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Suppose that you and 10 of your friends go to Doyles Seafood at Watsons Bay for lunch. As a group, you decide to order one main each and share the food. You also decide to split the bill evenly. Mains cost between $37.82 and $52.28 each. Suppose that your utility function is given by the following function: {eq}U(X)=X^...
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Dorothy borrows $10,000 from the bank. For a four-year loan, the bank requires annual end-of-year payments of $3,223.73. The annual interest rate on the loan is (a) 9% (b) 10% (c) 11% (d) 12%
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I would like to find a closed form solution for $$I=\int_{-1}^1 dx \frac{\ln(1+x)(2(1-x)\ln(1+x)+3x)}{2x^2(1-x)^2}.$$ Do you have any hints?
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A firm has fixed costs of $1.8 million and depreciation of $1 million. At a sales level of $4.8 million, the variable costs of $2.808 million. What is the accounting break-even level of sales? (Enter the answer in dollars, not millions of dollars, e.g., 1,234,567.)
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A single-payment loan is a type of loan where the loan amount is paid back in full at the maturity date. The interest is included in the loan amount at the time the loan is made. Calculate the maturity value (cash needed at maturity) for a $125,000 single payment loan for 60 days at 11%. Use 360 days for the number of ...
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What is the price of a share of stock if the beta is 1.5, its next dividend is projected to be $2.50, and its growth rate is expected to be a constant 8%, assuming the market return is 13%?
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The PV of $100,000 received annually in perpetuity in year 1 through year 5 at a discount rate of 10% is closest to: A) $385,543. B) $400,000. C) $420,000.
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Boyson, Inc., recently paid a dividend of $1.41. The company's stock is currently trading at $20.00 a share. The company has a WACC of 12% and a constant growth rate of 5%. What is the projected dividend yield for the next year?
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Consider the titration of 25.00 mL of a 0.100 M solution of propenoic acid {eq}(K_a = 5.52 \times 10^{-5}) {/eq} with 0.100 M KOH. Calculate the pH when 24.90 mL of KOH is added.
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On January 1, 20X8, S Corp. purchased 70 percent of the outstanding common stock of Sun, Inc. for $104,000. Sun reported common stock of $50,000 and additional paid in capital of $30,000 at that date and retained earnings of $60,000. The fair value of noncontrolling interest was $44,000 at that date. The book value of ...
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The Wabasso Land Company has an investment project that will reduce expenses by $12,000 per year for 3 years. The project's cost is $19,000. If the asset's required rate of return is 10%, should the project be undertaken? Why or Why not? (A) Yes, because the discounted payback period is less than 3 years. (B) Yes, be...
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Given an asset that is expected to produce cash flows of $2,500 in year 1, $4,500 in year 2, $1,500 in year 3, and $500 in year 4. Assume that the required return for the asset is 15%, calculate the approximate Present Value for the asset using the following short-cut approach. Round your answer to the nearest whole nu...
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Assume that Georgia has domestic investment of $1,500 billion, private domestic savings of $3,000 billion and a government deficit of $1,000 billion. Based on the national saving and investment identity, what is its trade deficit if the private domestic savings decrease by $1,000 billion?
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Let R be the triangle with vertices (0, 0), (5, 3) and (0, 12). Use Green's theorem to evaluate the line integral $$ \oint_C (-21y+18x)\:dx + (12y+7x)\:dy $$ where C is the perimeter of R oriented counter clockwise.
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An electronic clock at rest has a period (time interval for one oscillation) of exactly 1 second. When this clock is observed by an observer moving at a speed of {eq}0.80\ \rm c {/eq}, what time interval does the observer measure for one oscillation of this clock? A) 1.25 seconds B) {eq}1.67 \times 10^{-17} {/eq} s...
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Based on the following information, calculate the weighted average cost of capital for Bellevue Power Co.: Debt: 5,000 5.5% coupon bonds outstanding, {eq}25 {/eq} years to maturity, selling for {eq}103 \% {/eq} of par, making semiannual payments. Common stock {eq}: \$29 {/eq} {eq}000 {/eq} shares outstanding,...
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The promotion plan designed to develop customer retention and purchases using the 4E approach should focus on which of the following? a. Energize b. Educate c. Engage d. Excite e. Excursion
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A sample of 36 is taken from a population that has a mean of 100. The sample has a mean of 96 and the population variance is 64. At 95 percent confidence what can be said about the population to which the sample belongs? A. The population mean is 96. B. The population standard deviation is 4. C. The population mean is ...
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Alpha Company had the following account balances for 2017: Dec. 31 Jan. 1 Accounts receivable $42,500 $29,000 Accounts payable 47,000 55,500 Alpha reported net income of $206,000 for 2017. Assuming no other changes in current account balances, what is the amount of net cash provided by operating activities for 201...
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A sample of 100 adult women was taken, and they were asked whether they typically make their own breakfast or get it ready for them. The following table gives the responses. If we randomly select one of these 100 women, what is the probability that she makes her own breakfast? Consumes Someone else's Breakfast Makes...
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Quigley Inc.'s bonds currently sell for $1,080 and have a par value of $1,000. They pay a $100 annual coupon and have a 15-year maturity, but they can be called in 5 years at $1,125. What is their yield to call (YTC)? a) 5.85% b) 6.10% c) 6.55% d) 6.98% e) 7.45%
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A 1000 face-value bond matures on Oct 1, 2010. The bond pays 10% coupons semiannually and was purchased on Jan 1, 2006 to yield 8% compounded semiannually. What is the book value of the bond on April 1, 2008? A. 1000 B. 1032.74 C. 1085.30 D. 1129.32 E. 1062.76
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The term "modernism" has come to be used synonymously with the term: a. perspectivism b. enlightenment c. postmodernism d. romanticism
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The functions $f(x, y)=xy^2$ and $g(x, y)=3x^2y+2y^3$ have the same directional derivative $D_{\mathrm{u}}f(1,1)=5$ and $D_{\mathrm{u}}g(1,1)=25$, where u is the unit vector in the direction of $\langle a, b\rangle$. Find the ratio $\frac{a}{b}$.
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An electric motor operates on 140 V and draws a current of 12 A. What is its power output?
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Evaluate $55 + 61 \pmod{17}$.
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You deposit $1,000 today and your investment grows to $1,300 in two years. If inflation averaged 5% over that time period, what per year real rate of interest did you earn?
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The December 31, 2013, balance sheet of Schism, Inc., showed $147,000 in the common stock account and $2,650,000 in the additional paid-in surplus account. December 31, 2014, balance sheet showed $157,000 and $2,950,000 in the same two accounts, respectively. If the company paid out $153,000 in cash dividends during 20...
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Intercontinental Corporation reported net income of $250,000 for 2014. The following information is available from Intercontinental's income statement and balance sheet: Account receivable12/31/1312/31/14 Net sales$9,000,000$8,750,000 $12,500,000$12,000,000 Accounts payable Inventory Cost of goods sold Dividends o...
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When processing semi-variable costs into fixed and variable components using the High-Low method, what is the equation to determine the fixed cost component? a. Total costs / Units of activity b. Total costs - Total variable cost c. Fixed cost x Variable cost d. Fixed cost + Variable cost
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A business manager determines that the revenue generated by the sale of x units of a certain commodity is {eq}R(x) = 16x - \frac{x^2}{10}{/eq} and that the cost of producing x units of the commodity is {eq}C(x) = 175 + 5x{/eq}. How many units should be produced and sold to maximize profit? (Round your answer to the nea...
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Which of the following organizations has been responsible for setting U.S. accounting standards? a. Accounting Principles Board. b. Committee on Accounting Procedure. c. Financial Accounting Standards Board. d. All of the above.
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The annual rate of return for a common stock is known to have a standard deviation of 28%. What is the probability that the stock's rate of return will be less than -2% or greater than 14% in any one year?
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Assume that a product department incurs {eq}\$6,000 {/eq} of fixed manufacturing costs during a period. If 1,200 units were produced in the department and all units produced were sold for {eq}\$15 {/eq}, what would be the effect on net income of substituting variable manufacturing costing for absorption costing in th...
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When there is an increase in the value of the dollar relative to other currencies, Americans will a. increase the demand for foreign-made goods b. decrease the demand for foreign-made goods c. increase the demand for foreign exchange d. decrease the demand for foreign exchange
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Using an income approach, select from below what would be included in the calculation of GDP? A) The purchase of a new home B) Dividends paid to shareholders by a US company C) The value of your brother's services when he mows the lawn for the family D) The purchase of 20 shares of a new issue of IBM stock E) The ...
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Determine the payback period of the following project. A project costs $216,662.00. The cash inflows for the project over the next three years are $60,000.00, $70,000.00 and $180,000.00. a. 3 years b. 2.1 years c. 2.2 years d. 1.5 years e. 2.3 years
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Use Stokes' theorem to find the outward flux across the boundary of the region of the vector field F = (4xz) i + (-3x^2) j + (y^2)k; the region {eq}x^2 + y^2 \leq 1, 0 \leq z \leq 1.
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Given the following information for 2015, how much is gross profit margin? Sales: $400,000 Cost of Goods Sold: $150,000 Selling, General and Administrative Expenses: $75,000 Depreciation Expense: $50,000 Amortization Expense: $5,000 Interest Expense: $55,000 Income Tax Expense: $32,000
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The current carrying capacity of a conductor in free air is 1 A/mm2. The current carrying capacity of the same conductor when it is surrounded by an insulation with k=3.5 having a thickness of 10 mm is A. 2.3 A/mm2 B. 1.3 A/mm2 C. 0.8 A/mm2 D. 0.2 A/mm2
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What is the expected return on this stock, given that the stock has a beta of 2.12, the risk-free rate is 2.85 percent, and the expected return on the market is 10.30 percent?
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Beagle, Inc., sells a snowboard, Xpert, that is popular with snowboard enthusiasts. The following information is available for the company's operations for last year. Sales: $519,000 Variable cost ratio: 40% Fixed costs: $120,000 Interest expense: $18,000 Tax rate: 35% Assume the company sells 5,000 units of prod...
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Which of the following statements is true? A. The long-term supply of a good might be perfectly inelastic B. The long-term supply of a good cannot be perfectly elastic C. The long-term supply of a good might be perfectly elastic D. The long-term supply of a good might be neither perfectly elastic nor perfectly inel...
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Sally Construction has the following information for 2012: Actual overhead: $760,000 Allocated overhead: $745,000 Applied overhead: $780,000 Actual direct materials used: $750,000 Actual direct labor used: $500,000 Under what circumstances would Sally's choice of allocating manufacturing overhead to production on...
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Use the information below to calculate the value of the independent samples t-statistic. Round to two decimal places. Women Weekly Hours Worked Range 59 Minimum value 11 Maximum value 70 Mean 37.28 Variance 142.88 Standard deviation 11.95 Sum 2013 Number of observations 54 Men Weekly Hours Worked Range 60 Minimum val...
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What is the price of a bond with a par value of $1,000, an annual coupon payment of 7%, and a maturity of 4 years, with a yield to maturity of 6.5%?
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A government bond with a coupon rate of 5.8% makes semiannual coupon payments on July 13 and January 13 of each year. The Wall Street Journal reports the asked price for the bond on January 28 at 100:05. What is the invoice price of the bond if the coupon period has 182 days and the last coupon date is July 13?
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What volume of 1.00 M NaOH would you need to add to adjust the pH of 25.00 mL of 0.160 M glycine to pH = 9.00?
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Suppose that 25.0 mL of a 0.100 M acetic acid solution is added to 25.0 mL of a 0.0950 M HCl solution. The pH of the final solution is 3.40. What is the Ka for acetic acid?
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Hi-Tech manufactures basic cell phones for cell phone service providers. Data for March and April's production follows: March, 2012April,2012 Direct materials cost per phone$6$6 Direct labor cost per phone$14$14 Variable manufacturing overhead cost per phone$11$12 Total fixed manufacturing overhead costs$80,000$80,0...
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Can't Hold Me Back, Inc. is preparing to pay their first dividends. They are going to pay $1.00, $2.50, and $5.00 a share over the next three years, respectively. After that, the company has stated that the annual dividend will be $1.25 per share indefinitely. What is this stock worth to you per share if you demand a 7...
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A company experienced a significant increase in its accounts receivable and accounts payable during 2015. If all else was equal, the company's cash from operating activities as determined by the direct method compared to the indirect method would be: A. lower using the indirect method. B. lower using the direct metho...
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Alpha Corporation Income Statement For the Year Ended December 31, Year 2 Sales revenue $111,000 Cost of goods sold 64,400 Gross profit 46,600 Selling and administrative expense 36,600 Operating income 10,000 Other income 4,900 Operating expense 3,400 Interest expense 3,500 Income before tax ...
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Marginal analysis in operations involves deciding A. at what point to shut down a business. B. on how many units of product to produce. C. how many employees to hire. D. whether to make an item or to buy one.
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Determine the magnitude of the line current for a three-phase, Y-connected generator supplying a 4160 V (line-to-line) load at {eq}0.707 {/eq} power factor.
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Suppose you observe the following spot and forward exchange rates between the U.S. dollar and the Canadian dollar: Canadian dollar exchange rate ($/C$) Spot 0.7970 1 year forward 0.8143 The current one-year interest rate on U.S. Treasury securities is 4.70%. If the IRP holds, what is the expected one-year Canadia...
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Round Window, Inc. bonds have a $1,000 face value and a 9% coupon rate with semiannual coupon payments. The bonds mature in 8 years and have a yield to maturity of 8.39%. What is the price of the bond?
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Future sales for Jobe, Inc. are expected to be $30,000 in one year and $40,000 in two years. The firm's income tax rate is 30%, its cost of equity capital is 12%, and its marginal tax rate is 21%. The firm's cost of debt capital is 8%. At the end of two years, the firm can choose to liquidate or to continue operating. ...
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An increase in labor input: a. Always increases total output. b. Always increases average product of labor. c. Always increases marginal product of labor. d. Can decrease marginal product of labor.
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On December 31, 2012, a company's financial statements showed the following balances: Total Assets $720,000 Total Liabilities $300,000 Common Stock $320,000 Retained Earnings (deficit) $(20,000) In addition, the following transactions occurred during 2013. 1. Net income, $200,000. 2. Issued common stock for $60,0...
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The following information pertains to the First Street Development Company: Yield to Maturity Bondholders10% Stockholders15% Remaining Maturity Bondholders25 years Stockholdersn/a Management's Required Rate of Return12% First Street Development Company has been generating stable positive cash flows and is expected to...
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Find the flux of the vector field F(x,y,z)=zj+4zk outward across the portion of the plane x+y+z=6a where 0<x<6a, 0<y<6a-x, and a>0
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The balance in the Equipment account is $150,000. In addition, equipment with an original cost of $20,000 and an accumulated depreciation of $18,000 is in the process of being sold for $5,200. How should this information be correctly reported in the financial statements? a. Net equipment is $170,000 and long-term inves...
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You are considering buying a $1000 corporate bond with a 5% coupon rate that matures in 15 years. You require a 6% return on the bond investment. What is the maximum price you should be willing to pay for the bond?
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How can I calculate the value of the infinite sum $\sum_{n=0}^{\infty}{(-1)^{n}\over 2^{2n+1}}\sum_{k=0}^{n}{(2n-2k)^{2}\over 2k+1}{n\choose k}$? Is it possible to show that the value is between $2.5$ and $2.6$, possibly by proving that $\sum_{n=0}^{\infty}{(-1)^{n}\over 2^{2n+1}}\sum_{k=0}^{n}{(2n-2k)^{2}\over 2k+1}{n...
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Calculate the concentration of all species in a 0.591 M Na{eq}_2 {/eq}SO{eq}_4 {/eq} solution.
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Lerner Corporation, which began business at the start of the current year, had the following data for the year: Production in units 4,000 Sales in units 2,000 Ending inventory in units 100 Fixed overhead in total $16,000 Unit sales price $72 Variable cost per unit $28 Under absorption costing, Lerner Corporatio...
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Kala Industries has 2,000 units in beginning finished goods inventory and 3,000 units in ending finished goods inventory. The manufacturing overhead applied is $50 per unit, the direct materials cost is $30 per unit and the direct labor cost is $20 per unit. What is the amount of underapplied or overapplied overhead if...
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Fiam Industries projects the following revenues from their competitor's possible strategies choices: Competitor's strategy Probability of competitor's strategy Revenue ($ millions) Expand Production 0.37 1,372.7 Reduced production 0.12 2,978.7 Fiam...
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An analyst collected the following data regarding a company's assets and operations: 3,000 shares of common stock; $500,000 of dividends received; $100,000 of interest; $1,000,000 of cost of goods sold; $600,000 of return on investment; $50,000 of unrealized gain; $700,000 of cost of sales; and $200,000 of dividends de...
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The dividend yield on Alpha's common stock is 5.4%. It just paid an annual dividend of $2.28 and plans to pay $2.50 next year. The stock is selling for $27.63. How long will it take for the stock to reach $57 a share, assuming a constant growth rate of the dividend?
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What is the instantaneous rate of change of #f(x)=(x-4)(e^x-1) # at #x=-2 #?
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∫e^t/(e^(2t)+1)dt
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Consider the following information for Evenflow Power Co., Debt: 5,200 6 percent coupon bonds outstanding, $1,000 par value, 15 years to maturity, selling for 102 percent of par; the bonds make semiannual payments. Common stock: 127,500 shares outstanding, selling for $62 per share; the beta is 1.10. Preferred stock...
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An investment will pay you $11,000 in one year, $7,000 in two years, and $25,000 in three years. If the interest rate is 8%, how much would you be willing to pay for this investment today?
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Calculate the current Ix in the circuit in the figure using source transformation. Take {eq}I = 5 A, V_{S1} = 14 V, V_{S2} = 8 V, R_{1} = 2\Omega, R_{2} = 3\Omega {/eq} and {eq}R_{3} = 5\Omega {/eq}.
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Suppose the covariance between a random variable X and another random variable Y is -20, the standard deviation of X is 1.40, and the standard deviation of Y is 3.50. The correlation coefficient of X and Y is A. -0.671. B. -0.816. C. -1.000. D. None of the above.
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The number of events occurring in a given time interval is 5 on average. What is the probability of observing 8 events during this interval?
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The Pecan Division of a major food company has a negative residual income of $540,000. The Pecan Division's management is contemplating an investment opportunity that will reduce this negative amount to $400,000. The investment: A. should be pursued because it is attractive from both the divisional and corporate persp...
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Find the area of the surface which is the part of the plane {eq}4x + 6y + z = 24{/eq} that lies in the first octant.
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In a perfectly competitive market, a typical firm earns a profit of $30,000 when the equilibrium price is $35. The firm's MRP labor is $50,000 and its MRP capital is $20,000. If the wage is $6 per hour and the rental price of capital is $2 per unit, then the firm hires _____. A. 5,000 units of labor and 10,000 units o...
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Assume that the predetermined overhead rate per unit is $10, the normal selling price per unit is $75, and the cost of a product's unit-specific design is $2000. The special offer is for 3000 units at $50 per unit. The company is operating at full capacity. Which statement is most accurate? a. Accept the offer, becaus...
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Sleezy Corporation bonds pay interest annually and have a 5% yield to maturity. It has a face value of $1,000 and a current market price of $1,085.62. What is the annual interest payment of the bond?
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How can I use Newton's method to find the root of the equation $x^4=2x+3$ correct to six decimal places, given the function $f(x)=x^4-2x-3$ and its derivative $f'(x)=4x^3-2$?
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Company A owns 65% of the common stock of Company B. Company A reported sales of $800,000 and cost of goods sold of $300,000 for the year. Company B reported sales of $400,000 and cost of goods sold of $220,000 for the year. If Company A sold inventory that cost $25,000 to Company B for $50,000, what amount should Comp...
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Diversification works best when securities in a portfolio have A. returns that move in the same direction. B. returns that move in different directions. C. returns that move in opposite directions. D. returns with a large negative correlation coefficient. E. both C and D.
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If dividend growth can be assumed to be at a constant rate g into the foreseeable future, what is the expected return on a stock? A. {eq}r=g - \frac{D}{P} {/eq} B. {eq}r=\frac{D}{P} - g {/eq} C. {eq}r=\frac{P}{D} + g {/eq} D. {eq}r=\frac{D}{P} + g {/eq}
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The widget industry has three types of firms. The cost structure for each type is as follows: Output Type A Type B Type C 0 $5 $5 $5 1 $10 $12 $8 2 $12 $14 $10 3 $15 $18 $12 4 $24 ...
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Suppose that the short-term U.S. interest rate is 4%, the euro is trading at 1 euro per dollar, and the euro is expected to depreciate to 1.1 euros per dollar. What risk-free dollar-denominated return can be achieved by a U.S. investor by adopting a short hedge in the forward market?
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Using data in the table, test the claim that the median annual salary for environmental engineers is $65,000, using a 0.01 significance level. Find the critical value(s) and identify the correct conclusion about the null hypothesis. Annual Salary (in thousands of dollars) 67.6 81.9 77....
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A firm has an average collection period of 40 days and an operating cycle of 90 days. It has a policy of keeping at least $10 on hand as a minimum cash balance and has a beginning cash balance for the first quarter of $25. Beginning receivables for the quarter amount to $35, and beginning accounts payable for the quart...
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What is the area inside the four-leaved rose {eq}\displaystyle r^2 = 4 \cos 2 \theta?
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The horizontal line y = 3 intersects the curve y = 2x - 4x^3 in the intervals -2 < x < 2. A fluid flows with a velocity u = y - 4x^2 m/s into the curve at x = -1 and then out of the curve at x = 1. Find the circulation of the velocity in the x-direction around the curve (clockwise).
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How many times on average must we roll 6 dice until we get 6 distinct values?
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Two electrons are separated by 1 m. Their Coulomb repulsion is: A) {eq}1.44 \times 10^{-26} \ N {/eq} B) {eq}2.3 \times 10^{-37} \ N {/eq} C) {eq}5.6 \times 10^{-24} \ N {/eq} D) {eq}4.2 \times 10^{-16} \ N {/eq} E) none of the above
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Mercury Leasing Company (lessor) purchased a machine for $280,000 and leased it to an Orlando Company (lessee) on January 1, 2010. The useful life of the machine is 4 years and the lease term is 3 years. The lessee paid $85,000 to the lessor on January 1, 2010, and annual payments of $60,000 on December 31st for each o...
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Metroplex Corporation, a closely held corporation that is not a personal service corporation, has $100,000 of passive losses, $80,000 of active business income, and $20,000 of portfolio income. How much of the passive loss may Metroplex Corporation deduct in the current year? a) $0. b) $20,000. c) $80,000. d) $100,...
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Which Factor relationship would be used to determine an Annuity of a Present? A. PW = (A/P, I, N) B. A = (A/P, I, N) C. PW = (P/A, I, N) D. FW = (A/F, I, N)
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You would like to have $10,000 in one year and $20,000 in five years. How much would you have to put in a savings account today if your money earns 5% per year? Round to the nearest hundred dollars. a. $28,600 b. $22,200 c. $19,300 d. $24,500
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Cardinal Company is considering a project that will produce cash inflows of $287,000 a year for three years followed by $119,000 in year four. What is the internal rate of return if the initial cost of the project is $456,000? a) 5.80 percent b) 6.32 percent c) 6.99 percent d) 7.51 percent
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