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$$\lim_{x \to \infty }\left(1 - \dfrac{3}{x}\right)^{x}$$ Why can't we just evaluate it as $1^{\infty}$, which is an indeterminate form and equals 0, instead of getting $e^{-3}$?
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What is the beta of the following portfolio? Investment Stock A Stock B Stock C $2,000 $1,000 $3,000 1.20 -1.30 1.60
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The demand and supply functions for a product are {eq}p = q^2 {/eq} ; {eq}p = 225 - 2q^2 {/eq} where {eq}p {/eq} is the price per unit, in dollars, and {eq}q {/eq} is the number of units. Determine the consumer surplus at the equilibrium point. Show your work.
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Consider the system of equations, \begin{align} 0&=a-\mu(p-b)y+c\dot{y}\\ 0&= \alpha-(1-\mu)(p-b)y-\sigma \dot{y}\end{align} where the parameters are positive $\alpha, \sigma, \mu, b,c>0$. Is it possible to solve this system for $\dot{y}$ and $y$?
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Pango Company is preparing its budgeted income statement for 2017. Relevant data pertaining to its sales, production, and direct materials budgets are as follows. Sales: Sales for the year are expected to total 1,000,000 units. Quarterly sales are 22%, 23%, 27% and 28%, respectively. The sales price is expected to be ...
$26.70
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A company's net operating income increased by $28,000 when it increased its sales revenue by $140,000. Operating assets increased by $40,000 and operating expenses increased by $20,000. Which of the following is the most likely explanation of the change in net operating income? a. Fixed expenses are decreasing as a pe...
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In a study of police gunfire reports during a recent year, it was found that 2.10% of the reports contained errors of one kind or another. If a random sample of 90 police gunfire reports is selected, what is the probability that less than 3% of them contain errors?
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A firm currently pays $1.20 per share in dividends and expected to pay $1.40 per share next year. If the stock price is $12.50 and the dividend growth rate is expected to remain constant, what is the expected rate of return of the stock?
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Retail and wholesale firms tend to be: A. firms with high levels of inventory and accounts receivable turnover. B. net users of trade credit. C. net suppliers of trade credit. D. None of the above
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At the end of its first year of operations, December 31, 2012, Darden Corporation reported the following information. Retained earnings January 1, 2012 $60,000 Net income for 2012 90,000 Dividends declared 2012 30,000 A review of the company's records shows that the following errors were made in recording events in...
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Calculate the flux of the field $$F=(x+y)i+xyj$$ across the closed plane curve {eq}C{/eq}, where the curve {eq}C{/eq} is the closed counterclockwise path around the rectangle with vertices at {eq}(0,0),(5,0),(5,8),(0,8){/eq}.
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Guthrie Industries recently paid a dividend of $3.30. Its earnings per share were $8.90, and its market price per share is $50.90. Its stock has a beta of 1.1. The market risk premium is 7.5%, and the risk-free rate is 5%. Guthrie will retain 40% of its earnings, and its return on equity is 14%. Using the constant gro...
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A firm is evaluating an investment proposal with an initial investment of $5,000 and cash flows presently valued at $4,000. The net present value of the investment is - $1,000. Which of the following is true? a. The discount rate is greater than the internal rate of return. b. The internal rate of return is greater t...
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One hundred fifty randomly selected people were asked, "Do you prefer to have a future partner choose flowers, or do you prefer to choose the flowers yourself?” Of the 150 respondents, 90 preferred to have a partner choose the flowers. Based on a 90% confidence interval, which of the following statements is a valid int...
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The optimal level of a positive externality is where A) the marginal private cost equals the marginal private benefit. B) the marginal private cost equals the marginal social cost. C) the marginal private benefit equals the marginal social benefit. D) the marginal private cost equals the marginal social cost and the ma...
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Consider a firm that produces using only labor and capital. Its marginal rate of technical substitution (MRTS) is currently -2. It pays its labor $5 per hour and its capital $2 per hour, and its current marginal product of capital is 4. What is the marginal product of labor (MPL) at this production point?
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Which of the following companies is likely to have a higher beta, and thus a higher cost of capital? a. An auto manufacturer, who runs an assembly line, with union workers b. A "high-tech" auto manufacturer, with a fully automated line, requiring only a handful of non-union workers.
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How can I prove the identity $$\frac{d^2x}{dt^2} = \frac{d^2x}{du^2} \frac{du}{dt} + \frac{d}{dt} \frac{dx}{du} \frac{du}{dt}$$ given that $\frac{dx}{du} \frac{du}{dt} = \frac{dx}{dt}$?
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Morvan Corporation just paid a $3.00 per share dividend and plans to pay $3.30 per share and $3.63 per share next year and the year after that, respectively. If you can sell the stock for $100.00 in three years, what is your expected rate of return on the stock?
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Managers at Widget Corp., a television manufacturer, are engaged in a planning exercise. During one dummy activity, managers generated different future situations along with development of response strategies. One of the assumption by them was, the demand for their 15 inch televisions will reduce by 30% in the next dec...
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Benjamin Company has two departments. Information for these departments is given below. Units in the beginning WIP 1,000 units, 30% complete for direct material, 60% complete for conversion costs. For March 3, 2018: Direct Material Conversion Cost Units completed and transferred out du...
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On its December 31, 2012, balance sheet, Hasaka Co. reported $150,000 of accounts receivable, its entire inventory of $250,000 was sold on account, and its accounts payable was $80,000. During January of the following year, the month of January was very warm and the demand for its products was very low. It had a Decemb...
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What is the p-value (to 4 decimals) for the hypothesis test {eq}H_0 \, : \, \mu \leq 27 ; H_a \, : \, \mu> 27, given a sample of 40 with a sample mean of 28.4 and a population standard deviation of 5?
0.0384
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To develop self-awareness, leaders should use: A) assessment centers. B) 360-degree feedback. C) coaching. D) mentoring.
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A money-weighted rate of return on a portfolio that is 6% is inferior to a time-weighted rate of return on the same portfolio that is 8% because: a. The money-weighted return takes into account cash flow infusions or withdrawals, while the time-weighted rate does not. b. The money-weighted return uses daily returns i...
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Which of the following statements is incorrect? a. A differentiation strategy can involve goals of service, cost, product features, or some combination of the three. b. If a company wants to expand its market in the long run, it must first achieve short-run profitability. c. A company with an overall corporate strat...
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One way to encourage people to spend more on preventative health care is to reduce the price of health care to consumers by decreasing the health insurance copayment. At current copayment levels, if the price elasticity of demand for visits to see the doctor is -0.25, by what percentage will the quanity demanded of doc...
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Assume that your stock portfolio consists of $25,000 of City Steel stock and $35,000 of Rent-N-Co (these are your only holdings). Your portfolio's beta is 1.25. City Steel's beta is 3.50 and Rent-N-Co's beta is .75. What is the beta of your portfolio?
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You have to opportunity to get a check for $1 million 50 years from now or get an annual check for $2,000 for the next 50 years. Which should you choose if you knew you could earn 7.5% on invested funds? A. the $1 million dollars in 50 years B. $2,000 today C. She should be indifferent. D. Need more information.
A
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A large European firm is considering investing in a new project in the United States, Japan, or Brazil. The expected rates of return on the three projects are sensitive to exchange rate movements. Returns on the U.S. and Brazilian projects are negatively correlated with exchange rate movements and returns on the Japane...
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_____ were the first to measure and classify speech errors. a. Stevens and Lehmer b. Schouten and Wittinghoff c. Goode and Henley d. Harris and Hohmann
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In 2016, Ethical, Inc., purchased 100% of the outstanding stock of Warranty Corp. for $500,000. On that date, Warranty had the following balance sheet: Assets $1,000,000 Liabilities 500,000 Common stock 300,000 Additional paid-in capital 150,...
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Loring Company had a work-in-process inventory of $250,000 and a finished goods inventory of $350,000 on January 1, 2012. During 2012, the company incurred manufacturing costs of $720,000 and completed and sold 500 units of product. What is the amount of cost of goods sold if Loring uses the average cost method to assi...
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Suppose a stock has just paid a $1.50 dividend per share and the required rate of return on the stock is 10%. If the dividend is expected to grow at a constant rate of {eq}g {/eq}, what growth rate will cause the stock's price to be $30 per share?
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Use the limit process to find the area of the region bounded by the graph of the function {eq}f(x) = 4x+1{/eq} and the {eq}x{/eq}-axis over the specified interval {eq}\left[0,1\right]{/eq}.
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How do you use the first part of the Fundamental Theorem of Calculus to find F'(x) given F(x)=int sin(t^3) dt from 4 to x^3?
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Hess company experienced the following costs and output for last year. Actual Static Budget Units produced 1,000 units 800 units Direct materials $6,000 $5,000 Conversion costs $8,000 $8,800 Total costs $14,000 $...
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Stanton Company purchased a new vehicle for $48,000 and will depreciate it over the next five years at a rate of 20% per year. Their marginal tax rate is 40%. What is the after-tax cost of the vehicle to the company? a. $38,400 b. $33,600 c. $19,200 d. $28,800 e. None of the above.
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ABC's began operations on January 1. It uses a perpetual inventory system. During January, the company had the following purchases and sales: Date Units Unit Cost Unit sold January 1 5 $230 January 10 3 January 15 3 $234 January 20 5 January 27 2 $238 January 30 2 A physical count of inventory on January 31 rev...
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Cullumber, Inc. issues its bonds at a premium. At the end of the first interest payment, the amount of the carrying value of the bonds will: a. be equal to the face value of the bonds. b. be equal to the present value of the interest payments only. c. be less than the face value of the bonds. d. be equal to the fut...
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Approximate {eq}\displaystyle \int^4_0 x^3 \ dx{/eq} using the Midpoint Rule with {eq}n = 2{/eq} rectangles. Simplify your answer as much as possible. (Do not use the Fundamental Theorem of Calculus.)
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What is the probability that a financial manager earns more than $51 per hour, given that the mean hourly pay rate for financial managers in the East North Central region is $48.93 with a standard deviation of $2.76 and pay rates are normally distributed?
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At the time of a sale of merchandise to a customer, which of the following statements is true? A. The sales price of the merchandise equals its cost. B. The amount received equals the selling price of the merchandise. C. The amount received equals the amount recorded as sales revenue. D. The cost of the merchandise...
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Which of the following is most likely true for a typical firm? a) The market value of equity is equal to its book value. b) the cost of debt is generally more expensive than the cost of equity. c) The weighted average cost of capital increases as the firm increases the proportion of equity in its capital structure. ...
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Suppose that B2B, Inc., has a capital structure of 37 percent equity, 17 percent preferred stock, and 46 percent debt. Assume the before-tax component costs of equity, preferred stock, and debt are 14 percent, 9 percent, and 7.5 percent, respectively. Required: What is B2B's WACC if the firm faces an average tax rate ...
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Which of the following kinds of monopoly represent a market failure? A. a monopoly due to a patent or copyright B. a monopoly due to economies of scale. C. a monopoly due to a governmental license for only one firm to operate D. all the above
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Bob is a resident of Ohio and borrows $50,000 from a bank in New York. When he defaults on the loan, the bank sues Bob in federal court. The federal court has: a) in rem jurisdiction. b) no jurisdiction. c) concurrent jurisdiction. d) diversity jurisdiction.
d
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Use Stokes' Theorem to evaluate ∫c F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y2)i + (y + z2)j + (z + x2)k, C is the triangle with vertices (5, 0, 0), (0, 5, 0), and (0, 0, 5)
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How do you find the limit of (x^4 - 3x^3) / (x^(3/2)) as x approaches 0?
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Select the correct option to complete the sentence. Electra, Inc. is a company in an advanced stage of internationalization. It has little allegiance to its country of origin, decentralized operations, relatively independent business units, and weak ties to any given country. This company is most likely in stage _____...
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Beta Corp. planned and actually manufactured 180,000 units of its single product in 2015, its first year of operation. Variable manufacturing cost was $18 per unit produced. Variable operating (nonmanufacturing) cost was $7 per unit sold. Planned and actual fixed manufacturing costs were $1,300,000. Planned and actual ...
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Consider the integral $$I=\int_0^\infty\frac{\sin(a\sin(x)-b\sin^{-1}(x))}{(\sin x)x}\mathrm dx\tag1$$ for $a,b\in\mathbb{C}$. What is the connection between $(1)$ and $$\int_0^\infty\frac{\sin(a\sin(x)-b\sin^{-1}(x))}{x}\mathrm dx\tag2$$ (whose closed form is known)? What does it take for $a,b\in\mathbb{C}$ to ensure ...
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Find the inverse Laplace transform of the function {eq}\displaystyle \frac 1s {/eq}.
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During the month of May, gross earnings were $2,450, net earnings were $1,320, employer payroll taxes were $270, and employees' portion of payroll taxes withheld was $189. The entry to record the employer's payroll tax expense is which of the following? a. Debit Payroll Tax Expense for $335.5 and credit FICA Taxes Pay...
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Zippy Corporation uses the high-low method to predict overhead costs each month. The variable rate is calculated to be $12 per machine hour. Actual machine hours were 8,200 during January and 8,600 during February. Overhead costs during January were $95,440 and $101,480 during February. What is the estimated fixed over...
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The following statements concerning inventory cost and physical flow are correct, except: a. Manufacturing costs include direct material, direct labor, and manufacturing overhead. b. LIFO generally results in a higher net income than FIFO when costs are increasing. c. Material handling, as an example, is a manufactu...
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You want to have $100,000 in your savings account 8 years from now, and you're prepared to make equal annual deposits into the account at the start of each year. a. If the account pays 6.6 percent interest per year, what amount must you deposit each year? b. If you make deposits at the end of each year, how much must...
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Sports Corp has 8.2 million shares of common stock outstanding, 5.2 million shares of preferred stock outstanding, and 1.7 million bonds. If the common shares are selling for $23.2 per share, the preferred share are selling for $13.1 per share, and the bonds are selling for 95.61 percent of par, what would be the weigh...
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A Gaussian surface in the shape of a right circular cylinder with end caps has a radius of 17.6 cm and a length of 114 cm. Through one end there is an inward magnetic flux of 25.2 Wb. At the other end, there is a uniform magnetic field of 1.92 mT, normal to the surface and directed outward. What is the magnitude of the...
25.2 Wb
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Cost of debt. Meston, Inc. is planning to borrow $600,000. Purdue Bank will give the company a 9-year loan at an 11 percent interest rate. The funds will be amortized over the life of the loan. In addition, the firm will make an annual interest payment of 10 percent of its taxable income. The company is in the 35 per...
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If the pound sterling appreciates against the U.S. dollar, England buys _____ U.S. goods, causing the U.S. aggregate demand curve to shift to the _____. a. fewer; right, b. more; left, c. fewer; left, d. more; right.
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The concept of interperiod equity relates to whether: A) Current period revenues are sufficient to pay for current period services. B) Current assets are larger than current liabilities. C) The organization enforces a policy of tax equity. D) All of the above.
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At the maturity of a $10,000 note receivable, Total Company received $12,200 cash. The note had a 9% discount rate and a 6% interest rate. The cash was for the full amount of the note. How much of the $12,200 will Total report in its income statement as interest income? a) $1,800 b) $2,200 c) $2,016 d) $1,772
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Dividend = $5.00 k = 14% Growth = 4% What is P0?
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Swifty Co. provides for doubtful accounts based on 3% of gross accounts receivable, The following data are available for 2017. Credit sales during 2017$1,746,000 Bad debt expense$58,920 Allowance for doubtful accounts 1/1/17$17,720 Collection of accounts written off in prior years (customer credit was reestablished) ...
$52,850
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ABC Inc. is interested in minimizing their inventory cost. If the annual demand is estimated at $1,000,000 units, the ordering costs is $75 per order, the holding cost is $0.25 per unit, and the lead time for ABC Company was given as 2 days, what is the reorder point? A. 8,000 units. B. 24,500 units. C. 16,500 units...
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Which of the following statements is CORRECT, assuming positive interest rates and other things held constant? a. A 5-year, $250 annuity due will have a lower present value than a similar ordinary annuity. b. A 30-year, $150,000 amortized mortgage will have larger monthly payments than an otherwise similar 20-year mo...
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For a sphere of radius r = 5.00 cm and a prolate spheroid with equal short axes of length 2a = 5.00 cm and focal length c = 8.00 cm, the electric field amplitude of a converging light wave is {eq}E_0 {/eq} = 900 V/m. Calculate the amplitude of the electric field of the light wave after the sphere is placed in front of...
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Which of the following pairs of actions suggest that fiscal policy and monetary policy are working in the same direction? a. taxes are lowered and the discount rate is raised b. government spending increases and the Fed sells bonds on the open market c. government spending and taxes increase by the same amount and t...
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A 2.00 mL ampule of a 0.130 M solution of naphthalene in hexane is excited with a flash of light. The naphthalene emits 27.0 J of energy at an average wavelength of 349 nm. What percentage of the naphthalene molecules emitted a photon?
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According to middle-of-the-roaders, a firm's value is not affected by its dividend policy because: A. of the clientele effect B. of the tax loopholes available to wealthy stockholders C. well-managed companies prefer to signal their worth by paying high dividends D. All of the above
D
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Why might "switching costs" be an entry barrier that leads to market power? a. When consumers are devoted to their brand, they do not accept price increases for it. b. Consumers lock in a low price which prevents new competition. c. Consumers bear additional costs in switching to a higher-priced brand. d. Consumers...
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Find the flux of F across S where F = (y, -x, 8) and S is the sphere x^2 + y^2 = 1, above the xy-plane enclosed by the circle x^2 + y^2 = 1.
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What is one share of this stock worth to you if you require a 16.78 percent rate of return, given that Healthy Foods just paid its annual dividend of $1.63 a share and all future dividends will be increased by 1.32 percent annually?
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A clothing manufacturer is interested in estimating the average time it takes for employees to finish a job in their cutting and sewing department. After reviewing the literature, they estimate that the standard deviation is about 1.2 minutes. What is the minimum number of employees that should be included in the sampl...
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Consider the following two projects: Cash Flow, Project X Cash Flow, Project Y Year 0 -$4,500 Year 0 -$7,000 Year 1 $2,000 $4,000 Year 2 $3,000 $2,000 Year 3 $3,000 $1,000 If the discount rate is 10%, the profitability index for project X is _____. a. 0.89 b. 0.69 c. 0.59 d. 0.49
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Consider a charge q, placed at each of the corners of a cube of side length s. Show that the magnitude of the electric field at the center of any face of the cube has a value of 2.18 kq/s{eq}^2 {/eq}.
2.18kq/s^2
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The purchasing manager purchased a large quantity of direct materials for which there was a favorable direct materials price variance of $25,000. At the same time, the production department was experiencing a large amount of spoilage in their manufacturing process and, as a result, the department reported a direct labo...
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Here is a question for a finance class: Suppose the number of arrivals of customers to a shop follows a Poisson distribution with a mean of 10 customers per hour. The manager at the shop does not want the probability that the number of arrivals in a given hour exceeds 20 to exceed 5%. How many arrivals should be allow...
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Use Lagrange multipliers to maximize the function {eq}f(x,y) = 8x + 12y{/eq} subject to the constraint {eq}2x^2 + 3y^2 = 36{/eq}.
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Schilinski Inc. is currently evaluating a project that will require $5,000 of fixed assets and $3,000 of net working capital. At the end of the project, the fixed assets can be sold for 60% of their original cost and the net working capital will be recovered. What is the amount of the initial after-tax cash flow from ...
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Find the points of intersection of the curves {eq}y=x^2+2x {/eq} and {eq}y=6-x^2 {/eq}.
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If the current balance is $14,480, and you are charging 1.4 percent per month interest on the overdue balance, how long will it take for the account to be paid off with a repayment schedule of $400 per month?
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For the differential equation, find the values of $\alpha$ that make the problem be well-posed. $$y''+\alpha y=0$$ $$y(0)=y'(0)=0$$
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Titan Football Manufacturing wants to determine the lowest cost production method. They have three methods available and different cost structures for each method. Method 1 has fixed cost of $167,000 and a variable cost of $13.00 per football. Method 2 has fixed cost of $304,000 and a variable cost of $11.00 per footba...
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Consider the series {eq}\displaystyle \sum_{n=1}^{\infty} 7 \sin(n \pi)\left( \frac {n + 4}{n^2}\right) {/eq} Which of the following statements is true? a. Diverges by limit comparison with {eq}\displaystyle \sum_{n=1}^{\infty} 7\left( \frac {n + 4}{n^2}\right) {/eq} b. Diverges by limit comparison with {eq}\dis...
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You would like to buy a car with a 5 year, $6,500 amortized loan with monthly payments. If your interest rate is 7.8% APR compounded monthly, what is your monthly payment? A. $126.91 B. $119.26 C. $131.49 D. $121.91
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How large a sample should a PepsiCo researcher select if she desires to be 95% confident that her estimate is within 0.06 of the true proportion, given a preliminary estimate of 0.40?
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Tool Manufacturing has an expected EBIT of $58,000 in perpetuity and a tax rate of 35%. The firm has $150,000 in outstanding debt at an interest rate of 8.2%, and its unlevered cost of capital is 12%. What is the value of the firm according to M&M Proposition I with taxes? (Do not round intermediate calculations and ro...
366666.67
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Evaluate the surface integral {eq}\displaystyle \iint_S xz \, ds, where {eq}\displaystyle S is the part of the plane {eq}\displaystyle 3x + 6y + z = 18 that lies in the first octant.
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Solstider Corporation makes one product and it provided the following information to help prepare the master budget for the next four months of operations: a. Budgeted unit sales for April, May, June, and July are 7,800, 13,500, 12,600, and 16,600 units, respectively. All sales are on credit. b. The ending finished g...
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In order for an adjustment to counter the risk of a restrictive short-term financial policy, management may: A. allow a longer payment period for accounts payable. B. reduce the period of time it takes to collect on outstanding receivables. C. acquire a short-term investment portfolio. D. All of the above.
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The graph shows the supply and demand in the current equilibrium. Which of the following would cause a change in the equilibrium price to the indicated new equilibrium price? A. A technological advancement in production. B. A decrease in the wage rate paid to workers in the industry. C. A government subsidy to firms...
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An alternative to the unionized workers' strike would be _____. A. a one-time wage increase and a 3% wage increase for each year of the 4-year labor contract B. a 2% wage increase for the duration of the labor contract C. a wage adjustment clause that would allow for a wage increase in response to cost increases suc...
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The current yield on Martin's Mills common stock is 3.6%. The company just paid a $1.80 dividend and plans to pay $1.86 next year. The dividend growth rate is expected to remain constant at the current level. What is the required rate of return on this stock?
7.05%
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Assuming the following data for Susan Cabinet shop, compute variable overhead efficiency variance. M N Budgeted hours per unit 10 16 Budgeted production 100 200 Actual hours per unit 13 18 Actual number of units 140 16...
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The following information is available for the month of March from the First department of the Vaughn Corporation: Units Work in process, beginning 40,000 Units started during March 203,000 Units completed during March 165,000 Units in ending work in process 78,000 Work in process, beginning $134,000 Work in pro...
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Newbie Company engaged in the following research and development activities during 2011: Materials used in R&D projects $1,660,000 Equipment acquired on December 31, 2011 for use in a future R&D project $380,000 Equipment acquired on January 1, 2011 for use in a research project. This equipment has a 10-year useful...
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Find the volume of the region between the planes x+y+z=4 and 4x+4y+z=16 in the first octant.
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George, Inc., reports the following for the month of June. Date Explanation Units Unit Cost Total Cost June 1 Inventory 200 $5.00 $1,000 12 Purchases 370 5.50 2,035 23 Inventory 150 5.75 863 30 Purchases 380 6.00 2,280 Total 1,100 $6,278 Assume a sale of 400 units occurred on June 15 for a selling price of $8 and a ...
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