id string | problem string | answer string | answer_type string | category string | difficulty string | eval_score int64 | similar_problems list |
|---|---|---|---|---|---|---|---|
604412 | When the economy is in a recession, expansionary fiscal policy can be used to stimulate and encourage economic growth. Which of the following scenarios represent expansionary fiscal policies from both a supply and demand perspective at the same time? When choosing the answer, please look if it meets three description, ... | A | Multiple Choice | Economics | University | 6 | [
{
"id": "1206621",
"score": 0.310561473802182
},
{
"id": "16553",
"score": 0.3086428754878162
},
{
"id": "1564033",
"score": 0.30613103907886086
},
{
"id": "1680784",
"score": 0.29049441180089924
},
{
"id": "1520220",
"score": 0.27814212791708515
}
] |
1092307 | Snow cone machine at an ice cream shop costs $15,000. The machine is expected to generate profits of $2,500 each year of its 10 year useful life. At the end of the 10 years the machine will have a salvage value of zero. What interest rate range does the IRR fall in?
A. Less than 10%
B.10% to 12 %
C.12% to 14%
D. ... | B | Multiple Choice | Business | University | 6 | [
{
"id": "12818",
"score": 0.4714491695799625
},
{
"id": "611268",
"score": 0.42428179145214673
},
{
"id": "1739804",
"score": 0.4222068041194471
},
{
"id": "1574070",
"score": 0.4146261885942833
},
{
"id": "121173",
"score": 0.41227454927441093
}
] |
1067553 | Consumers will bear more of the burden of tax, the:
A. more elastic supply is.
B. more elastic demand is.
C. the more inelastic supply is.
D. Consumers always bear the burden of the tax, since they pay the final price.
E. None of the above. | C | Multiple Choice | Economics | University | 6 | [
{
"id": "1662980",
"score": 0.5040355781644379
},
{
"id": "97623",
"score": 0.46678753212838714
},
{
"id": "28479",
"score": 0.44500658891459965
},
{
"id": "1816275",
"score": 0.42096682442585975
},
{
"id": "1174313",
"score": 0.41181003621702555
}
] |
629680 | Suppose 70% of all college students have jobs prior to graduation. If a random sample of 100 college seniors is taken, approximate the probability that more than 71 have a job prior to graduation. Use the normal approximation to the binomial with correction for continuity. | 0.3707 | Float | Mathematics | University | 6 | [
{
"id": "90133",
"score": 0.35993746140572674
},
{
"id": "1107042",
"score": 0.28957936365599024
},
{
"id": "196581",
"score": 0.2661591005246155
},
{
"id": "891930",
"score": 0.2634756219711526
},
{
"id": "770723",
"score": 0.25880464567409106
}
] |
1166043 | Omega Company has the following two customers:
Woodruff Ensley
Sales $900,000 $800,000
Cost of Goods Sold 360,000 160,000
MSDA expenses excluding sales commissions 640,000 130,000
If the company pays a 2% sales commission based on revenue, this will encourage a salespersons' efforts to sell to:
a. Woodruff, an unpr... | b | Multiple Choice | Business | University | 6 | [
{
"id": "546296",
"score": 0.2890955632040872
},
{
"id": "1950577",
"score": 0.21849637753863388
},
{
"id": "1786886",
"score": 0.21101510745689903
},
{
"id": "1315231",
"score": 0.2099586706188691
},
{
"id": "2097696",
"score": 0.20524182731721638
}
] |
48621 | Calculate the limit: $$\lim_{x\rightarrow \infty}\frac{\ln x}{x^{a}}$$ Is the following calculation and result correct?
$$\lim_{x\rightarrow\infty}\frac{\ln x}{x^{a}} = \lim_{x\rightarrow\infty}\frac{\frac{1}{x}}{e^{\ln x \cdot a} \cdot \frac{1}{x} \cdot a}= \lim_{x\rightarrow\infty}\frac{x}{e^{\ln x \cdot a} \cdot a \... | 0 | Float | Mathematics | University | 6 | [
{
"id": "2015169",
"score": 0.6734097990231134
},
{
"id": "1755799",
"score": 0.6580401578874624
},
{
"id": "114975",
"score": 0.6548173833664103
},
{
"id": "1277404",
"score": 0.6482782335626052
},
{
"id": "2073192",
"score": 0.6482782335626052
}
] |
448026 | A key goal of intra-neuronal communication is to _____
A) release neurotransmitter from the presynaptic terminal.
B) generate an EPSP at presynaptic dendrites.
C) generate an IPSP at presynaptic, dendrites.
D) re-uptake neurotransmitter from the synaptic cleft.
E) generate spatial and temporal summation in the pre... | A | Multiple Choice | Biology | University | 6 | [
{
"id": "1904038",
"score": 0.08566708285797925
},
{
"id": "1007708",
"score": 0.08251781385387237
},
{
"id": "439014",
"score": 0.0697706644272661
},
{
"id": "1017330",
"score": 0.0697141678605337
},
{
"id": "22222",
"score": 0.06692075413511743
}
] |
1486678 | If purchasing a new home was counted as consumer spending rather than investment spending, GDP would:
a) decrease, because investment spending is worth more than consumer spending.
b) increase, because investment spending is worth less than consumer spending.
c) increase, because consumer spending is a larger part o... | e | Multiple Choice | Economics | University | 6 | [
{
"id": "1137158",
"score": 0.6931443428856965
},
{
"id": "331757",
"score": 0.4749536990496449
},
{
"id": "1885096",
"score": 0.47442747000925467
},
{
"id": "479846",
"score": 0.45612918242008915
},
{
"id": "1661223",
"score": 0.438276704522038
}
] |
1014112 | Solve this equation $$\sum_{n=1}^{\infty }\sum_{k=1}^{\infty }\frac{1}{n}(\frac{x}{n})^k=0$$ | x=0 | Expression | Mathematics | University | 6 | [
{
"id": "1397645",
"score": 0.9617263974792141
},
{
"id": "484074",
"score": 0.7521652663935214
},
{
"id": "2073192",
"score": 0.6851040262769292
},
{
"id": "1277404",
"score": 0.6851040262769292
},
{
"id": "905739",
"score": 0.6540123991782207
}
] |
936474 | I have to prove that $\int^{R+i}_{R}\frac{cosh(az)}{cosh(\pi z)}dz$ goes to zero if R goes to infinity, given that $\left|a\right|<\pi$. I want to use the ML-estimation: $\left|\int^{R+i}_{R}\frac{cosh(az)}{cosh(\pi z)}dz\right|\leq max_{z=R+iy, 0\leq y\leq 1}\left|\frac{cosh(az)}{cosh(\pi z)}\right|$. How do I find a ... | 0 | Integer | Mathematics | University | 6 | [
{
"id": "886431",
"score": 0.47771758527232316
},
{
"id": "1198756",
"score": 0.475237591743796
},
{
"id": "336219",
"score": 0.39376735030230475
},
{
"id": "627771",
"score": 0.35403007428432987
},
{
"id": "1647378",
"score": 0.3399333733765032
}
] |
1286960 | A stock has an expected return of 14 percent, its beta is 1.45, and the expected return on the market is 11 percent. What must the risk-free rate be? | 4.33% | Percentage | Finance | University | 6 | [
{
"id": "2078504",
"score": 0.924594196845715
},
{
"id": "1717227",
"score": 0.8455824756596991
},
{
"id": "868571",
"score": 0.8036759456245506
},
{
"id": "409500",
"score": 0.7989918428141245
},
{
"id": "1624842",
"score": 0.7526052785391893
}
] |
2011574 | In your weekly meeting Sue asks you to prepare some numbers for the investor conference call right after the board meeting. You know one question potential investors will have is how much return they can expect from investing in your common stock. So you need to calculate the cost of your stock in relation to the price... | 10.24% | Percentage | Finance | University | 6 | [
{
"id": "1915320",
"score": 0.4820940924077005
},
{
"id": "537368",
"score": 0.47576637164277646
},
{
"id": "868571",
"score": 0.43935085507092575
},
{
"id": "561818",
"score": 0.43917010287542335
},
{
"id": "492965",
"score": 0.43400729297265994
}
] |
876948 | For a monopolist, as demand changes, this will lead to changes in:
a. Price with no change in output,
b. Both price and quantity,
c. Output with no change in price,
d. Any of the choices can be true. | b | Multiple Choice | Economics | University | 6 | [
{
"id": "649990",
"score": 0.9659778079522703
},
{
"id": "456595",
"score": 0.3818536357996608
},
{
"id": "1203713",
"score": 0.3757119342224251
},
{
"id": "473958",
"score": 0.3690339502006982
},
{
"id": "1616221",
"score": 0.361647136516967
}
] |
1573005 | Suppose that in the perfectly competitive market for the normal good gasoline, there is a simultaneous decrease in the income of consumers who purchase gasoline and an increase in the oil price (an input used in producing gasoline). With these changes, we expect?
A. an increase in the price of gasoline and an increase... | D | Multiple Choice | Economics | University | 6 | [
{
"id": "1968093",
"score": 1.0000000000000002
},
{
"id": "965400",
"score": 0.7363640056654793
},
{
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{
"id": "36058",
"score": 0.518589154534681
},
{
"id": "806474",
"score": 0.5182894172234482
}
] |
1205960 | ABC Inc. borrows money at 8%, sells bonds at 7%, and the purchasers of common stock require 14% rate of return.
If the company has borrowed $40 million, sold $60 million in bonds, and sold $100 million worth of common stocks, what is the Weighted Average Cost of Capital (WACC)? | 10.7% | Percentage | Business | University | 6 | [
{
"id": "763780",
"score": 0.48236495837037324
},
{
"id": "282648",
"score": 0.37975331216435804
},
{
"id": "1083143",
"score": 0.37113600823348725
},
{
"id": "859039",
"score": 0.3661629750104477
},
{
"id": "144071",
"score": 0.36461068220619003
}
] |
1176474 | Presented is information for Stafford Company's three products.
A B C
Unit selling price $5 $8 $8
Unit variable costs (3) (4) (1)
Unit contribution margin $2 $4 $7
With monthly fixed costs of $387,500, the company sells two units of A for each unit of B and three units of B for each unit of C.
Determine the un... | 75,000 | Integer | Business | University | 6 | [
{
"id": "1983417",
"score": 0.9482712754601633
},
{
"id": "1965123",
"score": 0.9149633848984572
},
{
"id": "1488329",
"score": 0.9116168459378583
},
{
"id": "1101926",
"score": 0.6206860066979719
},
{
"id": "1109252",
"score": 0.5946848778883954
}
] |
2001338 | XYZ common stock is expected to pay a dividend of $2.58 next year, and that dividend grows at a constant rate of 9.4%.
If the current price of XYZ common stock is $20.25, then what is the expected rate of return for this stock, based on the Discounted Cash Flow model? | 22.14% | Percentage | Finance | University | 6 | [
{
"id": "537368",
"score": 0.5040467980553132
},
{
"id": "989334",
"score": 0.48671755155851826
},
{
"id": "77493",
"score": 0.4788894860914194
},
{
"id": "925994",
"score": 0.4774725480408965
},
{
"id": "875197",
"score": 0.45874566672633
}
] |
1716227 | Zen Energies is a Chinese branch of Super Sigma Inc., incorporated in the U.S. In the year ending Dec. 31, 2014, the net income of Zen was 25 million Yuan before tax of 25%. During the year the average exchange rate was 0.16379 Yuan per dollar. The exchange rate on the date of payment of taxes was 0.16474 Yuan per doll... | B | Multiple Choice | Business | University | 6 | [
{
"id": "859039",
"score": 0.30828702787575973
},
{
"id": "694977",
"score": 0.30789583379970664
},
{
"id": "261851",
"score": 0.302366184484039
},
{
"id": "697349",
"score": 0.3008203762166513
},
{
"id": "1693730",
"score": 0.29762289647154394
}
] |
145318 | I am trying to compute $\int_{C}Log(z+3)$, where C is a circle centered at the origin, with radius of 2, oriented once counterclockwise. I am thinking $z=2e^{i \theta}$ since the radius is 2, giving $\int_{C}Log(2e^{i \theta}+3)2ie^{i \theta}d \theta$. Where do I go from there? | 0 | Integer | Mathematics | University | 6 | [
{
"id": "1177620",
"score": 0.5324310810456945
},
{
"id": "1279534",
"score": 0.5283070995502505
},
{
"id": "60600",
"score": 0.5218086941244853
},
{
"id": "1878926",
"score": 0.5127551796417105
},
{
"id": "428818",
"score": 0.49708293775546125
}
] |
1164295 | Direct materials used is $1,100,000, and I have to compute the total manufacturing costs using the following information. Raw materials inventory, January 1 was $20,000; Raw materials inventory, December 31 was 40,000; Work in process, January 1 was 18,000; Work in process, December 31 was 12,000; Finished goods, Janua... | $2,260,000 | Integer | Business | University | 6 | [
{
"id": "1658820",
"score": 0.6198489577509767
},
{
"id": "1248614",
"score": 0.6139083820537099
},
{
"id": "1796135",
"score": 0.5994134067435416
},
{
"id": "298878",
"score": 0.5879764927987705
},
{
"id": "829529",
"score": 0.5869586727570516
}
] |
1426540 | Which of the following would cause both the equilibrium price and equilibrium quantity of number two grade potatoes (an inferior good) to increase?
a. an increase in consumer income
b. a decrease in consumer income
c. greater government restrictions on agricultural chemicals
d. fewer government restrictions on agri... | b | Multiple Choice | Economics | University | 6 | [
{
"id": "1125629",
"score": 0.28754992768753923
},
{
"id": "363127",
"score": 0.2512019505873106
},
{
"id": "369445",
"score": 0.24884799725535306
},
{
"id": "1580269",
"score": 0.23680709183705873
},
{
"id": "1955042",
"score": 0.2354813785714179
}
] |
411410 | You are considering investing in a bank account that pays a nominal annual rate of 7%, compounded monthly. If you invest $3,000 at the end of each month, how many months will it take for your account to grow to $150,000? | 44 | Integer | Finance | University | 6 | [
{
"id": "978290",
"score": 0.7015951760153528
},
{
"id": "428870",
"score": 0.48453656251610866
},
{
"id": "1940088",
"score": 0.4818490654513973
},
{
"id": "1331309",
"score": 0.4596924011940839
},
{
"id": "1197450",
"score": 0.45736818600114304
}
] |
1660447 | Solve: {eq}\displaystyle \int \frac{3 x + 3}{(x - 1) (x + 2) }dx | 2ln|x-1|+ln|x+2|+C | Expression | Mathematics | University | 6 | [
{
"id": "184668",
"score": 0.8852474070838582
},
{
"id": "380732",
"score": 0.876965764323258
},
{
"id": "1092947",
"score": 0.7530461327322497
},
{
"id": "980078",
"score": 0.7174474463370122
},
{
"id": "1418189",
"score": 0.6487589084021383
}
] |
1683153 | Show that $f: [0, \pi] \to \mathbb R$, $f(x) = \sin(x)$ is Riemann-integrable and determine $\int_0^\pi f$ (e.g. by Riemann sums). I showed it being Riemann-integrable because it is continuous. So, I made an equal partition $P_n$, s. t. $|x_i - x_{i-1}|= {\pi \over n}$ and $$S(f, P, Z) = \sum_{i=1}^n \sin({i\pi \over n... | 2 | Integer | Mathematics | University | 6 | [
{
"id": "866777",
"score": 0.7205754561058217
},
{
"id": "5455",
"score": 0.6365920757983883
},
{
"id": "304468",
"score": 0.5536741602319345
},
{
"id": "642049",
"score": 0.5233997429561577
},
{
"id": "832023",
"score": 0.5222379989543254
}
] |
1814742 | Which action step should you recommend to a truck tire warehouse manager whose employees are now suffering reality shock about a bonus plan they initially liked?
A.
Don't over react, things will work out okay.
B.
Speed up the change.
C.
Rethink the change.
D.
Set tough long-term goals.
E.
Listen supportivel... | E | Multiple Choice | Business | University | 6 | [
{
"id": "564311",
"score": 0.14682460588795265
},
{
"id": "662362",
"score": 0.13995741079548837
},
{
"id": "582247",
"score": 0.13742709378127377
},
{
"id": "1244347",
"score": 0.13106913024262437
},
{
"id": "728170",
"score": 0.12346197465414124
}
] |
733986 | You recently hired individuals from China, Japan, and Korea to your office. What type of interpersonal conflict would be most likely?
a) Personal differences
b) Informational deficiency
c) Role incompatibility
d) Environmental stress
e) There would be no conflict, as all the new hires are Asian | a | Multiple Choice | Business | University | 6 | [
{
"id": "375758",
"score": 0.2779390113199528
},
{
"id": "524317",
"score": 0.27631680360186617
},
{
"id": "779903",
"score": 0.2219764224988497
},
{
"id": "273931",
"score": 0.14684774306949014
},
{
"id": "385333",
"score": 0.14200523651435365
}
] |
513226 | A 1.5-foot-diameter sphere, initially at 400 {eq}^o{/eq}F, of a material with a conductivity of 10 Btu/ft{eq}\cdot{/eq}s{eq}\cdot{/eq}R cooled by air at 70 {eq}^o{/eq}F with a heat transfer coefficient of 20 Btu/ft{eq}^2{/eq}{eq}\cdot{/eq}s{eq}\cdot{/eq}R This problem is an example of
a) Steady state convection that c... | c | Multiple Choice | Physics | University | 6 | [
{
"id": "2020589",
"score": 0.4021343747053306
},
{
"id": "1727658",
"score": 0.3857554270744171
},
{
"id": "251509",
"score": 0.38142893854063836
},
{
"id": "1931528",
"score": 0.37959131188315215
},
{
"id": "829114",
"score": 0.3794521998542843
}
] |
1638421 | Royal Petroleum Co. can buy a piece of equipment that is anticipated to provide a 9 percent return and can be financed at 6 percent with debt. Later in the year, the firm turns down an opportunity to buy a new machine that would yield a 16 percent return but would cost 18 percent to finance through common equity. Assum... | 13% | Percentage | Business | University | 6 | [
{
"id": "39863",
"score": 0.8821108974791898
},
{
"id": "374160",
"score": 0.6884544217271089
},
{
"id": "1609687",
"score": 0.5825493344730538
},
{
"id": "1946727",
"score": 0.5796629014698005
},
{
"id": "1345815",
"score": 0.5769289162542535
}
] |
999160 | Prove the identity $\sum_{k=0}^{n}(-1)^k {2n-k \choose k} 2^{2n-2k} = 2n+1$ directly, using generating functions/algebra. Calculate $\Sigma_{n=0}^\infty\Sigma_{k=0}^{n}(-1)^k {2n-k \choose k} 2^{2n-2k} x^{2n}$ and consider the fact that $ \Sigma_{n=0}^\infty(2n+1)x^{2n}= \frac{d}{dx}\frac{x}{1-x^2} $ and $(1-x)^{-a-1}=... | 2n+1 | Integer | Mathematics | University | 6 | [
{
"id": "1826567",
"score": 0.6457467063114398
},
{
"id": "1398921",
"score": 0.6110627966833899
},
{
"id": "592302",
"score": 0.6060391534114822
},
{
"id": "1804997",
"score": 0.6037373247891006
},
{
"id": "956386",
"score": 0.5781281640829965
}
] |
929759 | The following are the Jensen Corporation's unit costs of making and selling an item at a volume of 2,100 units per month (which represents the company's capacity):
Manufacturing:
Direct materials$2.10
Direct labor$3.10
Variable overhead$1.60
Fixed overhead$0.40
Selling and Administrative:
Variable$3.10
Fixed$0.80
... | a | Multiple Choice | Business | University | 6 | [
{
"id": "740537",
"score": 0.9409729807560256
},
{
"id": "1360250",
"score": 0.879451580326135
},
{
"id": "1492296",
"score": 0.8612843972550991
},
{
"id": "398879",
"score": 0.8422676940561694
},
{
"id": "823262",
"score": 0.6376411369151045
}
] |
1178602 | Chiefland Campers is evaluating a project that will not affect revenues, but it will save the firm $110,000 per year in before-tax operating costs, excluding depreciation. The project's depreciable basis is $840,000, and it will be depreciated on a straight-line basis to a book value equal to zero ($0) over its 10-year... | $101,160 | Float | Business | University | 6 | [
{
"id": "2010813",
"score": 0.4373740914234426
},
{
"id": "2052225",
"score": 0.4072706884121237
},
{
"id": "1781236",
"score": 0.3727758676031177
},
{
"id": "1040341",
"score": 0.3589500682354688
},
{
"id": "1739804",
"score": 0.33973272836975593
}
] |
506875 | How many subjects are needed in the study if the estimate needs to be within 5 points with 95% confidence, assuming a population standard deviation of 3.4? | 2 | Integer | Mathematics | University | 6 | [
{
"id": "641432",
"score": 0.4742470762455884
},
{
"id": "353533",
"score": 0.4463853028479534
},
{
"id": "1401778",
"score": 0.3708945056411385
},
{
"id": "1641716",
"score": 0.3562906206068476
},
{
"id": "747336",
"score": 0.3551581677733009
}
] |
584747 | Which one of the following is probably the most successful means of finding venture capital?
a. Internet searches
b. Tombstone ads
c. Newspaper advertisements
d. Personal contacts
e. Personal letters to venture capital firms | d | Multiple Choice | Business | University | 6 | [
{
"id": "841427",
"score": 0.22148712558904393
},
{
"id": "1767032",
"score": 0.1764985427078903
},
{
"id": "976314",
"score": 0.167802180550379
},
{
"id": "1942852",
"score": 0.1397506758147056
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{
"id": "452505",
"score": 0.13803616055340442
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] |
666961 | A decrease in the interest rate, other things being equal, causes a(an):
a. upward movement along the demand curve for money.
b. downward movement along the demand curve for money.
c. rightward shift of the demand curve for money.
d. leftward shift of the demand curve for money. | b | Multiple Choice | Economics | University | 6 | [
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684222 | Capital budgeting decisions depend in part on all of the following except the:
A) relationships among proposed projects.
B) profitability of the company.
C) company's basic decision-making approach.
D) risks associated with a particular project. | B | Multiple Choice | Business | University | 6 | [
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1537555 | Graphing gives the solution to be $0.739,$ but I want to know how to find that value mathematically. I imagine I'd have to use trigonometric identities, but how to go about it? | 0.739 | Float | Mathematics | University | 6 | [
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1218526 | Which of the following is a temporary difference classified as a revenue or gain that is taxable after it is recognized in financial income?
a) Subscriptions received in advance.
b) Interest received on a municipal obligation.
c) Prepaid rent received in advance.
d) Sales accounted for on the accrual basis for fina... | d | Multiple Choice | Business | University | 6 | [
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"id": "28785",
"score": 0.26139255120265714
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] |
853663 | Use the below information to answer the following question.
Income Statement For the Year
Sales $42,700
Cost of goods sold $29,250
Depreciation $3,750
Earnings before interest and taxes $9,700
Interest paid $1,360
Taxable income $8,340
Net income $ ,500
Dividends $1,925
Balance Sheet
End-of-Year Cash $1,320
... | C | Multiple Choice | Finance | University | 6 | [
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"score": 0.38412126094358146
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{
"id": "1520877",
"score": 0.37915048641657767
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] |
1079588 | Zippy Corporation just purchased computing equipment for $20,000. The equipment will be depreciated using a five-year MACRS depreciation schedule. If the equipment is sold at the end of its fourth year for $13,000, what are the after-tax proceeds from the sale, assuming the marginal tax rate is 35 percent. (Round answe... | $9,659.60 | Float | Business | University | 6 | [
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"score": 0.3720272721061599
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"id": "2095646",
"score": 0.349111330149563
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532743 | Use spherical coordinates. Evaluate {eq}xyz \;dV\; E{/eq} , where {eq}E{/eq} lies between the spheres {eq}\rho=1{/eq} and {eq}\rho = 4{/eq} and above the cone {eq}\phi = \frac{\pi}{3}{/eq}. | 0 | Integer | Mathematics | University | 6 | [
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"id": "2020589",
"score": 0.7299988696831989
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{
"id": "1642380",
"score": 0.7137571340305976
},
{
"id": "593117",
"score": 0.7068689887864725
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] |
133509 | X-Centric Energy Company has issued perpetual preferred stock, with a stated (par) value of $100, and a dividend of 6.0%. If the required rate of return is 12.00%, what is the stock's current market price? (Round answer to 2 decimal places, e.g. 15.25.) | 50.00 | Float | Finance | University | 6 | [
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1783890 | A decrease in the price level leads to which of the following sequences?
a. The money demand curve shifts leftward, the interest rate drops, the aggregate expenditure line shifts upward, and there is a movement downward along the aggregate demand curve.
b. The money demand curve shifts rightward, the interest rate in... | a | Multiple Choice | Economics | University | 6 | [
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"score": 0.5630277547457248
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{
"id": "102293",
"score": 0.5279752657433181
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] |
703589 | A _____ put seller has the possible obligation to buy stock at the strike price.
A. Long.
B. Short.
C. Strike. | B | Multiple Choice | Finance | University | 6 | [
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193189 | Matta Corporation Stock currently sells for $72 per share. The market requires an 11 percent return on the firm's stock. If the company maintains a constant 6.5 percent growth rate in dividends, what was the most recent dividend per share paid on the stock? | 3.04 | Float | Business | University | 6 | [
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1099122 | Suppose the probability density function for a random variable X equals the following: {eq}f(x) = 3x^2 \ \text{for} \ (0 < x < 1), \ f(x) = 0{/eq} otherwise. Use {eq}F(x){/eq} to find the {eq}P(0.25 < x < 0.50){/eq} | 0.109375 | Float | Mathematics | University | 6 | [
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"score": 0.7023170960698926
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"score": 0.6944134186304164
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1988780 | Suppose you know that a company's stock currently sells for $56 per share and the required return on the stock Is 10%. You also know that the total return on the stock is evenly divided between a capital gains yield and a dividend yield.
If it's the company's policy to always maintain a constant growth rate in its div... | $2.80 | Float | Business | University | 6 | [
{
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"score": 0.9578313124738524
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{
"id": "1408174",
"score": 0.9567064822418868
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] |
1138027 | How does depreciation affect the calculation of a project's payback period?
A. Depreciation is added to the annual cash inflows.
B. Depreciation is only deducted if the payback period exceeds five years.
C. Depreciation does not affect the payback calculation.
D. Depreciation is deducted from the annual cash inflow... | C | Multiple Choice | Business | University | 6 | [
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"score": 0.3623491248856709
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1305600 | The Row Boat has paid annual dividends of $.48, $0.60, and $0.62 a share over the past three years, respectively. The company now predicts that it will maintain a constant dividend since its business has leveled off and sales are expected to remain relatively constant. Given the lack of future growth, you will only buy... | $4.43 | Float | Finance | University | 6 | [
{
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{
"id": "441385",
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"id": "1276594",
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{
"id": "1976812",
"score": 0.3456003271217763
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{
"id": "1678612",
"score": 0.3332485867129964
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] |
1331309 | You're prepared to make monthly payments of $250, beginning at the end of this month, into an account that pays 8 percent interest compounded monthly. How many payments will you have made when your account balance reaches $50,000? | 128 | Integer | Finance | University | 6 | [
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"id": "1290736",
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{
"id": "649131",
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] |
916677 | Evaluate the expansion coefficient, {eq}\alpha
{/eq} for an ideal gas at STP? Answer: {eq}3.6610\times {{10}^{-3}}/\text{K}
{/eq} | 3.6610e-3 /K | Float | Physics | University | 6 | [
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2050375 | Wal-Mart s current stock price is $37.65, it just paid a dividend of $4.25, and its discount rate is 14%. According to the dividend growth model, what is the growth rate that justifies this stock price? | 2.44% | Percentage | Finance | University | 6 | [
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540222 | Which of the following statements describes a risk-loving individual?
a. Her certainty equivalent is greater than the expected value of the income from the chosen activity,
b. Her certainty equivalent is less than the expected value of the income from the chosen activity,
c. Her certainty equivalent is equal to the ... | b | Multiple Choice | Economics | University | 6 | [
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"score": 0.26701633008401604
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{
"id": "1348592",
"score": 0.2630699459430857
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1370930 | You are given the following information for Sookie's Cookies Co.:
Sales $52,600
Costs $38,200
Addition to retained earnings $2,460
Dividends paid $1,005
interest expense $1,420
Tax rate 40 percent
Calculate the depreciation expense for the company. (Do not round intermediate calculations and round your an... | 7205 | Integer | Business | University | 6 | [
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"score": 0.3138192429854531
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"score": 0.3008134244100108
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805268 | Fama's Llamas has a weighted average cost of capital of 10 percent. The company's cost of equity is 14 percent, and its cost of debt is 8 percent. The tax rate is 38 percent. What is the company's debt-equity ratio? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., 32.1616.)
Debt... | 0.7937 | Float | Finance | University | 6 | [
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"score": 0.6841643513684579
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"score": 0.6740905227440797
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] |
1440931 | Which of the following would be an example of a sunk cost?
a. The cost of a new oil burner that replaced a destroyed one.
b. The cost of an old inefficient oil burner that will be replaced by a more modern and efficient one.
c. Depreciation expense.
d. Lost revenue from a bad debt. | b | Multiple Choice | Economics | University | 6 | [
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"id": "1177006",
"score": 0.19103032477924745
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"id": "1350937",
"score": 0.19044249173180422
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] |
1659522 | Evaluate {eq}\displaystyle\iint_{S} \sqrt{1+x^2+y^2} \ dS{/eq} where SS is the helicoid: {eq}\mathbf r(u,v)= u \cos v \mathbf \: i + u \sin v \: \mathbf j + v \: \mathbf k{/eq}, with {eq}0 \leq u \leq 1, \: 0 \leq v \leq 3\pi{/eq}. | 4 \pi | Integer | Mathematics | University | 6 | [
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"id": "614766",
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"score": 0.7338645317798348
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"id": "612753",
"score": 0.7140236696911371
},
{
"id": "1299969",
"score": 0.711575012628614
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] |
2052715 | Over the past year, you earned 11.9 percent overall on your investments. During that period, the inflation rate was 2.8 percent and the risk-free rate of return was 3.2 percent. What real rate of return did you earn?
A. 8.43 percent.
B. 8.75 percent.
C. 8.85 percent.
D. 9.04 percent.
E. 9.10 percent. | C | Multiple Choice | Finance | University | 6 | [
{
"id": "238486",
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"id": "1803572",
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"id": "1994957",
"score": 0.6277641938313858
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"score": 0.6203878871803999
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] |
1173090 | A farmer is producing where {eq}MC = MR
{/eq}. Say that half of the cost of producing wheat is the rental cost of land (a fixed cost) and half is the cost of labor and machines (a variable cost). If the average total cost of producing wheat is $26 and the price of wheat is $10, what would you advise the farmer to do? ... | d | Multiple Choice | Economics | University | 6 | [
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"id": "725674",
"score": 0.2550329576713078
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"id": "758450",
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164742 | How do I solve the infinite series $\sum_{i=1}^{\infty} \frac{2i}{2^i}$? | 4 | Integer | Mathematics | University | 6 | [
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"id": "1014112",
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433672 | Evaluate the definite integral (if it exists).
{eq}\displaystyle \int_{0}^{13} \frac{-3}{\sqrt[3]{(1 + 2x)^2}} \, \mathrm{d}x{/eq} | -9 | Integer | Mathematics | University | 6 | [
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1244278 | Jane has a concave utility wealth function, u(x). Which of the following statements is true?
a. Jane prefers Y to Z
b. Jane prefers Z to Y
c. Jane is indifferent between Y and Z
d. Jane's preference ranking between Y and Z cannot be determined without additional information | d | Multiple Choice | Economics | University | 6 | [
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1340072 | Museum Corporation acquired a new manufacturing building by issuing 10,000 shares of its $50 par value preferred stock with a $75 per share market price. Similar buildings have recently cost $780,000.
What are the effects of this transaction on the accounting equation for Museum?
a. Building and Preferred Stock incre... | d | Multiple Choice | Business | University | 6 | [
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1604665 | If a firm frequently changes the basis of its pay-for-performance system, it will most likely:
A) diminish its credibility gap.
B) violate its psychological contract with employees.
C) generate fear among employees due to a lack of control.
D) increase employees' intrinsic drive to perform beyond expectations. | B | Multiple Choice | Business | University | 6 | [
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"id": "1510379",
"score": 0.17301879096949174
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"score": 0.17145829062547444
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] |
682732 | A firm realizes the least cost in production if it substitutes the factors until their:
a. prices are equal.
b. marginal physical product to the factor price ratio is equal for all factor inputs.
c. marginal physical products are equal to zero.
d. marginal physical products are equal.
e. marginal physical products... | b | Multiple Choice | Economics | University | 6 | [
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"id": "1014250",
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"score": 0.3687645844843812
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"id": "1947434",
"score": 0.34586310675574666
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] |
1945 | Integrate the density directly to determine the probability that a randomly selected batch cannot be sold because of excess impurities, given that the percentage of impurities per batch in a chemical is a random variable y with density function f(y) = 12y^2(1-y) for 0 ≤ y ≤ 1 and 0 otherwise, and a batch with more than... | 0.8208 | Float | Mathematics | University | 6 | [
{
"id": "1680107",
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{
"id": "1591918",
"score": 0.21939462908937793
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{
"id": "1902022",
"score": 0.1993340352441297
},
{
"id": "969300",
"score": 0.1926197976143566
},
{
"id": "280999",
"score": 0.1855871594614446
}
] |
254140 | Which of the following guarantees full control to the producer over selling their products?
A. adopting an indirect marketing channel
B. adopting a direct marketing channel
C. adopting a traditional distribution channel
D. adopting a horizontal marketing system
E. adopting a vertical marketing system | B | Multiple Choice | Business | University | 6 | [
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"id": "1416572",
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"score": 0.1700634041598864
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{
"id": "946023",
"score": 0.14622299842380182
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] |
740537 | The following are Silver Corporation's unit costs of making and selling an item at a volume of 9,400 units per month (which represents the company's capacity):
Manufacturing:
Direct materials $ 2.10
Direct labor $ 3.10
Variable overhead $ 1.60
Fixed overhead $ 0.40
Selling and administrative:
Variable $ 3.10
Fixed $... | a | Multiple Choice | Business | University | 6 | [
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},
{
"id": "398879",
"score": 0.8218997395550526
},
{
"id": "823262",
"score": 0.6589215651608559
}
] |
1549819 | Financial reconciliations usually involve _____.
Indicate which of the below statements is incorrect.
a) Comparing one set of financial documents against another.
b) Adjusting financial reports to account for late submissions.
c) Comparing source financial documents (ie. Invoices) against financial reports/statemen... | b | Multiple Choice | Business | University | 6 | [
{
"id": "673159",
"score": 0.4120751908006561
},
{
"id": "680199",
"score": 0.2785532843932065
},
{
"id": "888856",
"score": 0.2723201833343842
},
{
"id": "1292651",
"score": 0.2639864832054033
},
{
"id": "247810",
"score": 0.25837366550171065
}
] |
905739 | I'm struggling to understand why the lower boundary of the sum has changed during the second step in the following derivation of the mean of a Poisson distribution:
$$ \langle x \rangle=\sum_{n=0}^\infty n \frac{a^n}{n!}e^{-a}=e^{-a}\sum_{n=1}^\infty \frac{a^n}{(n-1)!}=e^{-a}a\sum_{n=1}^\infty \frac{a^{n-1}}{(n-1)!}= e... | a | Expression | Mathematics | University | 6 | [
{
"id": "484074",
"score": 0.6729841453648173
},
{
"id": "1014112",
"score": 0.6540123991782207
},
{
"id": "1397645",
"score": 0.6152780380021529
},
{
"id": "2073192",
"score": 0.5543377184760917
},
{
"id": "1277404",
"score": 0.5543377184760917
}
] |
1252766 | f(x)= 2(x-1)/3 in the interval 1<x<2 and 4-x/3 in the intervals 2<x<4 and 0 otherwise. How do I find the unknown variable k if the answer is supposed to be 2, given this piecewise function in the context of continuous random variables? | 2 | Integer | Mathematics | University | 6 | [
{
"id": "1364918",
"score": 0.3298490780696316
},
{
"id": "1680107",
"score": 0.29683634994370184
},
{
"id": "646882",
"score": 0.2291083658041256
},
{
"id": "1693711",
"score": 0.22819673481491753
},
{
"id": "85573",
"score": 0.2265260988551261
}
] |
371659 | The following statements refer to community or social indifference curves.
I. These curves are usually assumed to characterize a country's tastes and wellbeing.
II. In an open economy with trade, a country's welfare is maximized when that country's indifference curve is just tangent to that country's production possi... | a | Multiple Choice | Economics | University | 6 | [
{
"id": "1844807",
"score": 0.3734265712596925
},
{
"id": "1658086",
"score": 0.35347712460597974
},
{
"id": "832769",
"score": 0.3374722265714596
},
{
"id": "1859490",
"score": 0.3286054656998059
},
{
"id": "1040854",
"score": 0.3128602393095261
}
] |
134111 | What information can be gained from sources such as RMA and Reuters?
A. Benchmarks which can be used to determine a company's relative position within its industry.
B. Elaborations of financial statement disclosures.
C. Forecast of earnings.
D. The general economic condition. | A | Multiple Choice | Business | University | 6 | [
{
"id": "602213",
"score": 0.18703014114855762
},
{
"id": "2106151",
"score": 0.16889636138982342
},
{
"id": "631264",
"score": 0.1685500153043424
},
{
"id": "480642",
"score": 0.16076169435595625
},
{
"id": "888856",
"score": 0.1542239988770696
}
] |
819162 | Which statement is true?
a) The most important influence on a firm's demand for a factor of production is the demand for the final product.
b) All of the statements are true.
c) A firm will keep hiring more and more of a resource up to the point at which its MRP is equal to its price.
d) If the MRP of the last work... | b | Multiple Choice | Economics | University | 6 | [
{
"id": "1813803",
"score": 0.31531478373369026
},
{
"id": "1418233",
"score": 0.307094784137705
},
{
"id": "811576",
"score": 0.305300943166706
},
{
"id": "850872",
"score": 0.2982752117596421
},
{
"id": "1605854",
"score": 0.2780666322889727
}
] |
993006 | What is the probability that the mean height for the sample is greater than 65 inches, given that the mean height of women in a country (ages 20-29) is 64.1 inches, a random sample of 50 women in this age group is selected, and σ = 2.52? | 0.0057 | Float | Mathematics | University | 6 | [
{
"id": "678476",
"score": 0.9250126712591665
},
{
"id": "1431562",
"score": 0.8766436161840834
},
{
"id": "1476726",
"score": 0.8237147666202511
},
{
"id": "582371",
"score": 0.7849151857143403
},
{
"id": "874027",
"score": 0.5620789237430679
}
] |
1130541 | Evaluate the following:
{eq}\Gamma \left( 3 \right)\Gamma \left( \frac{3}{2} \right)
{/eq} | \sqrt{\pi} | Expression | Mathematics | University | 6 | [
{
"id": "381812",
"score": 0.7674164978670006
},
{
"id": "1542681",
"score": 0.6220161809241033
},
{
"id": "849261",
"score": 0.6160990848187404
},
{
"id": "1032029",
"score": 0.5861134447780688
},
{
"id": "1494861",
"score": 0.5778064051598165
}
] |
1215471 | The types of renewal strategies include
A) retrenchment strategy.
B) turnaround strategy.
C) diversification strategy.
D) retrenchment and turnaround strategies.
E) None of the answer choices is correct. | D | Multiple Choice | Business | University | 6 | [
{
"id": "982629",
"score": 0.27868035146577763
},
{
"id": "529618",
"score": 0.24890366121960109
},
{
"id": "1321326",
"score": 0.23269034379787476
},
{
"id": "779897",
"score": 0.23269034379787476
},
{
"id": "852332",
"score": 0.23068913186377216
}
] |
1776332 | Firm M has a margin of 9%, turnover of 1.6, sales of $800,000, and average stockholders' equity of $360,000. Calculate Firm M's return on investment (ROI). | 14.40% | Percentage | Business | University | 6 | [
{
"id": "951414",
"score": 0.3949465095726397
},
{
"id": "260836",
"score": 0.37395563508390844
},
{
"id": "1313506",
"score": 0.3553318098184112
},
{
"id": "905480",
"score": 0.3512377317750691
},
{
"id": "1081470",
"score": 0.3428972190963553
}
] |
1585858 | Data from the caffeine metabolism experiment were pooled together using information from internal and external students across a number of years. The data collected is summarized in the table below. The genotypes are shown in the first column, and the other two show the number of genotypes in the two categories of caff... | C | Multiple Choice | Biology | University | 6 | [
{
"id": "195158",
"score": 0.27479260278685086
},
{
"id": "144716",
"score": 0.24448371827122684
},
{
"id": "873926",
"score": 0.242939179206371
},
{
"id": "846703",
"score": 0.2177194512502833
},
{
"id": "1850217",
"score": 0.21305544048820627
}
] |
2069589 | If the volatility of the interest rate decreases, the value of a callable convertible bond to an investor:
a. Decreases.
b. Increases.
c. Stays the same.
d. Insufficient information to determine. | b | Multiple Choice | Finance | University | 6 | [
{
"id": "1929363",
"score": 0.4058760149966783
},
{
"id": "666812",
"score": 0.391268153403854
},
{
"id": "1858683",
"score": 0.374106764630712
},
{
"id": "1890248",
"score": 0.3707875304367684
},
{
"id": "40591",
"score": 0.3480061983364847
}
] |
1008313 | The mean of a population is 74 and the standard deviation is 12. The shape of the population is unknown. Determine the probability of a random sample of size 32 yielding a sample mean of 76 or more. | 0.1736 | Float | Mathematics | University | 6 | [
{
"id": "136955",
"score": 0.5729078034610203
},
{
"id": "1656032",
"score": 0.5603798617588873
},
{
"id": "304669",
"score": 0.5452110806656465
},
{
"id": "1201801",
"score": 0.5425151122468923
},
{
"id": "208817",
"score": 0.5340127495100365
}
] |
518643 | A static budget is another name for the
a. financial budget.
b. operating budget.
c. strategic budget.
d. master budget. | d | Multiple Choice | Business | University | 6 | [
{
"id": "1460199",
"score": 0.8576896716694821
},
{
"id": "1276745",
"score": 0.646100148138363
},
{
"id": "187381",
"score": 0.5950910724624674
},
{
"id": "1138640",
"score": 0.519355078301859
},
{
"id": "2053767",
"score": 0.5022770337164413
}
] |
1124660 | Suppose that GDP is above full-employment GDP and inflation is above the targeted inflation rate. In that case, a possible, desirable macroeconomic policy would focus on:
a. generating a positive supply shock
b. shifting the ADE curve to the right
c. cutting taxes
d. all of the above | a | Multiple Choice | Economics | University | 6 | [
{
"id": "332761",
"score": 1.0000000000000002
},
{
"id": "1124660",
"score": 1.0000000000000002
},
{
"id": "837092",
"score": 0.3274200483353865
},
{
"id": "1574553",
"score": 0.29844126076092703
},
{
"id": "843141",
"score": 0.28067968049045594
}
] |
1333751 | X Corp. had 400,000 shares of $30 par common stock and 40,000 shares of $100 par $6 cumulative convertible preferred stock outstanding for the entire year ended Dec.31, 2010. Each share of preferred stock is convertible into 5 shares of common stock. Net Income for 2010 was $1,680,000.
For the year ending 2010, what i... | $2.80 | Float | Business | University | 6 | [
{
"id": "2105797",
"score": 0.5766821794630143
},
{
"id": "91579",
"score": 0.5643192892197535
},
{
"id": "1937242",
"score": 0.5573904991773214
},
{
"id": "753319",
"score": 0.4848460941824738
},
{
"id": "880392",
"score": 0.4679815224437614
}
] |
189135 | What term is used to describe fluctuations in data that cannot be corrected?
a. random errors
b. model errors
c. blunders
d. systematic errors | a | Multiple Choice | Physics | University | 6 | [
{
"id": "1531009",
"score": 0.5506838614463844
},
{
"id": "637546",
"score": 0.4966589637619218
},
{
"id": "1550639",
"score": 0.2706850827924503
},
{
"id": "1192685",
"score": 0.21253626058977731
},
{
"id": "1923861",
"score": 0.16635070698905147
}
] |
210084 | Dole Industries had the following inventory transactions occur during 2010:
Units Cost/unit:
Feb. 1, 2010: Purchase 54 units . . . . . $45
Mar. 14, 2010: Purchase 93 units . . . . . $47
May 1, 2010: Purchase 66 units . . . . . $49
The company sold 153 units at $63 each and has a tax rate of 30%. Assuming that ... | $2,544 | Integer | Business | University | 6 | [
{
"id": "2028936",
"score": 0.528158767801747
},
{
"id": "1123978",
"score": 0.4446361371482542
},
{
"id": "1262552",
"score": 0.4429444944364884
},
{
"id": "1809138",
"score": 0.4416615394954093
},
{
"id": "696418",
"score": 0.3958783702921247
}
] |
500076 | A manufacturer of cheese-filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravi... | A | Multiple Choice | Mathematics | University | 6 | [
{
"id": "477051",
"score": 0.31102158094902044
},
{
"id": "377391",
"score": 0.24843646107909367
},
{
"id": "584261",
"score": 0.22119680564699315
},
{
"id": "853603",
"score": 0.19548519180233115
},
{
"id": "892539",
"score": 0.1939302919697523
}
] |
674321 | If $p$ is prime and $G$ is noncyclic group of order $p^2$, prove the order of each nonindentity element of $G$ is $p$. | p | Integer | Mathematics | University | 6 | [
{
"id": "451861",
"score": 0.5439515252586254
},
{
"id": "1793112",
"score": 0.4769002705617954
},
{
"id": "2043712",
"score": 0.4016463268834208
},
{
"id": "1747725",
"score": 0.3834717218552324
},
{
"id": "1578072",
"score": 0.31904711995047275
}
] |
1268791 | The monopolistic-competition solution approximates the perfect competition solution in:
a. the long-run.
b. the short-run.
c. in both long & short runs.
d. in neither long nor short runs. | a | Multiple Choice | Economics | University | 6 | [
{
"id": "1219918",
"score": 0.48763391198590095
},
{
"id": "296132",
"score": 0.4677601199107827
},
{
"id": "1724185",
"score": 0.4660895985847072
},
{
"id": "784146",
"score": 0.4570893117605479
},
{
"id": "1982907",
"score": 0.4545797032488334
}
] |
224350 | All of the following are considered effective cash management principles except
A) Encouraging collection of receivables by offering discounts for early payments.
B) Keeping only necessary levels of assets.
C) Planning expenditures.
D) Retaining excess cash for unexpected expenditures.
E) Delaying payment of liabi... | D | Multiple Choice | Business | University | 6 | [
{
"id": "1838120",
"score": 0.3098011143926435
},
{
"id": "1714213",
"score": 0.17720280808451555
},
{
"id": "572423",
"score": 0.1661114463677032
},
{
"id": "439492",
"score": 0.15667042244484142
},
{
"id": "1739851",
"score": 0.1555601330380862
}
] |
619401 | How do you use the Trapezoidal Rule and the Simpson's Rule when n=4 when approximating the integral ∫(5t + 6) dt from [3,6]? | 85.5 | Float | Mathematics | University | 6 | [
{
"id": "305080",
"score": 0.517241113592285
},
{
"id": "1657162",
"score": 0.3976567922726907
},
{
"id": "200452",
"score": 0.3667839975009358
},
{
"id": "1454792",
"score": 0.36513369738366436
},
{
"id": "1538996",
"score": 0.3496917872254507
}
] |
1202465 | Edwin is a plant manager and is adept in framing corporate policies for hiring and training. Which of the following dimensions of intellectual ability does his skill reflect?
A. spatial visualization
B. deductive reasoning
C. inductive reasoning
D. verbal comprehension
E. perceptual speed | D | Multiple Choice | Business | University | 6 | [
{
"id": "578674",
"score": 0.9999999999999999
},
{
"id": "753763",
"score": 0.14094839090408845
},
{
"id": "847695",
"score": 0.1298813840061468
},
{
"id": "1199623",
"score": 0.11404009127757281
},
{
"id": "514915",
"score": 0.11146203112331173
}
] |
637144 | Firms with many customers that find it easier to attract new customers are most likely selling a good that has a _ externality.
a. production
b. network
c. positive
d. consumption
e. negative | b | Multiple Choice | Economics | University | 6 | [
{
"id": "1941697",
"score": 0.2844259477853408
},
{
"id": "1538319",
"score": 0.27219746928807753
},
{
"id": "1551297",
"score": 0.26514967712535714
},
{
"id": "1915475",
"score": 0.2638186068085121
},
{
"id": "979338",
"score": 0.26241413976846706
}
] |
863641 | Find the production level that will produce minimum average cost, given c(x) = 0.002x^3 + 9x + 6912. | 120 | Integer | Mathematics | University | 6 | [
{
"id": "209401",
"score": 0.4790752175564939
},
{
"id": "790453",
"score": 0.26245958155921667
},
{
"id": "1601543",
"score": 0.24542782624953285
},
{
"id": "555104",
"score": 0.2205497802314447
},
{
"id": "1976433",
"score": 0.21652908413183453
}
] |
540525 | Consider the polynomial $ f = X^4 - 3X^3 + X + 7 \in R[X]$. Calculate $ \frac{1}{2-x_1} + \frac{1}{2-x_2} + \frac{1}{2-x_3} + \frac{1}{2-x_4} $, where $x_i$ represent $f$'s roots. The official solution states that for any polynomial $ f $, $\frac{f'}{f} = \sum_{i=1}^{n} \frac{1}{X - x_i}$, where $ f' $ is the first der... | -3 | Integer | Mathematics | University | 6 | [
{
"id": "1067574",
"score": 0.6348236441838234
},
{
"id": "83200",
"score": 0.6179053699151995
},
{
"id": "651961",
"score": 0.5926016863537462
},
{
"id": "440490",
"score": 0.5770173721699187
},
{
"id": "500164",
"score": 0.5723238565156311
}
] |
406275 | A population has a mean of 75 and a standard deviation of 4.7. In a sample of 25, what is the probability of obtaining a mean of less than 72? | 0.0007 | Float | Mathematics | University | 6 | [
{
"id": "388102",
"score": 0.825410542147893
},
{
"id": "649293",
"score": 0.661033338268702
},
{
"id": "350684",
"score": 0.661033338268702
},
{
"id": "1797179",
"score": 0.5766232947980432
},
{
"id": "136955",
"score": 0.5669660252799361
}
] |
992816 | You own a portfolio equally invested in a risk-free asset and two stocks.
If one of the stocks has a beta of 1.20 and the beta of the portfolio is 1.80, what is the beta of the other? | 4.2 | Float | Finance | University | 6 | [
{
"id": "965161",
"score": 0.8618551542897939
},
{
"id": "1124407",
"score": 0.8553878362772558
},
{
"id": "773740",
"score": 0.8544628485333853
},
{
"id": "887425",
"score": 0.8520482879773783
},
{
"id": "1542497",
"score": 0.8418316654481639
}
] |
420156 | Why is the integral $$ \int_{-\infty}^{\infty}\cdots\int_{-\infty}^{\infty} \delta_\mathrm{D}\left(\sum_{i=1}^M f_i - 1\right)\prod_{i=1}^M \Theta(f_i) \,\mathrm{d}f_i $$ equal to $(M-1)!$? Is the first integral over $f_M$ just the integral of a delta function of $f_M$ plus some constants, equaling $1$? How do the rema... | C = (M-1)! | Integer | Mathematics | University | 6 | [
{
"id": "234361",
"score": 0.3816825958424828
},
{
"id": "80124",
"score": 0.3777362664549079
},
{
"id": "2043000",
"score": 0.36335918722802774
},
{
"id": "92706",
"score": 0.34130291797081513
},
{
"id": "578850",
"score": 0.3374455572665748
}
] |
666812 | Empirical studies show that with economic growth, inequality does what, and absolute poverty does what?
a. decreases; decreases
b. increases; decreases
c. change is unknown; decreases
d. increases; increases | b | Multiple Choice | Economics | University | 6 | [
{
"id": "1929363",
"score": 0.6192315999663894
},
{
"id": "1858683",
"score": 0.5671820731797559
},
{
"id": "1890248",
"score": 0.5656523913463554
},
{
"id": "202040",
"score": 0.5487533307734056
},
{
"id": "529617",
"score": 0.5217360598245075
}
] |
776247 | When the exchange rate between the U.S. dollar and the euro changes from 1.30 euros per dollar to 1.00 euro per dollar, the dollar has _____ and U.S. goods have become _____ to people in Europe so that quantity of U.S. dollars demanded _____.
A. appreciated; more expensive; decreases
B. depreciated; more expensive; d... | C | Multiple Choice | Economics | University | 6 | [
{
"id": "1890248",
"score": 0.40847771998868854
},
{
"id": "1930082",
"score": 0.3761840678713183
},
{
"id": "1409672",
"score": 0.3630988264305072
},
{
"id": "1929363",
"score": 0.3421117696333864
},
{
"id": "1590042",
"score": 0.31495026532436743
}
] |
140598 | Fink Insurance collected premiums of $17,200,000 from its customers during the current year. The adjusted balance in the Deferred premiums accounts increased from $5.0 million to $9.7 million dollars during the year. What is Fink's revenue from insurance premiums recognized for the current year?
a. $21,900,000.
b. $1... | B | Multiple Choice | Business | University | 6 | [
{
"id": "1400324",
"score": 0.34806405229359016
},
{
"id": "937731",
"score": 0.3080143988872652
},
{
"id": "1212497",
"score": 0.29924356915828537
},
{
"id": "1945905",
"score": 0.29762453623572593
},
{
"id": "83123",
"score": 0.294625460365446
}
] |
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