id string | problem string | answer string | answer_type string | category string | difficulty string | eval_score int64 | similar_problems list |
|---|---|---|---|---|---|---|---|
null | Evaluate the definite integral using the Fundamental Theorem of Calculus, if it applies: {eq}\int_{-3}^{7} \left ( \dfrac{6}{x-1} \right ) \: dx{/eq}. | 6ln(3/2) | null | null | null | null | null |
null | Dishwater's Delights plows back 69.0% of its earnings to take on projects which earn the firm a rate of return of 15%. The stockholders require a return of 11.5% on their common stock and earnings per share are expected to be $3.00 by next year. What is the present value of growth opportunities for Dishwater's Delights... | None | null | null | null | null | null |
null | Find the largest $m$ such that $n!$ is divisible by $m!$. For example, when $n=5$, the largest $m$ is $3$, because $5! = 60$ is divisible by $3!=6$. Given that $n!=k\cdot m!$ where $k\in \mathbb{Z}$, prove or disprove that the largest $m$ is $n-\lfloor\log_{2}(n+1)\rfloor$. Test your formula for $n\in \{2,3,4,5,6,7,8,9... | None | null | null | null | null | null |
null | You are planning to save for retirement over the next 25 years. To do this, you will invest $450 a month in a stock account and $200 a month in a bond account. The return on the stock account is expected to be an 8 percent nominal rate and the bond account will pay 2 percent. When you retire, you will combine your mone... | None | null | null | null | null | null |
null | If {eq}u = x^4y + y^2z^3{/eq}, where {eq}x = re^t, y = rs^2e^{-t} {/eq} and {eq}z = r^2s\sin (t){/eq}, find the value of {eq}\frac{\partial u}{\partial s}{/eq} when r=2, s=1, t=0. | None | null | null | null | null | null |
null | An annuity has an initial payment of $20,000 and makes annual payments of $50,000 at the end of years 1 through 5. The firm uses a 3% discount rate to calculate the present value of the annuity. Which of the following results is correct?
A) $181,431
B) $259,641
C) $286,231
D) $311,811 | None | null | null | null | null | null |
null | A charge of +0.4 mC is at {eq}(-3,\ 0) {/eq} meters and a charge of +0.9 mC is at (+1, 0) meters. Where on the x-axis is the total magnitude of the E-field equal to {eq}\rm 4 \times 10^6\ N/C {/eq}?
a. -4.00 m, -2.136 m, -0.34 m, 2.45 m.
b. -2.665 m, 27 m.
c. -4.55 m, 2.45 m, -2.445 m, -1.22 m.
d. -4.00 m, 2.45 m.
e. -... | d | null | null | null | null | null |
null | A mixture of monatomic and diatomic gases has a specific heat ratio of y = 1.52. What fraction of its molecules are monotonic? | None | null | null | null | null | null |
null | I want to estimate the maximum of $\int_C e^z dz$, where $C$ is the triangle with vertices $1,2,2i$. I have reduced the problem to solving the maximum of $|1+e^{x+yi}+e^{2+2i(y-1)}|$. I reduced the integral to solving the maximum of $e^x|1+e^{yi}+e^{2+2i(y-1)}|$ and then I reduced it to $e^x|1+cos(y)+isin(y)+e^2(cos(2y... | None | null | null | null | null | null |
null | What will be the output of the program? #include<stdio.h> #define MAN(X, Y) ((X)>(Y)) ? (X):(Y); int main() { int i=10, j=5, k=0; k = MAN(++i, j++); printf("%d, %d, %d\n", i, j, k); return 0; } Options are: a) 11, 6, 11 b) 12, 6, 11 c) 12, 6, 12 d) 11, 6, 12 | None | null | null | null | null | null |
null | Let $u=a+b$ and $v=a-b$. Then, \begin{align*}(a+b)^{2016}+(a-b)^{2017} &=u^{2016}+v^{2017} \equiv u^{2016}+(-1)^{2017}v^{2017} \pmod {a+b+a-b} \\ &\equiv u^{2016}-v^{2017}\pmod {2a}.\end{align*} Since $a$ is odd, we can write $a=2k+1$ for some integer $k$, so $2a=4k+2$. Thus, $u^{2016}+(-1)^{2017}v^{2017}\equiv u^{2016... | None | null | null | null | null | null |
null | Find the triple integral of f(x, y, z) = 5x^2 over the rectangular box D, where D is given by 0 ≤ x ≤ 1, 1 ≤ y ≤ 4, 1 ≤ z ≤ 4. | None | null | null | null | null | null |
null | If the trend noted in the ICCO report continues and Century Chocolate plans to maintain constant or increasing inventory quantities, the most likely impact on Century Chocolate's financial statements related to its raw materials inventory will be?
A. a cost of sales that more closely reflects current replacement value... | C | null | null | null | null | null |
null | Babaloo Corporation has 5,000 shares of stock outstanding. Desi owns 2,000. The rest are owned by unrelated individuals. Babaloo redeems 1,000 shares for $300,000 at a time when it has paid-in capital of $400,000 and E & P of $1.0 million. What would be the charge to Babaloo's E & P as a result of the redemption?
a.) ... | None | null | null | null | null | null |
null | Consider a standard Cournot duopoly with a standard linear demand. Each firm has constant marginal cost, with firm 1 having higher marginal cost than firm 2. At the Cournot Nash equilibrium, what is the relation between the prices charged by the two firms? | None | null | null | null | null | null |
null | Caper Inc is considering a project that will produce cash inflows of $245,000 a year for three years followed by $165,000 in year four. What is the internal rate of return if the initial cost of the project is $565,000? | None | null | null | null | null | null |
null | Is $(1,2)$ a maximum or minimum point of $f(x,y)=3x^2+3y^2-12y-6x+27$? Are there other critical points within the triangle with vertices $(0,0), (0,3), (3,3)$, possibly found using Lagrange multipliers? | None | null | null | null | null | null |
null | Gates, Inc. traded in an old truck for a new one. The old truck had a cost of $125,000 and accumulated depreciation of $62,500. The new truck had an invoice price of $110,000. Gates was given a $52,500 trade-in allowance on the old truck, which meant that they paid the dealer $57,500 cash to acquire the new truck.
Wha... | None | null | null | null | null | null |
null | A government bond with a coupon rate of 6% makes semiannual coupon payments on January 13 and July 13 of each year The Wall Street Journal reports the asked price for the bond on January 28 at 100:13.
What is the invoice price of the bond? The coupon period has 182 days. (Round your answer to 2 decimal places. Omit th... | 100.65 | null | null | null | null | null |
null | Ace Manufacturing Company has a target capital structure of 55% equity and 45% debt. Its cost of equity is 20%, and the cost of debt is 8%. The relevant tax rate is 30%.
a. What is the company's WACC? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) | None | null | null | null | null | null |
null | Compared to the contribution margin ratio under variable costing, the manufacturing margin ratio under absorption costing:
a. is lower when production equals sales.
b. is higher when production equals sales.
c. will always be negative.
d. is lower when production exceeds sales.
e. is higher when production is less... | None | null | null | null | null | null |
null | Assume that the contractionary gap in Canada is 7 percent, while frictional unemployment and structural unemployment remain at 2 percent and 4 percent respectively. If Okun's law coefficient is 2, then the unemployment rate is __________ percent. | None | null | null | null | null | null |
null | The current in a wire is 0.562 A. How many units of charge flow past a given cross section of the wire per minute? | None | null | null | null | null | null |
null | How much would $5,000 due in 25 years be worth today if the discount rate were 5.5%?
A. $1,067.95
B. $1,124.16
C. $1,183.33
D. $1,245.61
E. $1,311.17 | None | null | null | null | null | null |
null | If the government imposed a direct price regulation that did not allow a natural monopoly with constant marginal cost to charge a price higher than under perfect competition:
a. the regulation would fail to eliminate all of the monopolist's market power.
b. the regulation could cause the firm to shut down production.... | c | null | null | null | null | null |
null | A manufacturing company's ending inventory is 100 units. The company's selling price is $50 per unit. If the manufacturing cost per unit is $30 and the target profit per unit is $10, what is the amount of unrealized profit under full costing?
a. $0
b. $2,000
c. $5,000
d. $3,000 | None | null | null | null | null | null |
null | A customer has a margin account with a debit balance of $16,000 and $6,000 of SMM.
How much may the customer sell short:
a. $6,000
b. $10,000
c. $16,000
d. $22,000 | None | null | null | null | null | null |
null | What are the implications for the insurance industry?
a. insurability will be difficult to determine.
b. there may be an increase in demand for insurance.
c. the ability of insurance companies to charge lower premiums will be impaired.
d. insurance companies will not be able to offer different rates for different c... | None | null | null | null | null | null |
null | Calculate the producer surplus at the market equilibrium point, given the supply function {eq}p = 0.4q + 16{/eq} and the demand function {eq}p = -0.2q + 40{/eq}. | None | null | null | null | null | null |
null | Show that the series $\sum_{n=1}^{\infty} \frac{2^n}{(n+1)^n}$ converges using the root test, given that the $n$-th root of the series is $\frac{2}{n+1}$ and the limit as $n$ approaches infinity is 0, which is less than 1. | None | null | null | null | null | null |
null | A researcher would like to estimate {eq}p {/eq}, the proportion of U.S. adults who support raising the federal minimum wage. If the researcher would like to be 95% sure that the obtained sample proportion would be within 2.4% of {eq}p {/eq} (the proportion in the entire population of U.S. adults), what sample size shou... | 1667 | null | null | null | null | null |
null | Urbana Corporation has 400,000 shares of stock outstanding. Jorge owns 50,000. The rest are owned by unrelated individuals. Urbana redeems 10,000 shares for $1 million at a time when it has $2 million of paid-in capital and $5 million of E & P. The corporation will use the cash received from the stock redemption to pay... | None | null | null | null | null | null |
null | You are offered $100,000 for cash today or $25,000 per year for the next five years. You decide to take the $100,000 today based on the following factors: (1) you can earn 6% on your money; (2) you are not an optimist, so you think 6% is a good estimate of the return; and (3) you like $100,000 today more than you like ... | None | null | null | null | null | null |
null | Which of the following scenarios would most likely result in a decrease in price?
a) A decrease in demand and an increase in supply
b) A decrease in both demand and supply
c) An increase in demand and a decrease in supply
d) An increase in both demand and supply | None | null | null | null | null | null |
null | $a_n = n / (n + 5)$ For the inequality $|n/(n+5)| < \epsilon$, I am considering multiplying both sides by $(n+5)$, but since $n > 0$, we know that $(n+5) > 0$ as well. This means the inequality sign stays the same, giving $n < n\epsilon + 5\epsilon$. I'm unsure how to proceed from here or if this is even the right path... | None | null | null | null | null | null |
null | S.S. Corp. leased equipment from S.S. Leasing on January 1, 2018. The lease term is for the 10-year period expiring on December 31, 2027. The useful life of the leased asset is 10 years. The cost of the asset is $440,000, and the fair value is $495,000. The lease has an implicit annual interest rate of 6%.
What amount... | None | null | null | null | null | null |
null | Grind Co. is considering replacing an existing machine. The new machine is expected to reduce labor costs by $88,000 per year for 5 years. Depreciation on the new machine is $58,000 compared with $44,000 on the old machine. In addition, inventory will increase from $250,000 to $322,000 until the end of the project. The... | $65,800 | null | null | null | null | null |
null | An epidemiologist is charged with determining if a new rate of disease in a population is different from that of the past. Which type of epidemiology does this best relate to?
a. biostatistics
b. clinical
c. forensic
d. descriptive
e. analytic | None | null | null | null | null | null |
null | Oxford Company manufactures and sells a single product. The company uses variable costing and has provided the following data:
Manufacturing Costs:
Fixed manufacturing overhead is $30,500 per year.
Direct labor costs $20.30 per unit.
Direct materials cost $15.90 per unit.
Variable selling and administrative expens... | None | null | null | null | null | null |
null | Two samples each have n= 4 scores. If the first sample has a variance of 10 and the second sample has a variance of 6, what is the estimated standard error for the sample mean difference?
a. 2.00
b. 2.22
c. 4.00
d. 4.44 | None | null | null | null | null | null |
null | A nine-year bond pays 4% annual interest and has a market price of $750. The bond has a par value of $1,000. If the bond pays interest semiannually, what is the annual nominal yield to maturity on the bond?
a. 8.25%
b. 8.24%
c. 7.80%
d. 8.28%
e. 8.32% | None | null | null | null | null | null |
null | Susan operates in a perfectly competitive market. Her wage rate is $15.00 per hour, and the price of the output she produces is $2.50. She produces 5,000 units of output per week. In the short run, at her current rate of output, she can avoid paying wages of $7,500 per week by shutting down production.
What is the min... | None | null | null | null | null | null |
null | Claim Denied Insurance Company has a beta of {eq}1.2
{/eq}. Assume that the risk-free rate of return is {eq}5 \%
{/eq} and the market risk premium is {eq}6 \%
{/eq}. What is the expected return on the overall stock market? | 11.0% | null | null | null | null | null |
null | Periodically, a customer's reorder point (ROP) is checked on the inventory level of the item in stock. At time of a ROP check, if there are insufficient stock to satisfy demand, a fixed cost (set-up cost) to place an order is incurred. This order is then filled in the amount necessary to restore inventory levels to a t... | None | null | null | null | null | null |
null | Long, long ago, on a planet far, far away, a physics experiment was carried out. First, a 0.250-kg ball with zero net charge was dropped from rest at a height of 1.00 m. The ball landed 0.400 s later. Next, the ball was given a net charge of 7.65 {eq}\mu
{/eq}C and dropped in the same way from the same height. This ti... | None | null | null | null | null | null |
null | A foreign exchange trader is long 350,000 euros and wishes to hedge this exposure using an appropriately structured forward contract. The trader's initial margin is 125,000 euros and the maintenance margin is 80,000 euros. The spot price of the euro is 0.95 dollars per euro and the forward price for a three-month forwa... | None | null | null | null | null | null |
null | The price elasticity of demand along the length of a straight-line demand curve is:
A) the same at each point.
B) more elastic at the beginning.
C) more elastic at the end.
D) less elastic at the end.
E) not determinable from a straight-line demand curve. | None | null | null | null | null | null |
null | At the end of 2012, Felde company estimated that 3% of its accounts receivable of $162,000 will be uncollectible. On January 21, 2013, a customer account of $1,200 was written off as uncollectible.
On May 13, 2013, the customer paid the entire amount of the account.
In June 2013, before any adjusting entries were mad... | None | null | null | null | null | null |
null | The correct hypotheses in this problem are:
a. Ho: p = 0.28 Ha: p > 0.28
b. Ho: p > 0.28 Ha: p = 0.28
c. Ho: p ≠ 0.28 Ha: p = 0.28
d. Ho: p = 0.28 Ha: p ≠ 0.28
e. Ho: p = 0.28 Ha: p < 0.28
f. Ho: p < 0.28 Ha: p = 0.28 | d | null | null | null | null | null |
null | Given that $\vec{a}$, $\vec{b}$, and $\vec{a} + \vec{b}$ are unit vectors, and the angle between $\vec{a}$ and $\vec{b}$ is $\theta$, find $\cos{\theta}$. | None | null | null | null | null | null |
null | Airborne Airlines must raise $55 million in new capital. The company will sell new equity and debt.
Selling new equity will have a flotation cost equal to 8% of the amount of the issue.
Selling new debt will have an average flotation cost of 4%. What is the company's total weighted average flotation cost, assuming it... | None | null | null | null | null | null |
null | ABC Company's marginal tax rate is {eq}35 \%
{/eq}. The after-tax cost of debt is {eq}4.2 \%
{/eq} and the cost of equity is {eq}8.1 \%
{/eq}. The company's target capital structure consists of {eq}35 \%
{/eq} debt and {eq}65 \%
{/eq} equity. Calculate the company's weighted average cost of capital (WACC). (Round ... | None | null | null | null | null | null |
null | ABC Company made the following deposit on Jan.1, 2012.
$1,000, 6%, 10 year bond @ 95.540
On Dec.31, 2012 (the end of the first year) the entry to record the adjusting entry required at December 31 would include which of the following?
A. a debit to investments of $49,560
B. a debit to interest income of $51,340
C.... | None | null | null | null | null | null |
null | An investor purchases a 182-day T-bill with a $10,000 par value for $9,699. If the Treasury bill is held to maturity, what is the annualized yield? (Assume a 365-day year.)
A) 1.87%
B) 6.28%
C) 1.25%
D) 0.94% | None | null | null | null | null | null |
null | If a stock is expected to pay a dividend of $40 for the current year, what is the approximate present value of this stock given a discount rate of 5% and a dividend growth rate of 3%? | $2000 | null | null | null | null | null |
null | The xy-plane contains a thin, positive sheet of charge with charge density {eq}\sigma = +3\ \mu C/m^2
{/eq} (this is the surface charge density). The z-axis is along the thickness of the sheet. The plate extends a long way in the x-direction, and much further in the y-direction. What is the electric field in the xy-pl... | None | null | null | null | null | null |
null | The owner of a professional baseball team is asked to consider relocating the franchise and opening a professional football team in the same city. The cost of constructing the stadium would be $600 million, with only $100 million from a private source. It would cost $150 million per year to operate the baseball franchi... | None | null | null | null | null | null |
null | The Cost of goods available for sale was $688,400 and the Cost of goods sold was $645,300. The ending inventory was 20% complete as to direct labor and 10% complete as to overhead (based on direct labor, since direct labor was greater).
How much is the cost of the 20% complete ending inventory? | None | null | null | null | null | null |
null | Two point charges {eq}q_1
{/eq} = 1.30 nC and {eq}q_2
{/eq} = 2.10 nC are 0.100 m apart. At what point between them is the electric field zero if they are both positive charges? Express your answer in centimeters from {eq}q_1
{/eq}. | None | null | null | null | null | null |
null | Assume that the COMPANY Company normally sells 77,000,000 units and is considering a price cut from $5.50 to $4.25 on its product. The unit variable cost of the product is $3.25. At the same time, COMPANY plans to increase advertising by $15,000,000.
How much must sales increase in units in order for COMPANY to break ... | None | null | null | null | null | null |
null | Which is not an approach to measuring creativity?
a. linguistic
b. case study
c. psychometric
d. cognitive | a | null | null | null | null | null |
null | Assume the spot exchange rate is $1.95/euro and the three-month forward exchange rate is $1.90/euro. Which of the following statements is true?
A. The forward exchange rate implies that the euro is expected to depreciate by about 2.57% over the next three months
B. The forward exchange rate implies that the euro is e... | None | null | null | null | null | null |
null | Allen & Vane Company pays its direct labor employees $10 per hour. During January, the company worked 20,000 hours and incurred the following costs: indirect materials $50,000; indirect labor $60,000; and depreciation of factory equipment $20,000. The total factory overhead allocated to jobs during January was $100,000... | None | null | null | null | null | null |
null | The Mendoza Corporation has 10,000 bonds outstanding that pay an annual 6 percent coupon. The bonds have a par value of $1,000 each and mature in 20 years. The current rate of return on these bonds is 8.5 percent. The company's preferred stock has a par value of $100 per share and currently sells for $70 per share. The... | None | null | null | null | null | null |
null | Daily demand for a product is 60 units with a standard deviation of 10 units. The review period is 10 days, and lead time is 2 days. At the time of review, there are 100 units in stock. If 98 percent service probability is desired, how many units should be ordered? | None | null | null | null | null | null |
null | Silas Fitness Center is considering an investment in some additional weight training equipment. The equipment has an estimated useful life of 10 years with no salvage value at the end of the 10 years. Sage's discount rate is 12%.
The net present value of this investment is a negative $3,371. Given this information, th... | None | null | null | null | null | null |
null | Weatherall Enterprises has no debt or preferred stock it is an all-equity firm and has a beta of 2.0. The chief financial officer is evaluating a project with an expected return of 14%, before any risk adjustment. The risk-free rate is 5%, and the market risk premium is 4%. The project being evaluated is riskier than a... | c | null | null | null | null | null |
null | A project has a discounted payback period that is equal to the required payback period.
Given this, which of the following statements must be true?
a. The project must have zero net present value.
b. The project will still be acceptable if the discount rate is increased.
c. The project will not be accepted under th... | None | null | null | null | null | null |
null | A spherical tank 21 feet in diameter is full of water. How much work does it take to pump the water to the level of the top of the tank? | None | null | null | null | null | null |
null | Your firm, which is currently an all-equity firm, plans to borrow $25 million of long-term debt with a coupon rate of 9% and to repurchase $25 million of stock. The repurchase is expected to have no effect on the firm's operating income. Your firm's stock price is $25 per share, and there are 1 million shares outstandi... | None | null | null | null | null | null |
null | Under absorption costing, variable cost is _____.
A. added back to net income each time inventory increases during the period.
B. added back to net income each time inventory decreases during the period.
C. deducted from net income each time inventory increases during the period.
D. none of the above | None | null | null | null | null | null |
null | Suppose the government limits the number of workers who can emigrate from the home country to the foreign country in a given year. If the elasticity of demand for labor in the foreign country is 0.2, and the elasticity of supply of labor in the home country is 0.8, then the equilibrium wage will:
a) increase in both t... | None | null | null | null | null | null |
null | Evaluate the double integral {eq}\iint_D 6xy \,dA{/eq}, where {eq}D{/eq} is the triangular region with vertices (0,0), (1,2) and (0,3) | 5.25 | null | null | null | null | null |
null | During the year, UF was paid $150,000 by a former partner to value their interest in the firm. The adjusting entry at year-end would include a:
A. debit to Cash for $150,000.
B. debit to Unrealized Loss on Investment of $150,000.
C. credit to Building for $150,000.
D. credit to Deposit with Custodian for $150,000. | None | null | null | null | null | null |
null | The following items would appear on a cash flow statement
-Net income
-Depreciation expense
-Net cash flow from operations
-Net increase (decrease) in cash
-Current assets
-Current liabilities
Identify which items would appear on the:
(1)Statement of cash flows
(2)Income statement
(3)Balance sheet | None | null | null | null | null | null |
null | What is the average power required to charge a {eq}1.0 F
{/eq} capacitor in series with a {eq}25 \Omega
{/eq} resistor to {eq}9.0 V
{/eq} in {eq}5.0 s
{/eq}? | None | null | null | null | null | null |
null | A business combined with another company and obtained all of the target company's net assets and operations. The combined company recorded sales revenue of $3.5 million and cost of goods sold of $2.5 million in the first year after the combination. The target company reported sales revenue of $1.8 million and cost of g... | None | null | null | null | null | null |
null | Evaluate {eq}I=\int_{\Gamma}xdy-ydx{/eq} along the curve {eq}x=\cos t,\;y=\sin t,\;0\leq t \leq \pi{/eq} | None | null | null | null | null | null |
null | Find the centroid of the region bounded by the curves y = x^3, x + y = 2, y = 0. | (52/45, 20/63) | null | null | null | null | null |
null | A country has decided to expand the number of slots at the country's only open-air (indoor) hockey arena.
This will cause:
a. A decrease in the country's supply of hockey game tickets.
b. An increase in the country's supply of hockey game tickets.
c. An increase in the country's demand for hockey game tickets.
d. ... | None | null | null | null | null | null |
null | Two out-of-phase radio antennas at x = 300 m on the x-axis are emitting 3.0-MHz radio waves. Is the point (x,y) = (300 m, 800 m) a point of maximum constructive interference, perfect destructive interference, or something in between? | None | null | null | null | null | null |
null | Patmos Manufacturing is considering investing in a new machine. It will cost $45,000 and has a 15 year life. The machine will be depreciated straight line to zero over its life. The machine is expected to operate for all 15 years. It will require an initial investment in net working capital of $4,000, all of which will... | None | null | null | null | null | null |
null | An asset was purchased for $55,000. Its estimated useful life was 6 years and the salvage value was estimated to be $3,000. If the asset is sold for $45,000 at the end of year 4, there will be a gain on sale of:
a. $34,286
b. $36,000
c. $10,800
d. $6,714 | None | null | null | null | null | null |
null | Which of the following is an example of fiscal policy?
A. Federal Reserve reduces the interest rate offered on bank deposits.
B. Federal Reserve offers new loans to local banks to increase their reserves.
C. Congress increases the income tax rate.
D. The government reduces transfer payments to the poor. | None | null | null | null | null | null |
null | Suppose that X is uniform (-2,3) and let Y= |X - 1|. Find the density function of Y. | 0.4 | null | null | null | null | null |
null | Franklin Equine Supplies earned $76,000 in 2007 and paid dividends of $46,600. The firm had equity of $170,000 at the beginning of the year and total assets of $205,000 at year-end. During the year, the company sold no new equity. What is the sustainable growth rate? | None | null | null | null | null | null |
null | What is the mode of the beta distribution? | None | null | null | null | null | null |
null | Evaluate the surface integral {eq}\int \int_s F\cdot dS{/eq} for the vector field {eq}F=4zi+3j-4y^2xk{/eq} and the positively oriented surface {eq}S{/eq}, which consists of the paraboloid {eq}y=x^2+y^2, 0 \leq y \leq 9{/eq} and the disk {eq}x^2+y^2=9, y=9{/eq}. | None | null | null | null | null | null |
null | There are two alternatives being considered. The cash flow estimates for each are shown below:
Year
Project 1
Project 2
0
-$2,000
-$5,000
1
1,500
1,500
2
1,500
1,500
3
1,500
1,500
4
1,500
1,500
... | None | null | null | null | null | null |
null | Consider a two-period economy with production (per person) given by {eq}Y= K^{\frac{1}{2}}L^{\frac{1}{2}}
{/eq}, where K is physical capital and L is labor (both K and L are per person). Currently, {eq}K_0 = 9
{/eq} and L is equal to 100 in both periods. In period 0, the government issues 10 units of bonds that are p... | None | null | null | null | null | null |
null | An increase in government spending in the open economy goods market model leads to:
a. an upward shift in the demand for domestic goods, an increase in output, and a decrease in net exportsb. an upward shift in the demand for domestic goods, an increase in output, an upward shift in the net exports relationship, and a... | a | null | null | null | null | null |
null | Determine whether the point (1, -1) is a relative maximum, a relative minimum, a saddle point, or none of these for the function \( f(x, y) = x^4 + y^2 - 2x^2 - 2y + 5 \). | None | null | null | null | null | null |
null | Use L'Hopital's Rule to evaluate {eq}\lim_{x\rightarrow \infty}\frac{\ln (6x+1)}{\ln (5x+4)} {/eq}. | None | null | null | null | null | null |
null | Consider a firm with a production function {eq}f (L,K) = L^{0.5}K^{0.5}
{/eq}. Let {eq}w
{/eq} denote the price of labor and let {eq}r
{/eq} denote the price of capital. The cost of input is given by:
(A) {eq}wL + rK
{/eq}
(B) {eq}wK + rL
{/eq}
(C) {eq}w^{0.5}r^{0.5}(L + K)
{/eq}
(D) {eq}w^{0.5}K + r^{0.5}L
... | None | null | null | null | null | null |
null | For a particular country, average real GDP per capita in 1955 was $4,200. By 2005, it was $15,200. Which of the following statements is correct?
a. This country's real GDP in 2005 must be more than three times its real GDP in 1955.
b. This country's real GDP per capita in 2005 must be more than three times its real G... | None | null | null | null | null | null |
null | Candle Co. signed a 10-year noncancelable lease on January 1, 2014. The lease requires annual payments of $36,000.00 to be due on December 31. The interest rate implicit in the lease is 9% and the rate for which an alternate rate can be obtained on a direct financing basis is 12%. The equipment has an economic life of ... | None | null | null | null | null | null |
null | Which group of policies aims at discouraging rivals from starting a price war?
a) -Price matching and randomized pricing
b) -Price matching, brand loyalty, and commodity bundling
c) -Randomized pricing, price discrimination, and cross-subsidization
d) -Peak-peak pricing, two-part pricing, and price matching | a | null | null | null | null | null |
null | Merton Enterprises has bonds on the market making annual payments, with 15 years to maturity, and selling for {eq}\$1,048.36
{/eq} at this price the bonds yield {eq}6.48 \%
{/eq}. What must the coupon rate be on Merton's bonds? | None | null | null | null | null | null |
null | The value of a share of stock is equal to:
a. the sum of the periodic dividends divided by the expected capital gain on the stock.
b. the expected capital gain on the stock.
c. the periodic dividend on the stock.
d. the sum of the periodic dividends.
e. the sum of the periodic dividends divided by the expected sto... | None | null | null | null | null | null |
null | What is the minimum return on investment when the after-tax cash flows for a project are $14,000, $16,000, and $17,000 for Years 1 through 3 respectively, and the initial outlay is $50,000? | None | null | null | null | null | null |
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