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For many years, Simon Corporation used the straight-line method for its income tax purposes. However, in 2016, the company decided to use accelerated depreciation for income tax purposes. Simon is not entitled to any carryback or carryforward of its income taxes. If Simon follows GAAP for reporting its financial statem...
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Compute the integral using the partial-fraction decomposition of the integrand: {eq}\int\frac{x^2}{(x-1)(x+2)^2} dx{/eq}
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The Athletic Company's, 2015 income statement lists the following income and expenses: EBIT=$900,000; interest expense=$75,000; and taxes=$175,000. The firm has no preferred stock outstanding and 400,000 shares of common stock outstanding. Calculate the 2015 earnings per share.
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Evaluate the integral or state that it diverges. {eq}\displaystyle \int_{-5}^{10} \dfrac 1 {(x - 6)^{\dfrac 3 2}}\ dx {/eq}
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I'm trying to find the volume of the solid generated by revolving the region bounded by $y=2\cos(x)$, $x=0$, and $y=0$ about the y-axis. I used the disk method, setting up the integral $\int_0^2 π \cdot [\arccos(\frac{y}{2})]^2 \;dy$. I calculated the integral using $\int \arccos(x) = x \cdot \arccos(x)-\sqrt{1-x^2}$ a...
7.17
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Addison Company manufactures two products, Regular and Supreme. Addison's overhead is RegularSupreme Direct labor hours 10,00015,000 Machine hours 10,00030,000 Number of parts90,000160,000 Overhead applied to Supreme using activity-based costing is: a. $2,250,000. b. $1,075,000. c. $2,675,000. d. $1,500,000.
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Dorton Enterprises recently paid a dividend, D0, of $1.56. It expects to have non-constant growth of 10% for 2 years followed by a constant rate of 3% thereafter. The firm's required return is 12%. What is the firm's intrinsic value today?
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A {eq}4.00 {/eq}-cm-wide diffraction grating has 2,000 slits. What is the slit separation? Express your answer to two significant figures and include the appropriate units.
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Hitee Company's manager is considering the purchase of equipment that would cost $54,250 and would have a useful life of 5 years. The machine would have no salvage value. The machine would reduce labor and other operating costs by $12,900 per year. The internal rate of return on the investment in the new machine is clo...
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George Yoo is considering an investment opportunity with the following cash flows: Year 1: -$1,800 Year 2: $2,600 Year 3: $3,300 Year 4: $2,200 Year 5: $1,200 George's cost of capital is 11%. Based on the IRR rule, he should: a. reject the opportunity because the IRR < 11% b. reject the opportunity because the ...
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What are the points of inflection, if any, of #f(x) =(x+4)/(x-2)^2#?
x=-16
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$$\lim_{x\rightarrow\infty}\frac{(x+10)^{10}}{e^{x-1}}$$
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You have a loan outstanding. It requires making four annual payments of $1,000 each of the end of the next four years. Your bank has offered to let you skip making the next four payments, and in lieu of these payments, make one large payment in four years. If the interest rate on the loan is 7%, what final payment will...
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A system undergoes a two-step process. In step 1, it expands adiabatically from {eq}\rm 1.00\ L {/eq} to {eq}\rm 2.56\ L {/eq} at {eq}\rm 1.00\ atm {/eq} external pressure. In step 2, it releases {eq}\rm 73\ J {/eq} of heat at {eq}\rm 1.00\ atm {/eq} as it returns to the original internal energy. Find the fin...
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Harris Fabrics computes its plantwide predetermined overhead rate annually on the basis of direct labor-hours. At the beginning of the year, it was estimated that 38,000 direct labor-hours would be required for the period's estimated level of production. The company also estimated $453,000 of fixed manufacturing overhe...
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Which of the following statements is true? A) If the p-value is less than or equal to the significance level, we fail to reject the null hypothesis. B) If the p-value is greater than the significance level, we reject the null hypothesis. C) If the p-value is less than or equal to the significance level, we reject th...
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A machine now in use was purchased four years ago at a cost of $20,000. It has a book value of $6,246. It can be sold for $7,000, but could be used for three more years, at the end of which time it would have no salvage value. What is the current amount of economic depreciation for this asset?
$13,000
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In the case of the profit-maximizing monopolist, which of the following relationships holds? a. MR = MC = price b. MR > MC = price c. MR = MC > price d. MR < MC < price
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Is the following approach valid to determine the number of 4 by 4 binary matrices with odd determinant: Define an equivalence relation ~ on the set of 4 by 4 binary matrices such that A~B if and only if A-B is a matrix in which all entries are even numbers. Then there are only 10 equivalence classes and in each of the ...
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If $a,b>0$ , then what is the minimum value of $$\frac{a^2}{b^2}+\frac{b^2}{a^2}+\frac{a^2}{a^2+b^2}+\frac{b^2}{a^2+b^2}$$ ?
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Suetada Co. wants to issue new 20-year bonds for some much-needed expansion projects. The company currently has 6% coupon bonds on the market that sell for $1,031, make semiannual payments, and mature in 20 years. What coupon rate should the company set on its new bonds if it wants them to sell at par?
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Two +0.15 C charges form an equilateral triangle 1.0 m on a side. Using energy supplied at the rate of 0.50 kW, how many days would be required to move one of the charges to the midpoint of the line joining the other two charges?
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A one-period par bond has a price of {eq}\$100 {/eq}, par value of {eq}\$100 {/eq}, and coupon of {eq}\$6 {/eq}. A two-period par bond has a price of {eq}\$100 {/eq}, par value of {eq}\$100 {/eq}, and coupon of {eq}\$8 {/eq}. What is the two-period spot interest rate?
8%
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Find the flux of $\vec{F}=(2y,-2x,x^{2})$ through the surface given by $z=y^{2}+3$, $x\in[0,2],\;\;y\in[0,1]$ where the normal vector points in the direction of the positive $z$-axis.
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Use polar coordinates to compute the volume of the solid inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4.
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Neal Co. wishes to maintain a growth rate of 6 percent a year, a debt-equity ratio of 0.85, and a dividend payout ratio of 45 percent. The ratio of total assets to sales is constant at 2.15. What profit margin must the firm achieve? Round your answer to 2 decimal places. Profit margin: _____
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The equation r= 6 sin θ describes a circle. The area of the circle is:
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Prepare a production cost report using the weighted-average method. Mercury Company manufactures a product for which materials are added at the beginning of the manufacturing process. A review of the company's inventory and cost records for the most recently completed year revealed the following: Units ...
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Security Pension Services helps clients to set up and administer pension plans that are in compliance with tax laws and regulatory requirements. The firm uses one job-order costing system in which overhead is applied to clients{eq}' {/eq} accounts on the basis of professional staff hours charged to the accounts. Data ...
$172.5
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Compute the flux of the vector field {eq}F=4xi+6yj+3zk {/eq} through the parameterized surface {eq}S {/eq} oriented upward and given, for {eq}0\leq s \leq 2, 1\leq t \leq 4 {/eq}, by {eq}x=s^2,y=2s+t^2,z=5t {/eq}.
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You are the firm manager that receives revenues of $50,000 per year from product X and $60,000 per year from product Y. The own price elasticity of demand for product X is -1.3 and the cross price elasticity of demand between product Y and X is -1.7. How much will your firm's total revenues (revenues from both products...
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Assuming that a lightning bolt can be represented by a long straight line of current, if the magnetic field strength is {eq}7.14 \times 10^{-5} {/eq} T at a distance of {eq}28.0 {/eq} m away from the bolt, and the bolt lasted for a total of {eq}1.5 \times 10^{-3} {/eq} s, what is the magnitude of the total electrica...
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Mitch is planning to take out a mortgage loan for $180,000. He believes that over the 20-year term of the loan, his monthly interest rate will be {eq}0.008 {/eq}. If he makes monthly payments of {eq}\$1,600 {/eq}, how many months will it take him to pay off the loan? Use a spreadsheet formula to calculate the answer...
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Roberts Company reported the following information for 2014: Beginning balance in Retained Earnings $140,000 Dividends declared and paid during the year $180,000 Net income for the year $350,000 Roberts Company's ending balance in Retained Earnings is: a. $210,000 b. $330,000 c. $300,000 d. $180,000
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Which one of the following is not an accurate description of Allowance for Doubtful Accounts? a. Contra account. b. Balance sheet account. c. Current asset account. d. Income statement account.
d
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The system of classical equations was developed to: a. Axiomatize the theory of probabilities b. Explain the equilibrium of value c. Explain the relationship between interest rates and trade deficits d. Show how aggregate demand determines prices and employment
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A bank is willing to lend you $5,000 for one year at 8% interest. In addition, in order to obtain this loan, you must maintain a 25% compensating balance. What is the annual rate of interest on this loan?
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You are analyzing a potential investment project (project Delta), which requires an initial outlay of $200 million. You determine that the project's net present value (NPV) is $15 million, and the internal rate of return (IRR) is 12 percent. The chief financial officer (CFO) asks you to analyze two related projects: pr...
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The Harper Corporation uses the weighted-average method in its process costing system. This month, the beginning inventory in the first processing department consisted of 640 units. The costs and percentage completion of these units in beginning inventory were: CostPercent Complete Materials costs$4,80085% Conversio...
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Compute the limit $$\lim_{x\to 0} x \cos{\left( \frac{1}{x}\right)}$$
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Use Laplace transform to solve the following O.D.E.: y'' + y = t, y(0) = 0, y'(0) = 1
y(t) = t
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Gustafson Inc. uses the FIFO method in its process costing system. Operating data for the Casting Department for the month of September appear below: Units Percentage complete with respect to conversion Beginning work in process inventory 4,100 60% Units started into production during September 29,200 Units transfer...
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A firm wishes to maintain an internal rate of return of 12% on a 10-year project that has a capital expenditure of $100,000. Using the table, what is the maximum amount they can spend to generate cash flow next year? Year Cash Flow 1 -100,000 2 +30,000 3 +30,000 4 +30,000 5 +30,000 6 +30,000 7 +30,000 8 +3...
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Dr. Patriot has been working on an advanced ballistic missile technology for the US military. The technology is expected to be available to the military seven years from today. It will generate an annual income of $2,000,000 seven years from now and that annual income will grow at 2% perpetually starting that year. Wha...
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Find the internal growth rate for MNO Corp., which has an asset turnover ratio of 1.35, a net profit margin of 5%, and a dividend payout ratio of 60% and a balance of 1,000 in retained earnings.
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Approximate the total error involved in using the approximation {eq}\; f(x) \approx L(x) \; {/eq} for {eq}\; -0.16 \leq x \leq 0.16, \; f(x) = e^x - 1 {/eq} and {eq}\; L(x) = x + \frac{1}{2}x^2 {/eq}. Use the formula {eq}\; \left|\frac{f^{\prime\prime}(z)}{2}\right|(x - a)^2 {/eq} for {eq}\; f(x) - L(x) {/eq}, where {e...
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What is the probability that the mean salary of a random sample of 48 flight attendants is less than 56,100, given that the population mean annual salary for flight attendants is 56,275 and σ = 1800?
0.2514
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Breezy Days Company just paid a dividend of $4.25 per share. Analysts expect the company's growth rate to be 6% for the foreseeable future. If the required rate of return is 10%, what should be the current price of this stock?
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Retained Earnings: Beginning balance$84,000 Ending balance$130,000 Net Income$29,000 Dividends$6,200 Dividends: Common$5,300 Preferred$900 Payout Ratio: a. 16% b. 100% c. 25% d. 19%
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Titan Football Manufacturing has the opportunity to raise $14.2 million by selling 20-year bonds for 95 percent of par. Because the loan will be for the entire amount needed, the company could sell fewer bonds and receive enough to raise the money. The bonds would have a 5.5 percent coupon. The company can either issue...
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Given {eq}f(x) = \cos(x), p_n(x) {/eq} is the Taylor Polynomial of degree n of f(x) about a = 0. How large should n be so that {eq}\mid f(x) - p_n(x) \mid < 10^{-5} {/eq} for {eq}- \frac{\pi}{4} \leq x \leq \frac{\pi}{4} {/eq}?
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In which case would an increase in the interest rate most likely have the greatest impact on bond prices? A) A 20-year bond with a 5% coupon B) A 1-year bond with a 5% coupon C) A 20-year bond with a 10% coupon D) A 20-year bond with a 5% coupon and semi-annual interest payments
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You are given a sample size n = 47. You are asked for a 90% confidence interval. What value of t or z do you use?
1.679
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You have to pay $50,000 per year for your mortgage. You know that your loan is a 30-year mortgage and the interest rate is 4% (APR). How large is your loan (what is the present value of the loan)?
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Machine Z costs $120,000 and will generate annual cash revenues of $48,500. It will require out-of-pocket costs of $18,000 annually. The life of the machine is 7 years and there will be no salvage value. Use a discount rate of 8%. What is the machine's net present value (NPV)? a) $6,404 b) $113,068 c) $36,910 d) $...
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Blue Yonder Airlines must raise $54 million for its upcoming expansion plans. In analyzing the company's financial situation, its advisors determined that a debt issue at the right time would net Blue Yonder an additional $390,000 in costs. Blue Yonder can issue debt at 4.6%. The company is taxed at a rate of 34%. How ...
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If Ag{eq}_2 {/eq}SO{eq}_4 {/eq} (Ksp = 1.20 x 10{eq}^{-5} {/eq}) is dissolved in 250.0 mL of 0.010 M AgNO{eq}_3 {/eq}, what is the maximum amount of Ag{eq}_2 {/eq}SO{eq}_4 {/eq} that can be dissolved?
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Klein's Markets has bonds outstanding that pay a 5% coupon, have a 5.28% yield to maturity, and a face value of $1,000. The current rate of inflation is 4.1%. What is the real rate of return on these bonds? A. 0.89% B. 0.97% C. 1.14% D. 1.22% E. 1.29%
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Weak base B has a pKb of 6.78 and weak acid HA has a pKa of 5.12. An aqueous solution is made in which the concentration of weak acid HA is twice the concentration of the sodium salt of the weak acid, NaA. Calculate the pH of the solution.
4.82
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Jester, Inc. will pay an annual dividend of $4.10 a share this coming year and an annual dividend of $6.10 next year. The firm expects to increase their dividend each year by 5.40 percent. What is the required rate of return on this stock if the current stock price is $76 a share? A. 9.85 percent B. 8.57 percent C. ...
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Seamus Corporation is considering the purchase of a machine that would cost $420,000 and would last for 5 years. At the end of 5 years, the machine would have a salvage value of $48,000. By reducing labor and other operating costs, the machine would provide annual cost savings of $98,000. The company requires a minimum...
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You work for a company in California that has a labor contract with its members, which are building trades workers. The contract states that the maximum wage increase allowed in one year is $2,000 and that the maximum wage increase that can be claimed if the price of a commodity increases by more than 25% in one year i...
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Bill's Boards has a contribution margin ratio of 25%. It wants to earn $200,000 in net income with a tax rate of 30%. What amount of sales dollars will the company need to make before taxes in order to earn $200,000?
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What is the most likely cause of this patient's hypoglycemia? a. Cushing's disease b. Sarcoidosis c. Iatrogenic d. Acromegaly e. Non-communicable diabetes
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Palmiero purchased a patent from Vania Co. for $1,500,000 on January 1, 2010. The patent is being amortized over its remaining legal life of 10 years, expiring on January 1, 2020. During 2012, Palmiero determined that the economic benefits of the patent would not last longer than 6 years from the date of acquisition. W...
900,000
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Kantor Corporation's stock had a required return of 11.75% last year, when the risk-free rate was 5.50% and the market risk premium was 4.75%. Then an increase in investor risk aversion caused the market risk premium to rise by 2%. The risk-free rate and the firm's beta remain unchanged. What is the company's new requ...
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The inventory turnover ratio is an example of a(n) _____ A) steering control. B) activity control. C) behavior control. D) output control. E) influencing control.
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Budgeted cost of goods sold for Andover manufacturing in 20x1 is $600,000. The estimated ending inventory is $150,000, and the budgeted beginning inventory is $100,000. What is the budgeted cost of goods manufactured for 20x1? a. $440,000. b. $500,000. c. $650,000. d. $790,000.
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If $g(x) = \bigtriangledown f(x)$ and $D$ is a region in the plane such that $f(x) = 1$ on the boundary of $D$, and $g(x)$ is always pointing "inward" to $D$, then how can we rigorously prove that $$\frac{1}{2}\int_D \bigtriangledown^2f(x)\, dx \leq 0?$$
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At the instant the current in an inductor is changing at the rate of 1.00 A/s, the magnitude of the emf induced in the inductor is 20.0 mV. What is the inductance of the inductor?
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Which of the following is true of a like-kind exchange? (a) There must be no cash exchanged to qualify. (b) The properties exchanged cannot be personal residences. (c) Office furniture can be exchanged for computers. (d) A new holding period for capital gains treatment starts on the day the exchange is completed.
b
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I have to find a minimum payment for $5000 at 1% per month for 3 years, so I do $5000(A/P, 1%, 36), I get $156.17. However, my textbook says $153.55. The textbook uses the equation $A = (A/P, 1%, 36)*[(i(1+i)^n)/((1+i)^n-1)] = $153.55. Am I doing something wrong, because the equation I am using is also listed on the ta...
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The risk-free rate of return is {eq}3\% {/eq} and the market portfolio has an expected return of {eq}10\% {/eq}. L & M stock is expected to return {eq}14\% {/eq} given a beta of {eq}1.25 {/eq}. What is the implied risk-free rate, given the current risk-free rate of {eq}3\% {/eq}? Please round your answer to {eq}2 ...
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Suppose the Fed purchased US $500 million of US Treasury securities. If the desired reserve ratio is 10%, and the public wish to hold no currency, by how much can the banking system increase the money supply as a result of the Fed's open market operation? A. $500 million B. $5,000 million C. $450 million D. $550 mi...
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Which of the following would indicate a conflict between the goals of full employment and balance of payments equilibrium ? a. inflation and a balance of payments deficit b. unemployment and a balance of payments surplus c. unemployment and a balance of payments deficit d. full employment and a balance of payments ...
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The common stock has just paid an annual dividend of $2.10. The projected constant growth rate of dividends is 8%, and the market price of the stock is $47.50. Calculate the required rate of return on the stock using the Dividend Discount Model (DDM).
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An oversized yo-yo is made from two identical solid disks each of mass M=2.00kg and radius R=10.0cm. The two disks are joined by a solid cylinder of radius r= 4.00cm and mass m=1.00kg. Take the center of the cylinder as the axis of the system, with positive torques directed to the left along the axis. All torques and a...
0.857s
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A corporation reports the following financial information. Determine the return on investment (ROI) for 2013. Sales$960,000 Beginning net assets$140,000 Ending net assets$190,000 Costs$680,000 Beginning common stock$75,000 Ending common stock$75,000 Beginning retained earnings$75,000 Ending retained earning...
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The surface charge density on an infinite charged plane is {eq}\rm \sigma = 1.00 \times 10^{-6}\ C/m^2 {/eq}. What is the electric field strength near this plane?
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You are a marketing director for a large food manufacturer. Lately, you have noticed that youare spending a great deal more time at work, sometimes 14 hours a day, because your best friend,who is head of product development, continues to ask you to serve on taste test panels for new products. Which type(s) of conflict ...
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Given a continuous r.v. $Y$ with CDF $F(y)$, show that $$\mathbb{E}(F(Y)) = \int F(y)dF(y) = \frac{1}{2}$$ in two ways: 1. via the Law of Iterated Expectations, by conditioning on a sub-r.v $X \sim F(y)$; and 2. by expressing $F(y)$ as a sub-integral in $\mathbb{E}(Y)$ and integrating by parts.
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A cylindrical tank 10 feet in diameter and 20 feet long is lying on its side. The tank is half full of oil. How many additional gallons of oil must be added to raise the oil level by 2 feet? The oil is 6.706 pounds per gallon.
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A weak acid HA with a pK_a = 6.00 is added to a solution with a fix pH = 3.50. Estimate the percent dissociation of the acid under such conditions.
0.315%
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The Autocorrelation function (ACF) or correlogram is very important because: a. It serves as a useful tool to identify univariate time-series models b. It helps to identify if an economic time-series has a unit root or not c. Both A and B d. None of the above
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You have an $800,000 portfolio which is invested in stocks A and B, and a risk-free asset. $320,000 is invested in stock A. Stock A has a beta of 1.76 and stock B has a beta of 0.89. How much needs to be invested in stock B if you want a portfolio beta of 1.10? The answer choices below are in millions of dollars. A. 0...
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If Congress and the president want to use fiscal policy to restore the economy to potential real GDP and increase real GDP by $1 trillion when real GDP is $13 trillion and potential real GDP is $13.5 trillion, Congress and the president would need to increase government purchases by:
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Which of the following is the correct set of identities associated with M1, M2, and M3, respectively? a. Checking accounts and small-time deposits, demand deposits and other checkable net worth, the total amount of government money in circulation and demand deposits. b. Demand deposits and other checkable net worth, ...
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Company X reports the following information: Sales on account during 2010 $230,000 Collections from credit customers in 2010 $200,000 Accounts Receivable 12/31/10 $30,000 Estimate the uncollectible accounts expense using the percentage of accounts receivable method and assuming...
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Given the double integral {eq}\displaystyle\int_{0}^{3}\int_{0}^{x}x + 2 \: dy \: dx, change to polar coordinates and evaluate. {/eq}
18
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What's the equilibrium concentration of {eq}CH_3CO_2^- {/eq} in 750.0 mL of a solution that has 7.50 g of {eq}CH_3CO_2H {/eq} (K = 1.8 * 10{eq}^{-5} {/eq}) added to it?
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Shore Company is considering purchasing new equipment for $65,000. The equipment is expected to last 10 years and have a residual value of $6,000 at the end of 10 years. The new equipment is expected to be used 40,000 hours during year 1 and 37,000 hours during year 2. Each unit produced by the equipment weighs 9 pound...
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Calculate the pH of the solution at the equivalence point when 20.0 mL of 0.10 M benzoic acid is titrated with 0.10 M potassium hydroxide. The Ka for benzoic acid is 6.3 x 10^-5.
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Allen Inc. failed to record depreciation expense in 2019 and 2020. No correcting entries were made at December 31, 2020. Which of the following is correct? a. Retained earnings at the end of 2020 will be overstated, and net income for 2020 will be understated. b. Retained earnings at the end of 2020 will be overstate...
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The following cost function was estimated by the regression method: Y = $120,000 + $4.25X Which of the following statements is true? a) Fixed costs amount to $4.25. b) The accuracy of this cost function may be evaluated by means of the coefficient of correlation. c) The variable cost per unit of output is $120,000...
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Cash receipts from interest and dividends are classified as A) operating activities. B) investing activities. C) either financing or investing activities. D) financing activities.
B
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Suppose that X is normally distributed with a mean of 6 and a variance of 25. Determine the constant b such that P(X < b) = 0.7.
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Given the following events at your company last year: {eq}\begin{array}{r|l} \text{Collections from customers} & \$142,000 \\ \text{Payment to suppliers} & 98,000 \\ \text{Salaries paid} & 57,000 \\ \text{Interest paid} & 2,300 \\ \text{Dividends paid} & 21,000 \\ \text{Tax paid} & 15,000 \\ \text{Sal...
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A stock price is currently $100. Over each of the next two 6-month periods it is expected to go up by 10% or down by 10%. The risk-free interest rate is 8% per annum with continuous compounding. What is the value of a 1-year call option with a strike price of $100?
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While the coefficient of correlation measures the strength of the linear relationship between two variables, what does the coefficient of determination show about the two variables? a. The coefficient of determination shows the coefficient of correlation between the two variables. b. The coefficient of determination ...
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One-year Treasury bills currently earn 3.55%. You expect that one year from now, 1-year Treasury bill rates will increase to 3.88%. The liquidity premium on 2-year securities is 0.045%. If the liquidity theory is correct, what should the current rate be on 2-year Treasury securities? a. 7.2950% b. 3.6550% c. 7.4300%...
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