dx}$$ | 0 | Integer | Mathematics | University | 5 | [
{
"id": "1041327",
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{
"id": "1241488",
"score": 0.47860560819563713
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"id": "336054",
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{
"id": "1674156",
"score": 0.452518299244751
},
{
"id": "544205",
"score": 0.42202099999803366
}
] |
106160 | Find the volume of the parallelepiped determined by the vectors {eq}a, \; b, {/eq} and {eq}c {/eq}. {eq}a = \left \langle 1, 2, 2 \right \rangle, \; b = \left \langle -1, 1, 2 \right \rangle, \; c = \left \langle 3, 1, 4 \right \rangle {/eq} | 14 | Integer | Mathematics | University | 5 | [
{
"id": "1049277",
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{
"id": "547855",
"score": 0.9074569914977015
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{
"id": "1409719",
"score": 0.7045912603935038
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{
"id": "1119417",
"score": 0.6749141973183711
},
{
"id": "1189531",
"score": 0.6036632158389494
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] |
15432 | Since 2001, the average IPO has raised _____ for the issuing company.
A) $310 million
B) $218 million
C) $478 million
D) $118 million | B | Multiple Choice | Finance | University | 5 | [
{
"id": "261851",
"score": 0.4643023055579117
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{
"id": "697349",
"score": 0.4560242130806182
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{
"id": "841499",
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{
"id": "859039",
"score": 0.4193002462994603
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] |
1788384 | The weights of the fish in a certain lake are normally distributed with a mean of 19 lb and a standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 16.6 and 22.6 lb? | 0.673 | Float | Mathematics | University | 5 | [
{
"id": "628722",
"score": 0.514803911076303
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{
"id": "1190113",
"score": 0.3915103873635291
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"id": "350684",
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{
"id": "649293",
"score": 0.30066332455360534
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] |
843021 | Given the pdf f(x) = 3x+2 for 0 < x < 1 and zero elsewhere, find E(X^3). | 1.1 | Float | Mathematics | University | 5 | [
{
"id": "822146",
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{
"id": "627719",
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"id": "1549151",
"score": 0.37191911313931275
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"id": "622866",
"score": 0.3469063378056864
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{
"id": "519539",
"score": 0.3227084762776979
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] |
322183 | Choose the internal control procedure to the error, misstatement, or other problem that it is trying to detect or prevent.
Accounting department matches invoices to receiving reports or special authorizations before payment.
A. The separation of duties is meant to safeguard assets.
B. Prevention of unauthorized use.... | C | Multiple Choice | Business | University | 5 | [
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"id": "911186",
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{
"id": "896910",
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] |
1571208 | Q. Large spool of copper wire is placed on 30 degree inclined plane. The loose end of the wire comes off of the top edge of the spool and is attached to a rigid pole at the top edge of the incline. The spool is not moving. What is the minimum coefficient of static friction that will keep the spool from sliding down the... | 0.577 | Float | Physics | University | 5 | [
{
"id": "329163",
"score": 0.23147040730778334
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{
"id": "335903",
"score": 0.18034028330436563
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{
"id": "1730030",
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{
"id": "1667279",
"score": 0.14606105514344073
},
{
"id": "319080",
"score": 0.1411863707646316
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] |
1188716 | Benson Co. purchases an asset for $6,000. This asset qualifies as a seven-year recovery asset under MACRS. Benson has a tax rate of 30%. The seven-year expense percentages for years 1, 2, 3, 4, 5, and 6 are 14.29%, 24.49%, 17.49%, 12.49%, 8.93%, and 8.93%, respectively. If the asset is sold at the end of six years for ... | 1640.84 | Float | Business | University | 5 | [
{
"id": "228313",
"score": 0.4251238366084409
},
{
"id": "528448",
"score": 0.39825684026679625
},
{
"id": "2024613",
"score": 0.37432476283256305
},
{
"id": "1175303",
"score": 0.37333961787395564
},
{
"id": "1332564",
"score": 0.3731256154041458
}
] |
312450 | The marginal rate of technical substitution of {eq}L
{/eq} for {eq}K
{/eq} at {eq}(L,K)
{/eq} is equal to:
A. The ratio between {eq}MP_K(L,K)/MP_L(L,K),
{/eq}
B. The negative of the slope of the tangent to the indifference curve through {eq}(L,K) \ \text{at} \ (L,K),
{/eq}
C. The maximal amount of labor that ca... | D | Multiple Choice | Economics | University | 5 | [
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"id": "2020589",
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"id": "1727658",
"score": 0.6175258763774674
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{
"id": "1713391",
"score": 0.6045426469920242
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{
"id": "91820",
"score": 0.6016505585146084
},
{
"id": "251509",
"score": 0.601031973145726
}
] |
2010149 | Given that x has a Poisson distribution with λ = 1.5, what is the probability that x = 1? | 0.3347 | Float | Mathematics | University | 5 | [
{
"id": "489046",
"score": 0.9599870585245006
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{
"id": "1578054",
"score": 0.7816873442348564
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{
"id": "590312",
"score": 0.5579644140144222
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{
"id": "71941",
"score": 0.5333088897330025
},
{
"id": "467900",
"score": 0.5304679756710768
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] |
1001933 | The Wintergrass Company has an ROE of 14.8 percent and a payout ratio of 40 percent. What is the company's sustainable growth rate? | 8.88% | Percentage | Business | University | 5 | [
{
"id": "1815347",
"score": 0.9627224000764648
},
{
"id": "1747639",
"score": 0.6027278755108937
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{
"id": "1742537",
"score": 0.5888726251207611
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{
"id": "86729",
"score": 0.507599110317106
},
{
"id": "1123542",
"score": 0.5009269204309489
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] |
1974094 | Under the "marginal cost pricing" regulation, the deadweight loss from monopoly is _____, and the government must _____ the firm.
A) reduced; subsidize
B) eliminated; subsidize
C) eliminated; tax
D) increased; tax
E) reduced; tax | B | Multiple Choice | Economics | University | 5 | [
{
"id": "537273",
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{
"id": "1905807",
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"id": "1949269",
"score": 0.25698023287951494
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"id": "1863361",
"score": 0.2223279037636346
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{
"id": "907770",
"score": 0.2162453065264326
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] |
1997455 | Gardner Electric has a beta of 0.88 and an expected dividend growth rate of 4.00% per year. The T-bill rate is 4.00%, and the T-bond rate is 5.25%. The annual return on the stock market during the past 4 years was 10.25%. Investors expect the average annual future return on the market to be 12.00%. Using the SML, what ... | 11.04% | Percentage | Business | University | 5 | [
{
"id": "336664",
"score": 0.7743853943067271
},
{
"id": "1924158",
"score": 0.7273965761544742
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{
"id": "642793",
"score": 0.5607817069140423
},
{
"id": "1915320",
"score": 0.5473373511479861
},
{
"id": "604107",
"score": 0.47872599619455336
}
] |
1649622 | A company's net income is $100,000, and its weighted-average shares outstanding are 20,000. During the year, the company issues 5,000 ESOs at an exercise price of $20. What will be the basic EPS if the average stock price during the year is $35 and treasury shares that can be purchased are 1,000? | $5 | Integer | Business | University | 5 | [
{
"id": "1398948",
"score": 0.46877639325222276
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{
"id": "697224",
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"id": "1193634",
"score": 0.3897716076418552
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{
"id": "1340760",
"score": 0.38753307376788587
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{
"id": "1090218",
"score": 0.3734385627664022
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] |
1581403 | Select the correct statement regarding commodity (or excise) taxes.
A. The reduction in consumer and producer surplus associated with a commodity tax is equivalent to the tax revenue collected.
B. The burden of tax is unrelated to who actually writes the check to the government.
C. From the perspective of buyers, ta... | B | Multiple Choice | Economics | University | 5 | [
{
"id": "1063194",
"score": 0.3924021199908477
},
{
"id": "97623",
"score": 0.32376456971300677
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{
"id": "1432998",
"score": 0.30224263826024705
},
{
"id": "553759",
"score": 0.2544545273105599
},
{
"id": "1885096",
"score": 0.24184666446810488
}
] |
1372088 | Given the sequence $a_1 = a$, $a_{n + 1} = \frac{2}{a_n + 1}$ with $0 < a < 1$, and knowing that the candidate limit is $L = 1$, how can I prove that the subsequences $a_{2n}$ and $a_{2n + 1}$ are monotone decreasing and increasing respectively and converge to the same limit, especially given the recurrence relations $... | 1 | Integer | Mathematics | University | 5 | [
{
"id": "58012",
"score": 0.6888094304160293
},
{
"id": "550942",
"score": 0.4521910409267547
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{
"id": "1826567",
"score": 0.441550548018341
},
{
"id": "1398921",
"score": 0.4393759539243449
},
{
"id": "1804997",
"score": 0.43333439967858656
}
] |
659287 | From one year to the next, inflation rises from 4 to 5 percent, while unemployment rises from 6 to 7 percent. Which of the following events could be responsible for this change?
A.The central bank increases the growth rate of the money supply.
B.The government cuts spending and raises taxes to reduce the budget defic... | B | Multiple Choice | Economics | University | 5 | [
{
"id": "792010",
"score": 0.983972723080511
},
{
"id": "880521",
"score": 0.958102530162349
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{
"id": "1020150",
"score": 0.9512897094722595
},
{
"id": "1722529",
"score": 0.3266954484618528
},
{
"id": "1460799",
"score": 0.3248095521522719
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] |
1650129 | Oriole Corp.'s sales slumped badly in 2020. For the first time in its history, it operated at a loss. The company's income statement showed the following results from selling $55,500 units of product: sales of $2,777,500, total costs and expenses of $2,869,875, and a net loss of $92,375. Costs and expenses consisted of... | $1,966,875 | Float | Business | University | 5 | [
{
"id": "2104938",
"score": 0.3242839102294947
},
{
"id": "12336",
"score": 0.3047197384165572
},
{
"id": "1080020",
"score": 0.3039508509688975
},
{
"id": "931782",
"score": 0.3036801508240506
},
{
"id": "685556",
"score": 0.2994281069681633
}
] |
861639 | Which of the following business functions is not considered to be part of the acquisitions class of transactions?
a. Processing purchase orders.
b. Receiving goods and services.
c. Processing cash disbursements.
d. Recognizing liabilities. | c | Multiple Choice | Business | University | 5 | [
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"id": "2052023",
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"id": "252534",
"score": 0.19419553722838429
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{
"id": "1240598",
"score": 0.17849546130157568
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] |
1221743 | Stefani Company has gathered the following information about its product.
Direct materials: Each unit of product contains 4.20 pounds of materials. The average waste and spoilage per unit produced under normal conditions is 0.80 pounds. Materials cost $2 per pound, but Stefani always takes the 3.00% cash discount all ... | $45.54 | Float | Business | University | 5 | [
{
"id": "572677",
"score": 0.9656955610935497
},
{
"id": "2052869",
"score": 0.6542292709850012
},
{
"id": "683046",
"score": 0.41718292895869696
},
{
"id": "357028",
"score": 0.41472423600448466
},
{
"id": "1371235",
"score": 0.3870135150567363
}
] |
1550588 | Which of the following statements is true?
a. The union-as-collective-voice view of the labor union holds that labor unions have a negative impact on productivity and efficiency.
b. The traditional view of the labor union is that the union acts as a collective voice for workers and probably leads to lower quit rate... | b | Multiple Choice | Economics | University | 5 | [
{
"id": "679450",
"score": 0.42095627072015657
},
{
"id": "1241809",
"score": 0.24139273439495101
},
{
"id": "478070",
"score": 0.23223884790859414
},
{
"id": "1697233",
"score": 0.2283768853061693
},
{
"id": "2026233",
"score": 0.2274577816779358
}
] |
1724970 | You have a portfolio with the following:
StockNumber of Shares Price Expected Return
W 775 $ 48 11%
X 675 25 15
Y 425 61 13
Z 650 46 14
What is the expected return of your portfolio? (Round answer to 2 decimal places) | 12.90% | Percentage | Finance | University | 5 | [
{
"id": "1072160",
"score": 0.4227378124943829
},
{
"id": "527624",
"score": 0.389020320852689
},
{
"id": "1389214",
"score": 0.36928765676840164
},
{
"id": "79611",
"score": 0.3539274269191437
},
{
"id": "1082505",
"score": 0.3443917343351319
}
] |
1240824 | Find an ideal $I \subset \mathbb{Z}$ such that $I\otimes_{\mathbb{Z}} \mathbb{Z}/2 \not\cong I\mathbb{Z}/2$. Is $I = (2)$ a valid ideal? If so, how can we rigorously show that $(2)\otimes_{\mathbb{Z}} \mathbb{Z}/2 \neq 0$, perhaps by constructing a bilinear map on $(2)\times \mathbb{Z}/2$? | I = (2) | Expression | Mathematics | University | 5 | [
{
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{
"id": "1896632",
"score": 0.6115792982483115
},
{
"id": "279968",
"score": 0.6069781430232233
},
{
"id": "1465024",
"score": 0.5803864717565193
},
{
"id": "1287700",
"score": 0.5593886862862909
}
] |
2028095 | Which of the following statements is correct?
A) A sinking fund provision makes a bond more risky to investors at the time of issuance.
B) Sinking fund provisions never require companies to retire their debt; they only establish "targets" for the company to reduce its debt over time.
C) If interest rates increase af... | E | Multiple Choice | Finance | University | 5 | [
{
"id": "1246785",
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},
{
"id": "1216650",
"score": 0.2774176114291376
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{
"id": "1246952",
"score": 0.2764240103349332
},
{
"id": "823246",
"score": 0.2315466798039143
},
{
"id": "1989429",
"score": 0.2255213132619698
}
] |
1591846 | A company issues $10,000,000, 7.8%, 20-year bonds to yield 8% on January 1, 2014. Interest is paid on June 30 and December 31. The proceeds from the bonds are $9,802,072. Using effective-interest amortization, how much interest expense will be recognized in 2014?
a. $390,000
b. $780,000
c. $784,249
d. $784,166 | c | Multiple Choice | Business | University | 5 | [
{
"id": "2097696",
"score": 0.3602783075813426
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"id": "611870",
"score": 0.3276969718935383
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"id": "1620731",
"score": 0.3206673666789314
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{
"id": "1062675",
"score": 0.3181579738059629
},
{
"id": "902262",
"score": 0.3055541024640506
}
] |
431474 | When did factitious disorder enter the DSM? | 1980 | Integer | Psychology | University | 5 | [
{
"id": "796747",
"score": 0.1894367823735986
},
{
"id": "264892",
"score": 0.17092422821259762
},
{
"id": "543141",
"score": 0.12419010893124131
},
{
"id": "320860",
"score": 0.12362906808129773
},
{
"id": "1652997",
"score": 0.12039455571987998
}
] |
14945 | How does one prove that $10^{12} + 10^7 - 45\sum_{k=1}^{999}\csc^4\frac{k\pi}{1000} = 11$? How does one come up with this? | 11 | Integer | Mathematics | University | 5 | [
{
"id": "282269",
"score": 0.3162717683136024
},
{
"id": "1267251",
"score": 0.30461832603978195
},
{
"id": "1900450",
"score": 0.3000975508665403
},
{
"id": "484066",
"score": 0.29341781831629976
},
{
"id": "1706691",
"score": 0.28789752759415443
}
] |
902262 | A company had a net income of $890,000. Depreciation expense is $110,000. During the year, accounts receivable and inventory increased $60,000 and $160,000, respectively. Prepaid expenses and accounts payable decreased by $8,000 and $16,000, respectively. There was also a loss on the sale of equipment of $12,000. How m... | b | Multiple Choice | Business | University | 5 | [
{
"id": "958854",
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{
"id": "85161",
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{
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{
"id": "1400324",
"score": 0.6223325882030977
},
{
"id": "1635935",
"score": 0.6090897074180055
}
] |
1186551 | Like many technology companies, Techno Tools operates in an environment of declining prices. Its reported profits will tend to be highest if it accounts for inventory using the:
A. FIFO method.
B. LIFO method.
C. weighted average cost method. | B | Multiple Choice | Business | University | 5 | [
{
"id": "1012292",
"score": 0.4548233006363056
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{
"id": "99898",
"score": 0.45291762549903924
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{
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{
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{
"id": "1833149",
"score": 0.4021030202492727
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] |
228313 | Consider an asset that costs $396,000 and is depreciated straight-line to zero over its 9-year tax life. The asset is to be used in a 4-year project; at the end of the project, the asset can be sold for $49,500.
If the relevant tax rate is 32 per cent, what is the after-tax cash flow from the sale of this asset? | 104060 | Integer | Business | University | 5 | [
{
"id": "1175303",
"score": 0.8551661127442337
},
{
"id": "1797114",
"score": 0.8459176876840421
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{
"id": "94506",
"score": 0.8445531056879346
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{
"id": "413663",
"score": 0.8418838901856343
},
{
"id": "1956732",
"score": 0.8308067701652772
}
] |
627381 | Uchida’s optical imaging research showed that as the length of the carbon chain increases, the area of activation is _____.
a. randomly distributed across the glomeruli
b. located more to the right
c. more centrally located
d. located more to the left | d | Multiple Choice | Biology | University | 5 | [
{
"id": "109591",
"score": 0.3501619690414897
},
{
"id": "1705064",
"score": 0.22728461626131852
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{
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"score": 0.20042531496638077
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{
"id": "1839265",
"score": 0.18189627371195893
},
{
"id": "1022760",
"score": 0.1787564735285172
}
] |
1566394 | Consider a single-price monopolist that has standard U-shaped cost curves. If the monopolist earns positive economic profit, which of the following statements is true?
A) The monopolist sets a price greater than marginal cost.
B) The monopolist sets a price greater than the average total cost.
C) The monopolist choo... | D | Multiple Choice | Economics | University | 5 | [
{
"id": "1325021",
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},
{
"id": "417575",
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{
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},
{
"id": "655784",
"score": 0.4652238416264529
},
{
"id": "128054",
"score": 0.46513824826671146
}
] |
448613 | Find the derivative using first principles: ln(3x) | 1/x | Expression | Mathematics | University | 5 | [
{
"id": "1161023",
"score": 0.7871833868244016
},
{
"id": "1050173",
"score": 0.6151958809892287
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{
"id": "1862981",
"score": 0.5903525567438201
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{
"id": "1613615",
"score": 0.5750088323040888
},
{
"id": "1225934",
"score": 0.44273722475980587
}
] |
1587659 | Compared to hiring a white worker, an employer is $5 less happy when he hires a black worker and is $6 less happy when he hires a Hispanic worker. The frim faces hourly wage rates of $20 for whites, $16 for blacks, and $14 for Hispanics. Which of the following describes the firm's hiring decision?
a. The firm hires al... | c | Multiple Choice | Economics | University | 5 | [
{
"id": "1587659",
"score": 1
},
{
"id": "385333",
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{
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{
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"score": 0.26429446224584485
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{
"id": "1418233",
"score": 0.2574045208762805
}
] |
1873724 | Compute the P value given the following:
H0: μ = 92
H1: μ ≠ 92
Test sample size: 576
Sample mean: 85.10
Population standard deviation: 72
Assume that the population is approximately normal. | 0.0214 | Float | Mathematics | University | 5 | [
{
"id": "1904500",
"score": 0.6489011118829744
},
{
"id": "1201801",
"score": 0.47274832231902103
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{
"id": "1797179",
"score": 0.43527809587932564
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{
"id": "1048077",
"score": 0.42441071338893016
},
{
"id": "304669",
"score": 0.4155823027924801
}
] |
1070439 | Which of the following is true? Select one:
a. In the short run, demand for business-to-business products and services is inelastic or not affected much by price changes
b. In the short run, demand for business-to-business products and services is elastic or significantly affected by price changes
c. For products th... | d | Multiple Choice | Economics | University | 5 | [
{
"id": "5373",
"score": 1.0000000000000002
},
{
"id": "388452",
"score": 0.30457169124474764
},
{
"id": "872462",
"score": 0.3018680396248249
},
{
"id": "649990",
"score": 0.28785333350133574
},
{
"id": "876948",
"score": 0.2780599321073742
}
] |
121400 | Assume that Switzerland and Britain have floating exchange rates. Other things unchanged, if a tight money policy raises interest rates in Britain as compared to Switzerland.
a. gold bullion will flow into Switzerland.
b. the Swiss franc will depreciate.
c. the pound will depreciate.
d. the Swiss franc will appreci... | d | Multiple Choice | Economics | University | 5 | [
{
"id": "1635360",
"score": 0.22127594964411046
},
{
"id": "1851624",
"score": 0.2208970747921117
},
{
"id": "476998",
"score": 0.1926130691765076
},
{
"id": "1636034",
"score": 0.18644362719163077
},
{
"id": "234055",
"score": 0.1724415185033917
}
] |
2072716 | Galaxy United, Inc. 2009 Income Statement ($ in millions)
Net Sales
$8,500
Less: Cost of goods sold
7,190
Less: Depreciation
410
Earnings before interest and taxes
900
Less: Interest paid
82
Taxable Income
818
Le... | a | Multiple Choice | Business | University | 5 | [
{
"id": "1294213",
"score": 0.6813811554775934
},
{
"id": "223696",
"score": 0.3660245157294878
},
{
"id": "853663",
"score": 0.33090781739306924
},
{
"id": "1681846",
"score": 0.3160653065003238
},
{
"id": "653218",
"score": 0.2891935332444671
}
] |
1272003 | Rawlings Company sells specialty hats for $180 each and uses the perpetual inventory system.
The following was taken from the inventory records during January. Rawlings Company had no beginning inventory on January 1st.
Date Product activity Units Cost
Jan 2 Purchase 30 $60
Jan 9 Sale 18
Jan 15 Purchas... | $2,448 | Integer | Business | University | 5 | [
{
"id": "577086",
"score": 0.6283882347358224
},
{
"id": "125845",
"score": 0.3582128759031763
},
{
"id": "594539",
"score": 0.3207668868717902
},
{
"id": "955259",
"score": 0.3036316426785318
},
{
"id": "1930275",
"score": 0.29395636766836686
}
] |
463641 | Can you help me to solve step by step this limit? $$ \lim_{n\to\infty}\frac{n\cdot \sin\left(\frac{2}{n}\right)\cdot \ln\left(1+\frac{3}{n^2}\right)} {\left(1+\frac{3}{n^2}\right)^n\cdot \left(1-\cos\left(\frac{1}{n}\right)\right)}=12 $$ | 12 | Integer | Mathematics | University | 5 | [
{
"id": "36372",
"score": 0.8419913404895598
},
{
"id": "2037281",
"score": 0.7258945874999168
},
{
"id": "1863509",
"score": 0.7147175829792045
},
{
"id": "291595",
"score": 0.6888384077145678
},
{
"id": "1235423",
"score": 0.688002050595582
}
] |
1214528 | Luis Corporation uses a standard cost system in which it applies manufacturing overhead to products on basis of machine hours (MH's). The company's standard requires 4 Machine Hours for each unit produced. Luis budgets to produce 1,100 units per month with a budgeted variable manufacturing overhead of $88,000 per month... | C | Multiple Choice | Business | University | 5 | [
{
"id": "842140",
"score": 0.4262097552740944
},
{
"id": "1485418",
"score": 0.42054747957922056
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{
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"score": 0.4143157759737604
},
{
"id": "486992",
"score": 0.40464914305614175
},
{
"id": "1849632",
"score": 0.4003511208305145
}
] |
640798 | Gee Company's accounting records and financial statements reported the following:
Cash paid to acquire machinery
$70,000
Proceeds from sale of land
80,000
Loss from the sale of land
5,000
Cash paid to acquire a trademark
38,000
Treasury st... | c | Multiple Choice | Business | University | 5 | [
{
"id": "1186093",
"score": 0.44748106807824495
},
{
"id": "977414",
"score": 0.4271552595159434
},
{
"id": "1315231",
"score": 0.4202010985140195
},
{
"id": "399620",
"score": 0.41776117119971834
},
{
"id": "450555",
"score": 0.4128298899723704
}
] |
1999692 | Given $7^{45}\equiv32 \bmod 101$, find $32^{-1}$ using square and multiply. I know that $-45\bmod 100 = 56$ (should be 100 instead of 101 since we are finding inverse using Euler's theorem) then $32^{-1} = 7^{56}$. I then used square and multiply but I get $16$ for $7^{56}$ but I know that the inverse of $32$ modulo $1... | 60 | Integer | Mathematics | University | 5 | [
{
"id": "684219",
"score": 0.3666325843844922
},
{
"id": "703716",
"score": 0.20346927322526068
},
{
"id": "280599",
"score": 0.19623970544485161
},
{
"id": "1538691",
"score": 0.18142165611161715
},
{
"id": "1674873",
"score": 0.17214126723105155
}
] |
1112391 | Consumers would be
a. spending all of their income but not maximizing total utility.
b. spending all of their income and maximizing total utility.
c. maximizing total utility without spending all of their income.
d. None of the answers above is correct. | b | Multiple Choice | Economics | University | 5 | [
{
"id": "1142166",
"score": 0.4251210606663103
},
{
"id": "1174702",
"score": 0.39193610393634143
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{
"id": "1486678",
"score": 0.3795761832089883
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"score": 0.3620113386830645
},
{
"id": "1257113",
"score": 0.34787321238597146
}
] |
1950630 | How do you evaluate the definite integral by the limit definition given ∫3x^2dx from [1,3]? | 26 | Integer | Mathematics | University | 5 | [
{
"id": "940559",
"score": 0.6148561096940086
},
{
"id": "1986149",
"score": 0.5945927093985129
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{
"id": "1859684",
"score": 0.5880005318433125
},
{
"id": "1510197",
"score": 0.5733992273758428
},
{
"id": "705383",
"score": 0.4847482166660822
}
] |
1058709 | If the wage elasticity of demand for professors is {eq}\displaystyle -0.5
{/eq}, then an increase in the wage of professors from {eq}\$45,000
{/eq} to {eq}\$55,000
{/eq} will cause the quantity demanded to fall by how many percentage? | 11.11% | Percentage | Economics | University | 5 | [
{
"id": "762291",
"score": 1
},
{
"id": "2020589",
"score": 0.520856852944934
},
{
"id": "1727658",
"score": 0.4996423344799588
},
{
"id": "673105",
"score": 0.4955407368050547
},
{
"id": "251509",
"score": 0.49403853300524625
}
] |
39040 | Solve $x^2+tx'+x=0$. I solved it as a Bernoulli equation with the substitution $z=\frac 1 x$, which led to the solution $x=\frac {1}{Ct+1}$. However, the actual answer is $x=\frac {e^C}{t-e^C}$. Wolfram Alpha also confirms the second answer. Where did I make a mistake in my solution, and if I didn't, why do these two s... | $x=\frac{e^C}{t-e^C}$ | Expression | Mathematics | University | 5 | [
{
"id": "1771677",
"score": 0.29928363075637565
},
{
"id": "1067574",
"score": 0.2801716211723865
},
{
"id": "83200",
"score": 0.2727049485417954
},
{
"id": "1397456",
"score": 0.2657829024207332
},
{
"id": "325937",
"score": 0.26481310514162737
}
] |
1317900 | Computing the following limit $$\lim_{n\to \infty} \frac{\ln^2n}{n}\sum_{k=2}^{n-2}\frac{1}{\ln k\ln(n-k)}$$
I have shown that $$\frac{\ln^2n}{n}\sum_{k=2}^{n-2}\frac{1}{\ln k\ln(n-k)}\ge \frac{\ln^2n}{n}\frac{n-3}{\ln^2n} =1-\frac{3}{n}\to1$$
How can I squeeze the sum from above to find the limit? | 1 | Integer | Mathematics | University | 5 | [
{
"id": "1956281",
"score": 0.7591343417768006
},
{
"id": "1231151",
"score": 0.7134645124063655
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{
"id": "1755799",
"score": 0.6928588887822669
},
{
"id": "85492",
"score": 0.6695284084081354
},
{
"id": "2007518",
"score": 0.6427660424664222
}
] |
197480 | The entry to record the amortization of a premium on bonds payable is:
a. debit Premium on Bonds Payable, credit Interest Expense.
b. debit Interest Expense, credit Premium on Bond Payable.
c. debit Interest Expense, debit Premium on Bonds Payable, credit Cash.
d. debit Bonds Payable, credit Interest Expense. | b | Multiple Choice | Business | University | 5 | [
{
"id": "1739942",
"score": 0.8229029208373999
},
{
"id": "658215",
"score": 0.7766958583902674
},
{
"id": "202996",
"score": 0.6066597847710025
},
{
"id": "1033876",
"score": 0.5470347501219939
},
{
"id": "25806",
"score": 0.5438132786606169
}
] |
506002 | Evaluate the integral. {eq}\int_0^3 \frac{dt}{\sqrt {9 + t^2}} | ln(1+sqrt(2)) | Expression | Mathematics | University | 5 | [
{
"id": "1480295",
"score": 0.8492851787975736
},
{
"id": "797473",
"score": 0.8326063283880314
},
{
"id": "1155958",
"score": 0.7847214491611675
},
{
"id": "598720",
"score": 0.6450486202100568
},
{
"id": "1135737",
"score": 0.6450486202100568
}
] |
1465306 | Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves y=x^3, y=8, x=0 about the axis x=3. V= | 264\pi /5 | Expression | Mathematics | University | 5 | [
{
"id": "806158",
"score": 0.8249229567078824
},
{
"id": "1394051",
"score": 0.7123498811503521
},
{
"id": "1807198",
"score": 0.5691814686932963
},
{
"id": "845161",
"score": 0.5415514434318105
},
{
"id": "504642",
"score": 0.5391828196245343
}
] |
1490017 | Suppose the current exchange rate for the Polish zloty is Z 2.81. The expected exchange rate in three years is Z 2.87. What is the difference in the annual inflation rates for the United States and Poland over this period? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal plac... | 0.71% | Percentage | Finance | University | 5 | [
{
"id": "1614063",
"score": 0.42278005362908605
},
{
"id": "292068",
"score": 0.411964331664529
},
{
"id": "887356",
"score": 0.40486690309964374
},
{
"id": "1888228",
"score": 0.3910607121067674
},
{
"id": "981343",
"score": 0.38483593334804195
}
] |
78446 | A put option gives the owner the right:
A. And the obligation to buy an asset at a given price.
B. And the obligation to sell an asset as a given price.
C. But not the obligation to buy or sell an asset at a given price.
D. But not the obligation to buy an asset at a given price.
E. But not the ob... | E | Multiple Choice | Finance | University | 5 | [
{
"id": "703589",
"score": 0.36290854795154154
},
{
"id": "273358",
"score": 0.35258761641221775
},
{
"id": "528448",
"score": 0.3009281698036895
},
{
"id": "1285958",
"score": 0.29297979575712485
},
{
"id": "907779",
"score": 0.2569374972518842
}
] |
1674715 | A STAT 200 instructor is interested in the average weekly study time for UMUC STAT 200 students. She teaches two sections in Spring OL4, and randomly chooses 15 students from the first section and 18 students from the second section. This sampling method is called
a. cluster
b. convenience
c. stratified
d. systemat... | c | Multiple Choice | Mathematics | University | 5 | [
{
"id": "1552311",
"score": 0.6906407320927508
},
{
"id": "1670912",
"score": 0.2683627628341998
},
{
"id": "1929295",
"score": 0.26258817358358594
},
{
"id": "1454207",
"score": 0.25662877024803754
},
{
"id": "96372",
"score": 0.2369668363615908
}
] |
1533409 | Evaluate the limit: {eq}\lim_{x\rightarrow \infty} x^3 sin (\frac{5}{x^3}) {/eq} | 5 | Integer | Mathematics | University | 5 | [
{
"id": "1428474",
"score": 0.8264217526729066
},
{
"id": "154375",
"score": 0.8190665489688929
},
{
"id": "174746",
"score": 0.8048270971793283
},
{
"id": "1674022",
"score": 0.7729601249128366
},
{
"id": "2013916",
"score": 0.7616296171075747
}
] |
669315 | Evaluate the double integral {eq}\iint_{D} 8xy \, \mathrm{d}A, \; D{/eq} is the triangular region with vertices {eq}(0, 0), \; (1, 2),{/eq} and {eq}(0, 3){/eq}. | 7 | Integer | Mathematics | University | 5 | [
{
"id": "90414",
"score": 0.9258345693198595
},
{
"id": "2081399",
"score": 0.8950089469712451
},
{
"id": "283780",
"score": 0.8915489002183732
},
{
"id": "635354",
"score": 0.8499146816868294
},
{
"id": "568640",
"score": 0.8015546252665315
}
] |
678816 | Rates that the world's largest banks charge one another for loans are called _____.
A) interbank interest rates
B) London Interbank Bid Rates
C) exchange rates
D) official bank rates | A | Multiple Choice | Economics | University | 5 | [
{
"id": "1860839",
"score": 0.3630141417213687
},
{
"id": "1683492",
"score": 0.35575100028981665
},
{
"id": "1288859",
"score": 0.32936781733606707
},
{
"id": "757055",
"score": 0.3243786623133893
},
{
"id": "832463",
"score": 0.30729356881664494
}
] |
1054912 | On October 17 of the current year, a company determined that a customer's account receivable was uncollectible and that the account should be written off. Assuming the allowance method is used to account for bad debts, what effect will this write-off have on the company's net income and total assets?
A. Increase in ne... | C | Multiple Choice | Business | University | 5 | [
{
"id": "1219889",
"score": 0.5794859430819478
},
{
"id": "1559410",
"score": 0.5630521109175282
},
{
"id": "2101857",
"score": 0.4675990807334471
},
{
"id": "547269",
"score": 0.4650043333327965
},
{
"id": "659421",
"score": 0.4565015872050572
}
] |
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