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The Wintergrass Company has an ROE of 13.6 percent and a payout ratio of 29 percent. What is the company's sustainable growth rate?
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An initial investment of $29,115 is to be returned in five equal annual payments. Determine the amount of each payment if the interest rate is 12%.
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Show that: $$\lim_{x\to0}\Bigg(\dfrac{x-\sin(x)}{x\sin(x)}\Bigg) = 0$$
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If the demand for a good is inelastic, then a given percentage increase in price will result in a: a) smaller percentage increase in total spending on the good. b) larger percentage increase in total spending on the good. c) percentage decrease in total spending on the good that is the same as the percentage increas...
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Let $a_n = \frac{2-2n}{(n^2+n)(n^2-3)}$. By definition, prove that $\{a_n\}$ converges.
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Suppose the working-age population is 20 million, the workforce participation rate is 50%, full time employed is 7 million, part-time employed is 2 million, structural and frictional unemployed is 0.4 million, and hidden unemployment is 0.2 million. The number of the workforce experiencing cyclical unemployment is: a...
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Calculate. {eq}\bigtriangledown \times (\bigtriangledown \times \mathbf{A}) {/eq}
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A monopoly faces the demand function p = 10 - Q. Calculate the output that maximizes its profit, where profit is given by π = R - C, with R = pQ and C = 2 + Q.
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Integrate $e^{-|x|}$ from $-\infty$ to $\infty$ using the definition of the integral and the fact that $f$ is continuous at $0$ and $\int_0^\infty e^{-x}dx=1$. Also, show that $f$ is odd and argue why the integral from $-\infty$ to $\infty$ is $2$ times the integral from $0$ to $\infty$. Why is $f$ odd, and why does th...
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________-based costing systems often do a poor job of product costing because they: a. often do not reflect changes in major cost categories caused by plant automation. b. use only volume-based cost drivers. c. too often use an allocation base that does not have a cause-effect relationship to resource usage. d. fai...
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Calculate the area of the surface S, where S is the portion of the plane 4x + 5y + 5z = 2 that lies within the cylinder x^2 + y^2 = 25.
5 \sqrt{66} \pi
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The following data pertain to Spade Company. Premium on Bonds Payable Jan. 1 $54,000 Dec. 31 66,000 Interest Paid 50,000 What was the cash flow from interest paid and received during the year?
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If price were lower than the average total cost but higher than the average variable cost, then: A. A firm could not produce at a lower average cost in the long run. B. A firm would incur a positive profit in the long run. C. A firm would incur an economic loss in the long run. D. Some firms would incur an economic...
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Tread Corp. makes floor mats for cars. Tread allocates manufacturing overhead to products based on estimated direct labor hours of 400,000, actual direct labor hours of 420,000, estimated manufacturing overhead costs of $1,800,000, and actual manufacturing overhead costs of $1,650,000. What was the underapplied or over...
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In a perfectly competitive labor market, what happens when there is an increase in demand for labor? A. Wages will increase. B. More people will be employed. C. Firms will hire more labor. D. All of the above E. None of the above.
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Let $X_1, X_2,..., X_n$ be $n$ independent random variables each having a normal distribution with mean $\mu$ and variance $\sigma^2$. Find the MLE of $\mu$ when $\sigma^2$ is given.
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Nick's camera ship carries Zodiac instant print film. The film normally costs Nick $3.20 per roll, and he sells it for $5.25 Zodiac has a shelf life of 18 months. Nick's average sales are 21 rolls per week. His annual inventory holding cost rate is 25% and it costs Nick $20 to place an order with Zodiac. If Zodiac off...
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At a recent football game, a hot dog stand sold 300 hot dogs at $1.80 each. The supplier of hot dogs for the stand charged $0.90 per hot dog. What is the economic profit for the owner of the stand? a. $90 b. $180 c. $270 d. $450
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Find the smallest radius of convergence $R$ of the power series expansion of the solution about $x=0$ of the ODE $$x^2y'' - xy' + (x^2+1)y=0,$$ given that $y(0)=1$ and $y'(0)=1$, and the series expansion is $$y(x)=1+x+\frac{x^2}{2}-\frac{x^4}{3}+\frac{17x^6}{72}+...$$
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A company's average collections period (days) is the time it takes a. To produce a product. b. For a firm to pay its trade creditors. c. For a firm to collect its trade receivables. d. For a firm to collect its trade receivables and pay its trade creditors.
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How would I go about calculating the derivative of f(x) = log_2 (x^2 - 1)?
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You purchased a zero coupon bond one year ago with a par value of $1,000. The market interest rate is now 9 percent. If the bond had 15 years to maturity when you originally purchased it, what is your total return on the bond? The bond pays interest annually. a) 30.69% b) 5.14% c) 15.14% d) 1.05%
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Consider the following returns and states of the economy for TZ.com: Economy Probability Return Weak 15% 2% Normal 50% 8% Strong 35% 15% What is the standard deviation of TZ's returns?
4.49%
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How many subjects should be tested to estimate, with 90% confidence, the mean maximum cardiac output to within 3, given that the standard deviation of this population is 10?
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A company paid $10,000 to clean up a hazardous waste spill in a local lake. The total cash flow associated with this expenditure is: A) $10,000; it is an outflow in year 0. B) $10,000; it is an outflow in year 1. C) -$10,000; it is an outflow in year 0. D) -$10,000; it is an outflow in year 1.
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Company X wants to invest in project A, B or C (the company can only invest in one project (A, B or C) or the company can choose not to invest in any project (DN (do nothing)). Based on the incremental analysis rates of return shown below, what alternatives should company X choose? (MARR=10%) IRR ...
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As you prepare to meet with your client, the owner of Intuit Labor Consultants, it is important to review the relevant costing methods. Which of the following statements concerning costing methods is correct? a. Job-costing systems generally provide more accurate product cost information than does a process-costing sy...
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Who is most likely to be protected by the voting requirements of a state's statutes regarding the issuance of new shares of stock? a. existing shareholders. b. the company's creditors. c. debtholders. d. employees. e. none of the above.
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Evaluate the limit: {eq}1) \lim_{x\rightarrow \infty}\frac{5x^{2}}{e^{x}} {/eq}
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The price-elasticity of demand for a product is a measure of A. consumer sensitivity to price changes. B. producer sensitivity to price changes. C. product market competitiveness. D. None of the above
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As it relates to financial statements, a balance sheet shows a company's: A. Cash flow for the current period. B. Profitability for the current period. C. Equity during the current period. D. Financial position at a point in time. E. Investments during the current period.
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Hocker Company manufactures a single product that is sold for $100 per unit and has a $10 unit product cost. Consider each of the independent situations below: Assume that the company incurs a cost of $2 per unit to process a batch of 100 units of product into two new products: 100 units of Product A and 100 units of ...
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From an analysis of the income statement, what can you learn that you cannot learn from the other financial statements? A. total revenues B. cost of goods sold C. expenses D. net income
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Calculate the mean, variance, and standard deviation of the following discrete probability distribution. Do not round intermediate calculations and round your final answers to 2 decimal places. X P(X) 5 0.15 10 0.25 15 0.30 20 0.10 25 0.10
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Find the limit: {eq}\lim_{x\rightarrow 0^+} (1 + \sin 3x)^{\frac{1}{x}} {/eq}
e^3
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A price-taker (perfectly competitive firm) will maximize its profits by hiring factors up to the point at which a. MRP > MFC. b. MRP = MFC. c. MRP < MFC. d. VMP = MFC. e. c and d
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A credit crunch in the financial market tends to: a. Increase the size of the money supply b. Increase the number of loans available to consumers c. Increase the price of government bonds d. Decrease the interest rate on mortgage loans e. Reduce credit availability and increase interest rates
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What type of organizational structure promotes specialization of labor and allows rapid decision making? A) Divisional structure by product B) Functional structure C) Divisional structure by customer D) Strategic business unit E) Matrix structure
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For which values of $x$ is the following Fourier series convergent: $$\sum_{n=1}^{\infty}\frac{2nx\sin(nx)}{e^n}$$ I have to use the Weierstrass M test. My idea is the following: $$\left|\frac{2nx\sin(nx)}{e^n}\right| \leq \left|\frac{2nx}{e^n}\right| \leq \left|\frac{2nx}{e^n}\right|^{m}$$ However, I don't know what t...
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The tread life of the tires on a particular brand of car follows a normal distribution with a mean of 55,000 miles and a standard deviation of 8,000 miles. A consumer buys this particular brand of tire and is surprised to find that after 5,000 miles of use, the tread on the tires is still good. If the tire life for thi...
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A manufacturing company incurs direct labor costs as it transforms direct material into marketable products. The cost of the direct labor will be treated as a period cost on the income statement when: a. Payroll costs are paid b. Payroll costs are incurred c. Products are completed d. Products are sold
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During the month of September, Dardenas Corporation had the following manufacturing costs: Direct materials $35,000 Direct labor 19,000 Manufacturing overhead 45,000 Calculate the cost of goods sold for September.
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An 800 mg dose of an anti-inflammatory drug has an average of 600 mg bioavailable after the 10 mg/min dose rate is reached (plateau). Assuming the drug has a half-life of 3 hours, what is the maximum percentage of a 200 mg dose that will be bioavailable if the 200 mg is given in three equal doses over a 3-hour period?
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Project management is most concerned with _____. a. strategic direction b. profit maximization c. meeting customer expectations d. the orderly coordination of resources for efficiency e. financial performance
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The maximum amount of labor time that can be devoted to this project is 120 hours. The minimum amount of work that must be done on this project is 36 hours. It is estimated that 5 hours of labor time will be required for each unit of product A and 3 hours of labor time for each unit of product B. Product A will yield a...
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The liquidity premium modification helps explain why the yield curve: A) is almost always flat B) is usually ascending C) inverts before recession D) has ST rates usually higher than LT rates
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A project has an initial cost of $46,575, expected net cash inflows of $12,000 per year for 8 years, and a cost of capital of 13%. What is the project's payback period?
3.88 years
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Consider the following information and data concerning Winters corporation. Cost Market Inventory A $61,000 $65,000 Inventory B $53,000 $57,000 Inventory C $68,000 $64,000 Inventory D $82,000 $86,000 What is th...
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A company's needs for additional financing depend primarily on: a. the company's financial flexibility. b. the company's forecasted growth. c. the company's capital intensity. d. All of these answers are correct.
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Providence Corporation makes an equity-method investment in Southampton Inc. at a purchase price of $3.4 million cash, representing 30% (at book value) of Southampton Inc. During the year, Southampton reports net income of $985,000 and Providence receives $675,000 of cash dividends from Southampton. At the end of the y...
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Which of the following business operations has both product and period costs? a. A dry cleaner b. A retail watch company c. A department store d. A car manufacturer e. A human resources consultant
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Which of the following would give you the highest liquidity? a. Cash flow to equity b. Cash flow from financing activities c. Cash flow from investing activities d. Cash flow from operating activities
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The shareholders' equity section of Time Company's comparative balance sheets for the years ended December 31, 2016, and 2015, reported the following data: ($ in millions) 2016 2015 Common stock, $1 par per share $612 $600 Paid-in capital - excess of par 348 300 Retained earnings 628 600 During 2016, Time declare...
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If the marginal cost curve is below the average variable cost curve, then: A) average variable cost is decreasing. B) average fixed cost is increasing. C) average total cost is increasing. D) none of the above
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How do you use the l'Hospital's Rule to find the limit of (lnx)/(1/x) as x->0 from the right?
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The stock of UCD has just been sold in an initial public offering at a price of $165 per share. One week after this offering, the stock has risen to $195. You believe the stock will rise to $225 over the coming year. You expect UCD to pay a $15 dividend during the coming year. If you require a rate of return of 30%, do...
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You expect that stock will have a year end dividend of 5.00 dollars. You expect the stock price to decline to 80.00 dollars at year end. If your required rate of return is 12%, what price should you be willing to pay for the stock?
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Presented below is information related to Dino Radja Company. Date Ending Inventory (End-of-Year Prices) Price Index December 31, 2011 $66,300 100 December 31, 2012 140,864 124 December 31, 2013 140,012 142 December 31, 2014 159,732 153 December 31, 2015 191,565 165 December 31, 2016 228,798 171 Compute the ending in...
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Find {eq}\lim_{x\rightarrow 0^+} (\sqrt x)^x{/eq}
1
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The marginal propensity to consume (MPC) is the ratio of the change in consumption to the change in disposable income of a household. Suppose a household has a disposable income of $3,000 and a consumption of $2,100. When the household's disposable income increases to $3,500, its consumption increases to $2,550. Assumi...
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Who bears the risk if market rates fall between the time the bond is purchased and it matures? a. The investor, because interest payments will be higher than expected b. The investor, because the bond's price is expected to appreciate c. The issuer, because interest payments will be lower than expected d. The issue...
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Calculate the curl of the following vector field $$\vec F = \frac{ \vec r}{( \vec r \cdot \vec r) }$$ where $\vec r = x \hat x + y \hat y + z \hat z$ is the vector going from the origin to some point $(x,y,z)$.
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On a day-to-day basis, management of a company must make decisions on issues such as hiring and firing, promotions, and task assignments. Thus, we can say that managers have to engage in: a. strategic decision making. b. structured decision making. c. unstructured decision making. d. tactical decision making. e. o...
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Why does the SRAS curve have a positive slope? a. Because your (boring) instructor says it does. b. When P rises, people substitute away from more expensive goods and services, so SRAS decreases. c. When P rises, input prices rise, so SRAS increases. d. When P rises, the supply of money shifts right, so r decreases...
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Consider $$f(t)= \frac{1}{t} \int_{0}^t \sin(e^s) ds.$$ What is $$\mathrm{lim \ inf}_{t \rightarrow \infty} f(t)$$ and $$\mathrm{lim \ sup}_{t \rightarrow \infty} f(t)?$$
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A manager has just received the weekly payroll summaries for the first time for her company. She noticed that the cost of paying the employees was not the same as the manager expected. Which of the following might she need to consider? a. Fringe benefit costs b. Retirement contribution costs c. State unemployment ta...
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Assume a system is subject to a steady-state periodic force with an amplitude of 10 N and a frequency of 50 Hz. Determine the amplitude of the motion of a damped system with m = 100 kg, k = 10,000 N/m and c = 500 Ns/m.
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How does an increase in interest rates affect property taxes? a) Increase in interest rates leads to an increase in property taxes. b) Property taxes will not be affected by changes in the interest rate. c) An increase in interest rates leads to a decrease in property taxes. d) An increase in the rate of inflation ...
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Suppose that the number of buyers in a market increases and expectations of the price of the good indicate that its price will rise in the future. What would we expect to happen in the market? A. the equilibrium price would increase but the impact on the amount sold in the market would be ambiguous B. the equilibrium...
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The line item that would be the last one to change as production increased in the short run would be a. Direct materials b. Direct labor c. Fixed manufacturing overhead d. Variable manufacturing overhead
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Find the arc length of the curve {eq}\displaystyle y = \int_1^x \sqrt {t^2 - 1}\ dt {/eq} for {eq}\displaystyle 1 \le x \le 3 {/eq}.
4
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What's the total manufacturing costs for Jackson Industries, given they have borrowed $125,000 under a line of credit agreement, normally maintain a checking account balance of $15,000 in the lending bank (20% compensating balance), have a 10% stated interest rate on borrowed funds, and maintain inventory at 70% of the...
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Company XYZ has sales of $550,000, a net income of $34,000, and the following balance sheet: Assets 20162015 Current assets$220,000$198,000 Net fixed assets450,000525,000 Total assets$670,000$723,000 Liabilities and Equity Current liabilities$85,000$63,000 Long-term debt170,000220,000 Total liabilities$255,000$283,...
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What is the critical value for a right-tailed one-mean z-test with {eq}\alpha{/eq} = 0.01?
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How many mL of 6 M HCl(aq) will be needed to make a 200 mL of 2 M HCl(aq) solution?
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How large a sample is required to estimate to within $40 with 99% confidence, given the daily earnings distribution with a mean of $800 and a standard deviation of $400, with a probability of 0.95?
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The next dividend payment by Dizzle, Inc., will be $2.48 per share. The dividends are anticipated to maintain a growth rate of 4.5 percent forever. If the stock currently sells for $39.85 per share, what is the required return?
10.72%
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How do you find the limit of (lnx)^x as x approaches 0 from the right?
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A $50.00 case of a specialty soft drink sells for $2.50 per case in retail stores. At the current price, average weekly sales of the soft drink are 600 cases. The marketing manager for the product has estimated that for each $0.20 increase in the retail price, sales will decrease by 100 cases. Find the demand function...
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When a firm earns zero economic profit, it must have a. positive accounting profit. b. negative accounting profit. c. zero accounting profit. d. either positive or negative accounting profit.
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Indicate which of the following would tend to reduce the trade deficit: a) an increase in the exchange rate (the dollar value) of foreign currency. b) a decrease in the exchange rate (the dollar value) of foreign currency. c) a decrease in American imports of goods from countries with a fixed exchange rate. d) all ...
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Assume that Switzerland and Britain have floating exchange rates. Other things unchanged, if a tight money policy raises interest rates in Britain as compared to Switzerland. a. gold bullion will flow into Switzerland. b. the Swiss franc will depreciate. c. the pound will depreciate. d. the Swiss franc will appreci...
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At the equilibrium price, deadweight loss is: a. minimized. b. zero. c. maximized. d. equal to the equilibrium price multiplied by the quantity exchanged.
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Goods sold on account had a cost of $25,000 and a selling price of $35,000. On February 10, the customer received a 10% trade discount and $2,000 sales discount. The customer paid the bill on February 11. Assuming a perpetual inventory system, the entry on the books of Stacey Company on February 11 would include: a. A...
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Suppose the expectations theory holds, and that liquidity and maturity risk premiums are zero. If the annual rate of interest on a 3-year treasury bond is 5%, and on a 10-year t-bond is 7.15%, what is the expected one-year interest rate 3 years from today?
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Suppose that tomorrow you have three different business meetings. You have to decide what city you will go to meet them. Each city is located in a different country, and you will have to buy a ticket from your current location. Suppose that the three markets for airline travel to these three different countries are per...
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Evaluate the following iterated integral. Select the correct choice below and fill in the answer box to complete your choice. {eq}\int_0^5 \int_y^{5y} \int_0^12 \; 12 \cos \; z \; dx \; dz \; dy{/eq} A. {eq}\int_0^5 \int_y^{5y} \int_0^12 \; 12 \cos \; z \; dy \; dz \; dx{/eq} B. {eq}\int_0^5 \int_y^{5y} \int_0^12 ...
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The ratio of savings to total income is 0.4. The marginal propensity to consume is 0.75. The current interest rate is 6%. If the interest rate were to rise by 3%, investment spending would decrease by: A) 20%. B) 10%. C) 50%. D) none of the above
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In a period of falling prices, which inventory method results in the highest net income? a. FIFO b. LIFO c. weighted average
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Suppose the central bank increases the money supply. Which of the following occurs as a result of the increase in the money supply? A. The interest rate rises which leads to an increase in investment and a movement to the right along the AD curve. B. The interest rate rises which leads to a decrease in investment and...
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Explicitly show that if $$f(x)=\sum_{n=0}^\infty c_n(x-a)^n$$ for $x\in I$, then $$f^{(m)}(x)=\sum_{n=m}^\infty n(n-1)...(n-m+1)c_n(x-a)^{n-m}.$$ for $x\in I$ and for $m=0,1,2,...$.
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Suppose that you have been given the following information about the market for a particular service: P = 500 - 0.0001Q MCE = 0.0002Q One of the major producers of this service currently has market power and is charging P = $250. If this firm merges with another firm currently producing the same service, which would...
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Which one of the following provides a basis for comparing the common stock of a firm with all other similar common stocks? A. Contribution margin B. EBIT/EBITDA margin C. Operating margin D. Return on equity E. Price earnings ratio
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Weaver Company expects to incur overhead costs of $20,000 per month and direct production costs of $125 per unit. The estimated production activity for the upcoming year is 1,000 units. If the company desires to earn a gross profit of $50 per unit, the sales price per unit would be which of the following amounts? a. $...
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Find the annihilation operator for {eq}y = 7e^{-5x} + 2e^{-2x}
(D+5)(D+2)
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Which of the following is likely to impose a large excess burden? a. A tax on land. b. A tax of 24 percent on the use of cellular phones. (This is the approximate sum of federal and state tax rates in California, New York, and Florida.) c. A subsidy for investment in "high-tech" cornpones. d. A tax on soda bought i...
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A company's preferred stock pays a dividend of $2 each year and trades at a price of $25. What is the (approximate) annual rate of return on the preferred stock?
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An investor has the following investment options available: Option 1: Buy a long call with a strike price of $20 and sell a short call with a strike price of $25 Option 2: Buy a long call with a strike price of $25 and sell a short call with a strike price of $20 Option 3: Buy a long call with a strike price of $20 ...
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The typical firm in a competitive industry has a variable cost function given by {eq}\text{Vc}= 3q^{2} + 2q+ 10 {/eq} and a marginal cost function given by {eq}\text{Mc} = 6q + 2 {/eq}. The current market price is {eq}\$13 {/eq}. What is the profit-maximizing quantity for this typical firm?
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You can put $1,000 in a purple box today, and it will then pay $100 every year, forever, starting a year from now. What is the IRR of the purple box?
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