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We are given the following information for the Coleman Machine Tools Corporation. Sales (credit) $5,400,000 Cash 150,000 Inventory 1,500,000 Current liabilities 1,000,000 Asset turnover 0.90 times Current ratio 1.80 times Debt-to-assets ratio 30% Receivables turnover 6 times What is the debt ratio?
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$$A^2_{n+1}=(\frac{4A_n +2}{A_n+3})^2= \frac{16A_n^2+16A_n+4}{A_n^2+6A_n+9}$$ I must find an upper bound for $A_n^2$ which is the same for all n and greater than $A_n^2$. I have tried assuming that $A^2_{n+1} \le A^2_n \le A^2_0$ for some value of $A_0$. Thus, $$\frac{16A_n^2+16A_n+4}{A_n^2+6A_n+9} \le A_n^2$$ $$0 \le ...
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You want to buy a new sports car from Muscle Motors for $52,000. The contract is in the form of a 36-month annuity due at a 9.50 percent APR. What will your monthly payment be? a) $1,665.71 b) $1,619.58 c) $1,570.00 d) $1,652.63 e) $1,685.68
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Suppose that an asset is purchased for $2,000 on January 1, Year 0. It is expected to have a useful life of 10 years and no salvage value. If there is a 40% chance that the asset will last for only 7 years, what is the expected PW of the asset, and its annual cost, at 8% per year, compounded continuously? a. $2,052 an...
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Hite Company common stock is currently selling for $23.33. Dividends of $1.85 were paid the last dividend, and the market rate of return is 11.50%. At what rate is the dividend growing?
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Mr. Smith can afford monthly deposits of $250. If the annual interest rate is 5%, compounded monthly, how long will it take for him to reach his goal of $100,000 in his investment account? a) Less than 28 years. b) Between 28 and 33 years. c) Between 33 and 38 years. d) Between 38 and 43 years. e) More than 43 yea...
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How do you find the residue of #f(z)=z/(z^4+1)# at #z=sqrt(1+i)#?
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Which of the following market classifications does a commercial bank belong to? a. pure competition b. pure monopoly c. monopolistic competition d. oligopoly
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In February, one of the processing departments at Whisenhunt Corporation had beginning work in process inventory of $38,000 and ending work in process inventory of $15,000. During the month, the cost of units transferred out from the department was $473,000. In the department's cost reconciliation report for February, ...
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When private cost equals social cost, the market outcome is a. efficient. b. inefficient. c. P = MC is satisfied. d. not much in the way of a problem, so it is ignored. e. a and c.
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The cost of debt can be determined by: a) the coupon rate b) the yield to maturity c) using historical yields d) adding tax adjustments e) All of the above
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What is the minimum volume of 0.250 M NaOH solution required to reach the phenolphthalein endpoint in the titration of 10.0 mL of 0.100 M HCl solution?
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Assuming {eq}\displaystyle m_1 = 1 \text{ kg},\ m_2 = 1.5 \text{ kg},\ k_1 = 60 \text{ N/m},\ k_2 = 10 \text{ N/m} {/eq} for the mass-spring system shown, what will the natural frequency of vibration be in rad/s? {eq}\displaystyle \omega_n = {/eq} ........... rad/s
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In testing the hypotheses at the 5% significance level, what is the critical value? a. -1.96 b. -1.65 c. 1.65 d. 1.96 e. -2.00 f. 0 g. 2.00 h. -1.645 j. 1.645 k. -1.94 l. 1.94 m. -2.05 n. 2.05 o. -2.33 p. 2.33
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Find the flux of {eq}\displaystyle F {/eq} across the region s where {eq}\displaystyle F = \langle y, -x ,8\rangle s {/eq} is a sphere {eq}\displaystyle x^2 + y^2 = 4 {/eq}, and above {eq}\displaystyle xy {/eq} plane enclosed by the circle {eq}\displaystyle x^2 + y^2 = 4. {/eq}
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For the company to distribute the increased earnings, the company must have excess cash flow to pay dividends. This can only happen if _____. a. the company's return on capital exceeds its cost of capital. b. the company's return on capital is less than its cost of capital. c. the company has negative cash flow. d....
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The returns for A are _____ if the market goes up; the returns for B are _____ if the market goes up. a) less; less b) less; more c) more; more d) more; less
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For a normal distribution, which of the following statements is true about a 95% confidence interval on a population mean? A) 95% of the observations in the data set fall within the interval. B) Approximately 95% of the observations in the data set fall within one standard deviation of the mean. C) Approximately 95% of...
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Which of the following statements are true? 1. If $x \in \mathbb{R}$, then $x + (-x) = 0$. 2. If $x, y \in \mathbb{R}$, then $x + y = y + x$. 3. If $x, y \in \mathbb{R}$, then $(-1) \cdot (x + y) = - (x + y)$. 4. If $x, y \in \mathbb{R}$, then $(-1) \cdot (x + y) = (-1) \cdot x + (-1) \cdot y$.
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What is the most common organizational structure for small businesses, with 50 employees or fewer? a) functional structure b) divisional structure c) strategic business unit d) matrix structure
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Which of the following activities is an example of a financing activity? a. Purchase of land by issuing stock b. Payment of cash dividends c. Purchase of land for cash d. Purchase of inventory for cash
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Give an example of a plane curve x=x(t), y=y(t) with $\frac{dy}{dx}\ne 0$ everywhere but with $\int_C \frac{dy}{dx}ds=0$.
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Roberts Corporation uses a job-order costing system with a single plantwide predetermined overhead rate based on direct labor hours. The company based its predetermined overhead rate for the current year on 24,000 direct labor hours, a total fixed manufacturing overhead cost of $192,000, and a variable manufacturing ov...
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What is the present value of a $150 payment to be made in year 9 when the discount rate is 14%?
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I was working on a Fourier analysis problem, and I'm left with this integral: $$\int_{0}^{\infty} \frac{\sin(\alpha x)}{\alpha x} e^{-\alpha x} d\alpha$$ Can I use Laplace transform tables to evaluate it, like they do in these notes?
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You plan to borrow $20,000 at a 3.5% annual interest rate. What will be your end-of-the-year payment for a 3-year loan with equal end-of-the-year payments?
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Consider an asset that costs $783,000 and is depreciated straight-line to zero over its nine-year tax life. The asset is to be used in a five-year project, at the end of the project, the asset can be sold for $182,000. If the relevant tax rate is 30%, what is the after-tax cash flow from the sale of this asset? (Do no ...
$231,800
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Assume that there is an oligopoly consisting of firms of different sizes. If a small firm increases output by 25 percent, the price effect realized by the small firm will be _____. If a large firm increases output by 25 percent, the price effect realized by the large firm will be _____. a. nonexistent; negligible, b....
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Find $$\lim_{n\rightarrow \infty}\int^1_0 \arcsin \sqrt n \sqrt {nx}\sqrt {1-x^2}\ dx$$
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If the elasticity of demand for U.S. manufactured goods is -2.0, a $1 increase in the tariff rate on imported steel will: A. decrease domestic consumption by twice as much as U.S. imports of steel. B. increase domestic consumption by twice as much as U.S. imports of steel. C. decrease domestic consumption by more th...
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Which one of the following is not a benefit of enzyme hydrolysis of penicillin/cephalosporins: a) Elimination of alcohol solvents. b) Reduced costs. c) Neutral pH reactions and ambient temperatures. d) Improved yields. e) All variants can be hydrolyzed easily.
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A firm has a debt ratio of 20 percent, a total assets turnover of 0.50, and an ROE of 14 percent. The management wants to improve the firm's ROE by reducing its debt ratio to 10 percent and increasing its total assets turnover to 1.30. The company's net profit margin will remain the same. What will the ROE be after the...
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A $1-per-gallon tax on the sale of gasoline will raise the price by $1 per gallon if a. the demand is perfectly elastic. b. the demand is unit elastic. c. the supply is perfectly elastic. d. the supply is perfectly inelastic.
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Alton, Inc. can produce 100 units of a component part at a cost of $27 per unit. A supplier offers to provide 100 units of the component for $30 each. Alton will accept the supplier's offer only if it eliminates none of its fixed costs. Alton's alternative is to rent the capacity needed to produce the component at a co...
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The president of a local manufacturing firm is considering expanding production to another city. He wants to sign a two-year lease and is wondering if he should pick a city close to the current facility or a city that is close to the largest market for the firm's product. The president hires an economic consultant to d...
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Find the Laplace transform of: {eq}\displaystyle f (t) = e^{-3 t} u_2 (t) {/eq}.
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Today, the one-year interest rate is 2.00% in the U.S. and 3.70% in Germany. Suppose you borrow 1,000,000 euros today at the German interest rate. Over the course of the year, the euro appreciates against the dollar by 2.60%. What is the total amount of your dollar loss from both the interest rate and the exchange rate...
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If the wage elasticity of demand for professors is {eq}\displaystyle -0.5 {/eq}, then an increase in the wage of professors from {eq}\$45,000 {/eq} to {eq}\$55,000 {/eq} will cause the quantity demanded to fall by how many percentage?
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Meyers Corporation had the following inventory balances at the beginning and end of November: November 1November 30 Raw materials$40,000$18,000 Finished goods$110,000$75,000 Work in process$16,000$25,000 During November, $85,000 in raw materials (all direct materials) were drawn from inventory and used in productio...
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I need to show that $$ \int_0^\infty \frac{\sin{(y \sqrt{x})}}{(\sqrt{x})^3} dy = \delta (y) $$ Given that $ \int_0^\infty \sin{(y \sqrt{x})} \frac{1}{y}dy = \pi \delta (x) $ How can I proceed to show that $$ \frac{1}{(y\sqrt{x})^2} \int_0^\infty \sin{(y \sqrt{x})} \frac{1}{y}dy = \delta (y) $$
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Which of the following statements is incorrect? a. The Treasury must buy bills in the amount of the deficit and hence enters on the demand side of the bond market. b. The national debt is equal to the dollar amount of outstanding Treasury bills and bonds. c. When the Treasury sells bonds, the supply (of bonds) incre...
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Let X be distributed N(3,1) and let Y be distributed N(4,1). We know P(X>Y)=0.24. Suppose that X and Y are independent. Find k such that P(X+Y>k)=0.24.
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In its most recent financial statements, Winterburn Co. reported 23 million dollars of net income and {eq}80 {/eq} million dollars of net cash flow from operating activities. The tax rate was {eq}35 {/eq} percent. The company's financial statements also disclosed that the total after-tax cost of long-term debt was {e...
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Which of the following does NOT respond to changes in interest rates in the same way as bonds? a) fixed rate mortgage b) bank loans c) corporate bonds d) government bonds
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On a certain date, Kastbro has a stock price of $37.50, pays a dividend of $0.64, and has an equity cost of capital of 8%. An investor expects the dividend rate to increase by 6% per year in perpetuity. He then sells all stocks that he owns in Kastbro. Given Kastbro's share price, was this a reasonable action? A) No, ...
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Which of the following is true of long-term debt? A) is usually more expensive than short-term debt. B) involves higher flotation costs than short-term debt. C) has a less stable interest cost than short-term debt. D) has a lower interest rate than preferred stock.
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Which of the following would cause both the equilibrium price and equilibrium quantity of number two grade potatoes (an inferior good) to increase? a. an increase in consumer income b. a decrease in consumer income c. greater government restrictions on agricultural chemicals d. fewer government restrictions on agri...
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Approximate the indicated binomial probability using the normal distribution as a continuity correction, and determine that the normal distribution provides a good approximation. n = 100, p = 0.6, P(x \leq 73). The probability that fewer than or equal to 73 people suffer from one or more of the conditions is approximat...
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What is the after-tax cost of debt for a company whose debt has a beta of 0.7, the risk-free rate is 6.2%, and the market risk premium is 7%? The tax rate is 34%.
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Peanut butter and jelly are complements in consumption. Assuming that the supply curve of peanut butter is upward sloping, if there is a decrease in the price of jelly, producer surplus in the peanut butter market: a. will decrease. b. will increase. c. will not change. d. may change, but it is impossible to tell w...
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How large a sample would the researcher need to take to estimate the mean blood cholesterol to within 9 mg/dl with a 90.1% confidence interval, given a standard deviation of 35 mg/dl and a Normal distribution for young men ages 15-25?
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If psychologists estimate that eighty percent of male drivers when lost continue to drive rather than asking for directions, what is the probability that, in a random sample of 100 lost male drivers, the proportion who continue to drive is less than 0.85?
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Hotteas Inc. pays 65% of sales commissions based on annual sales of $500,000. The sales manager is paid a bonus of 20% of commissions. The company manufactures, markets, and distributes hot teas. Hotteas has two types of products: Hot teas and Iced teas. The products are subject to different rates of commission. Hot...
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Assume you receive $8,000 in five years and the annual interest rate is three percent. Using the present value formula, how much is that amount worth in today's dollars? a. $7,250.00 b. $6,930.42 c. $10,832.80 d. $8,000.00 e. None of the answer choices is correct.
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Which is not a correct statement? (a) Profit maximization does not necessarily coincide with consumer satisfaction. (b) The benefit of reduced price to additional customer is greater if the price reduction is small. (c) The higher the price, the greater the elasticity of demand. (d) Demand for a product with a few ...
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For Country A to experience economic growth, which of the following must occur? A) aggregate demand in Country A must shift left. B) aggregate demand in Country A must shift right. C) aggregate supply in Country A must shift right. D) aggregate supply in Country A must shift left.
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Let $Q_n(x) = (x^2-1)^n$ and $P_n(x) = Q_n^{(n)}(x)$. Using Rolle's theorem, prove that $P_n$ has exactly $n$ roots.
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Accurate Numbers, Inc. issued $100,000 of 10-year, 12% bonds dated April 1, 20X1, for $102,360 on April 1, 20X1. The bonds pay interest on April 1 and October 1. Straight-line amortization is used by the company. Required: What entry is needed at October 1 for the first interest payment? a. Interest expense118 Cas...
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If the Federal Reserve decreases money supply, then... a) The money supply curve will shift up and interest rates will increase b) The money supply curve will shift up and interest rates will decrease
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How would you show that $\lim_{n \to \infty} n^k x^n =0$ if $x>1$?
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Hennigan Company developed the following results for 2011: Cash sales$71,000 Credit sales$235,000 Cash paid to suppliers$142,000 Cash paid to employees$36,000 Cash paid for interest$8,000 Cash paid for income taxes$16,000 Depreciation$20,000 Additional information about Hennigan includes: 1. Collections from credit ...
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The management of a company is considering the replacement of an existing piece of equipment. The current asset is operating at capacity and will last for five more years. The book value of the equipment is $10,000, and it can be sold on the open market for a market value of $2,000. The new equipment will cost $35,000....
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The Alpha company produces toys for national distribution standard for a particular toy are; Materials: 10 ounces per unit at per ounces Labor: 2 hours per unit at $2.75 per hour During the month of December, the company produced 600 units. Information for the month: Materials: 15,200 ounce were purchased and used ...
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A financial lease that meets purchase criteria should be treated on the books of the organization as: a. an asset. b. a liability. c. a current operating expense. d. A and B. e. none of the above.
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Consider a t distribution with 30 degrees of freedom. Determine the value of c such that P(-c < t < c) = 0.99.
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Consider the following statements about the statement of cash flows (SCF): i. The firm's net cash flow from operating activities is equal to the firm's net income. ii. The amounts of cash generated by operating activities depend primarily on the amounts of sales and expenses, not on the accounting method used. iii. ...
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Consider a t distribution with 10 degrees of freedom. Find the value of c such that P(t ≥ c) = 0.05. Round your answer to at least three decimal places.
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Your company is considering a project that will require a $21,000 investment today. Project analysts have estimated that the project will produce a net cash inflow of $4,780 at the end of year 1, $5,830 at the end of year 2, $7,980 at the end of year 3, and $6,530 at the end of year 4. Based on the internal rate of r...
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Mystical Corporation found the following errors in their year-end financial statements. As of Dec. 2012 As of Dec. 2013 Ending Inventory $32,000 understated (2012) $46,000 overstated (2013) Depreciation Exp. $7,000 understated (2012) On December 31, 2013, a fully depreciated machine was sold for $35,000 but the sale w...
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For a monopolist, the consumer surplus is: A) larger than under perfect competition because prices are lower. B) larger than under perfect competition because more output is produced. C) smaller than under perfect competition because prices are higher. D) smaller than under perfect competition because less output i...
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Suppose the United States (U.S.) is the only major country that imposes a 20 percent import tariff on goods produced elsewhere in the world and the U.S. represents 20 percent of the world market. Assume that the world price of these goods is $10 without the U.S. tariff. Which of the following statements is true of this...
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The total book value of WTC's equity is $10 million, and book value per share is $25. The stock has a market-to-book ratio of 1.5, and the cost of equity is 14%. The firm's bonds have a face value of $6 million and sell at a price of 110% of face value. The yield to maturity on the bonds is 7%, and the firm's tax rate ...
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At the end of the fiscal year, any overapplied or underapplied overhead is: A. Transferred to the cost of goods sold account in an adjustment. B. Shown on the balance sheet as either a deferred charge or a deferred credit. C. Allocated to cost of goods sold, finished goods inventory, and work in process inventory. ...
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Find the volume of the region bounded above by {eq}z = 2x + 5y{/eq}, below by {eq}z = x + y{/eq}, and lying over the region {eq}D = [0, 3] \times [0, 2]{/eq}.
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The single milling machine at Fred's Manufacturing was severely overloaded last year. The plant operates 8 hours per day. 5 days per week, and 50 weeks per year .Management prefers capacity cushion of 20 percent. Two major types of products are routed through the milling machine. The annual demand for product A is 400...
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Peterson Company has 20,000 shares of $1 par value common stock outstanding. It also has 2,000 shares of treasury stock, purchased for $5.00 per share. The annual net income is $80,000. What is the amount of earnings per share? A. $4.00 B. $3.89 C. $3.85 D. $3.80
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An investment portfolio contains bonds with a duration of 4 years and stocks with a duration of 8 years. The portfolio manager plans to increase the portfolio's duration from 4 years to 15 years over the next year. Currently, bonds make up 20% of the portfolio. If the portfolio manager continues in this manner and make...
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With respect to materials quantity variances, which of the following statements is true? a. Variances are most often the result of higher than expected prices. b. Variances are most often the result of the mixing of poor and high-quality raw materials. c. Variances are most often the result of decreased usage of raw...
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Let f(t)=6cos(2t), compute the integral I= ∫^π_f(t)sin(2t)dt
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Grill Works and More has 6 percent preferred stock outstanding that is currently selling for $53 a share. The market rate of return is 8 percent and the firm's tax rate is 35 percent. What is the firm's cost of preferred stock? a. 11.32 percent b. 6.79 percent c. 7.47 percent d. 10.29 percent e. 9.30 percent
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The expected time until the shopping center is completed is estimated to be 15 months, with a standard deviation of 5 months. What is the probability that the renters will not be able to occupy in 18 months?
0.2743
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Divide $100,000 between two investments. One pays 9% interest, and the other pays 10.5% interest. How much should be invested in each one so that the interest from the two investments total $9,975? a) $49,750 at 9%, $50,250 at 10.5% b) $49,500 at 9%, $50,500 at 10.5% c) $47,000 at 9%, $53,000 at 10.5% d) $19,750 at...
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If you invest {eq}\$1,000{/eq} at an annual interest rate of {eq}10\%{/eq} compounded quarterly, how much money will be in your account at the end of {eq}1{/eq} year?
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How do you integrate #int (1+1/t)^3*1/t^2# using substitution?
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A one-line sewage treatment plant service area that is 1.00 mi² has 63 homes, each producing 280 gpd. Assume that wastewater treatment and disposal costs $2.35 per capita per day. Determine the cost in $ per month for wastewater treatment and disposal.
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The magnitude of the total differential of a function $z(x,y)$ at a point $(x_0,y_0)$ is best described as: a. The change in $z$ when $x$ and $y$ change from $(x_0,y_0)$ to nearby points. b. A linear function in $x$ and $y$ with the property that the magnitude of its value at $(x,y)$ is maximized at $(x_0,y_0)$. c. ...
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Let {eq}\mathbf{F} = \left \langle x,y,z \right \rangle{/eq}. Let {eq}S{/eq} be the surface of the solid bounded by the paraboloid {eq}z = x^2 + y^2{/eq} and the plane {eq}z = 4{/eq}. Find the flux of {eq}\mathbf{F}{/eq} across {eq}S{/eq} using the formula {eq}\displaystyle \iint \limits_{S} \mathbf{F} \cdot \mathbf{n}...
24 pi
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Find the distance between the two lines: $x=2+t\;,\;\; y=1+6t\;,\;\; z=2t$ and $x=1+2s\;,\;\; y=6+14s\;,\;\; z=-1+5s$.
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XYZ common stock is expected to pay a dividend of $2.55 next year, and that dividend grows at a constant rate of 1.8%. If the current price of XYZ common stock is $25.02, then what is the expected rate of return for this stock, based on the Discounted Cash Flow model?
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I know that if $\theta$ = 0.4 then $f(y|\theta =0.4) = 0.4^8 \times (1-0.4)^{5-8}$ and similarly if $\theta = 0.8$ then $f(y|\theta = 0.8) = 0.8^8 \times (1-0.8)^{5-8}$. How do I go about combining these two probabilities to find the posterior distribution $p(\theta|Y)$?
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You are the CFO of a company and the chairman of the board is asking you to maximize the return to the stockholders. The company's current ROE is 15%. The company's after-tax cost of debt is 5.2% and they have no debt. They can borrow at this cost of debt if they want to. The tax rate is 40%. Given this, you should: A...
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What is the current ratio for 2011, given the following information for Whittier Inc.: Income Statement for 2011: Sales = $250 (all on credit) Costs = $150 Tax rate = 34% Depreciation = $20 2011 Balance Sheets: 2010 2011 Current assets: Cash = $25 $20 Accounts receivable = $50 $55 Inventories = $100 $120 Total ...
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If a random sample (with replacement) n = 100 customers is selected from a normal distribution with a mean of $87.00 and a standard deviation of $36.00, what is the expected difference between the sample's mean and the population mean just due to random chance?
$3.6
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Sally's Salads prepares and sells gourmet salads. It has an annual fixed cost of $100,000 and a variable cost ratio of 30%. This month, it plans to sell 200,000 salads at $4.50 each. How many salads should be sold in order for Sally's Salads to break even? a) 88,889 b) 250,000 c) 111,111 d) 333,333
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A $1 million commercial loan from the bank to a company in your city is being made. The company has agreed to use the proceeds to make a competitive bid to purchase an industry asset that is expected to generate excess returns for the firm for the foreseeable future. The loan will be a 5-year term, with payments due mo...
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What is the present value of $150 received at the beginning of each of the next six years, discounted at 15 percent? a. $342.08 b. $417.08 c. $360.00 d. $564.42 e. $420.21
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A bank is considering a $200 million investment in a new project. Given its current capital structure, the project will lower its current beta from 1.0 to 0.8. The risk-free rate is 6%, the market risk premium is 9%, and the tax rate is 36%. The debt and equity markets are competitive and frictionless. Determine the ma...
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Which of the following is usually NOT considered to be a typical department or function in a business? a) marketing b) accounts payable c) data processing d) treasury e) human resources
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Determine the effect of the following transaction on the total assets and the current ratio of a particular company: Purchase of non-current asset for cash. Assume that the current ratio is greater than 1. a. Increase b. Decrease c. No effect d. Insufficient Data
b
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Find the elasticity of demand for the following demand function at each of the given prices, and determine whether demand is elastic or inelastic at that price. Determine the prices at which the demand is of unitary elasticity. {eq}p=400-5x{/eq} at prices $250 and $200
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