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Find the centroid of the region bounded by the curve y^2= x and y= x-2.
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The managers of MNO Co., Inc., would like to have a lump-sum set of payments at the beginning of their employment rather than receiving their current salary of {eq}\$3,000 {/eq} at the end of the month. The chief financial officer informs them that the lump sum would equal {eq}\$16,170 {/eq} and is the present value ...
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Calculate the correlation coefficient when $f(x,y)=e^{-(x+y)}$. Find $E[XY]=\int_{0}^\infty\int_{0}^\infty{(xy)e^{-x}e^{-y}dxdy}$. What is the solution to this integral with infinite limits?
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Which of the following is a limitation of return on investment? A) It ignores cash flows. B) It is difficult to interpret. C) It does not take account of the time value of money. D) It uses accrual accounting instead of cash-based accounting.
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A company estimates its manufacturing overhead costs by using direct labor hours as the allocation base. The following information was taken from the accounting records during the last year of operations. Actual Manufacturing Overhead costs : $145,000 Estimated manufacturing overhead costs : $129,500 Direct labor co...
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You would like to have $500,000 in 20 years for your retirement. You plan to put away $14,000 each year (end of the year). What is the minimum interest rate that you would need to receive $500,000? a. 6.5% b. 5.72% c. 5% d. 4.5%
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A hospital administrator wants to calculate the average length of stay for a stay in the hospital. The administrator estimates that a simple random sample of 50 records would give a suitable accuracy. A preliminary study indicated that the average length of stay was 10 days. How large a sample is needed so that the con...
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Find the value of b > 0 such that the following function has an inverse function {eq}f^{-1}(x) {/eq} on the interval {eq}\sqrt [3]{3}, \infty {/eq}. {eq}f(x) = \int_{1}^{x}\frac{1}{t^{b}}dt, x > 1 {/eq}
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A company just starting business made the following four inventory purchases in June: Date Units Total Price June 1150$390 10200$585 15200$630 28150$510 $2,115 A physical count of merchandise inventory on June 30 reveals that there are 250 units on hand. Using the LIFO inventory method, the value of the ending i...
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Which one of the following factors will increase a firm's net present value (NPV), all else equal? A. A decrease in the number of payments B. An increase in the discount rate C. A decrease in the number of discount periods D. An increase in the initial cost of the project E. An increase in the cash flow
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A zero-coupon bond that matures in 11 years sells for $152.76. The bond has a par value of $100. What is the yield to maturity on the bond? 1. The yield to maturity is 5.57%. 2. The yield to maturity is 6.44%. 3. The yield to maturity is 6.63%. 4. The yield to maturity is 7.87%.
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At the beginning of the year, stock in the preferred utility company had an expected return of 12% and a standard deviation of 5.5%. The beta of this stock is 0.93. What is the expected return on this stock if the market return in the year is 14.5%?
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The CEO of Calico Industries is considering purchasing a new cell phone manufacturing facility. The purchase price is $16.4 million. She expects this facility to generate an internal rate of return of 11.70% and have no incremental earnings or cash flow changes. However, management has been concerned about stock price ...
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How many people should Julie sample, if she wants a 95% confidence interval to be within .05 of the true population proportion? a) 125 b) 207 c) 246 d) 486
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An investor purchased a ten-year bond with a face value of $5,000 seven years ago. The coupon rate is 10% and the discount rate is 5%. The investor now has an opportunity to purchase a second bond with a coupon rate of 15%. The discount rate of similar types of bonds has increased to 10%. He plans on selling the first ...
$5,000
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I'm looking for a formula or a trick to calculate the variance of $x^2$.
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Diana's Tennis Shop, Inc., had a beginning balance in the supplies inventory of $3,000. During the month of January, the company purchased $9,000 of supplies on credit and $2,000 of supplies for cash. By the end of January, supplies remaining on hand amounted to $2,500. Which of the following would be the correct entr...
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Peterson Corporation has $10,000 of 6 percent, 5-year bonds outstanding. The current market interest rate is 6.5 percent. Interest is paid semiannually. The present value of an ordinary annuity for 10 periods at 3.25 percent is 8.648. The present value of $1 for 10 periods at 3.25 percent is .7348. What is the carrying...
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A firm's bonds pay a coupon of 8%, while similar maturity, risk class securities are yielding 7%. The liquidity premium for these bonds is 0.3%. The maturity risk premium is estimated to be 0.1 x (time to maturity), where time to maturity is in years. The current rate of inflation is 5%. The real rate of return, r*, is...
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A security has an expected return of 12 percent and a standard deviation of 7 percent. If the security is normally distributed, what is the approximate probability that the security return will be less than -2 percent?
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Marty uses the visual inspection method for preparing the statement of cash flows. Selected information for Marty Company during 2016 follows: Accounts Payable: Difference between Year-end and Year beginning: +$7 Accounts Receivable: +$8 Common Stock: +$12 Patent Amortization -$3 Inventory.- $10 If Marty reported...
C
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Germosen, Inc. uses a standard cost system with direct labor hours (DLHs) as the application base for manufacturing overhead. Results for the year are below: Prior to the start of the year: Standard DLHs per unit 0.20 DLHs per unit Planned Production800,000 units Budgeted DLHs (denominator hours)160,000 DLHs Predete...
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The slope of a portfolio's capital market line is determined by: A. The reward-to-risk ratio minus the risk-free rate. B. The reward-to-risk ratio times the risk-free rate. C. The intercept with the risk-free rate. D. The intercept with the efficient frontier.
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Your firm is considering a project which will increase sales by $500,000 annually and cash operating expenses by $400,000 annually. The initial cash outlay for equipment required for the project is $300,000. The project's life is 5 years. What is the total cash flow for this project in year 1?
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Compute the first-order partial derivatives of {eq}z = \frac{xy}{x - y} {/eq} at the point (2, 1). At the point (2, 1), {eq}z_x = \_\_\_\_ {/eq} and {eq}z_y = \_\_\_\_. {/eq}
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The number of times that revenues are converted into cash during a period is called the: a. times interest is earned ratio. b. asset turnover ratio. c. return on investment. d. cash coverage ratio. e. receivable turnover ratio.
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During 2011, Tommy's Toys reported the following: short-term borrowings of $419 million; long-term borrowings of $147 million; long-term debt repayments of $45 million; interest paid, $128 million; and treasury shares repurchased $632 million. How much is net cash flow from financing activities during 2011?
-$111 million
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What is the yield to maturity of a 20-year bond that pays a coupon rate of 9% per year, has a $1,000 par value, and is currently priced at $1,240? Assume semi-annual coupon payments. a. 4.8% b. 5.8% c. 9.6% d. 11.6% e. none of the above
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Use cylindrical coordinates to find the mass of the solid {eq}Q{/eq} of density {eq}\rho{/eq}, where {eq}Q = \{(x, y, z): \ 0 \leq z \leq 16e^{-(x^2 + y^2)}, \ x^2 + y^2 \leq 36, \ x \geq 0, \ y \geq 0\}{/eq} and {\rho(x, y, z) = k}{/eq}.
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A US-based company has sales of $50 million in the United States and $2 million in the United Kingdom. Its total costs are $40 million. The US market exchange rate is $2 per pound, the euro is worth $2 per euro, and the British pound is worth $2 per pound. Which of the following is true? a. The firm's dollar sales are...
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Bonds Payable has a balance of $900,000 and Premium on Bonds Payable has a balance of $10,000. If the issuing corporation redeems the bonds at 103, what is the amount of gain or loss on redemption?
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Consider the following two projects: Project AProject B Cash Flow Today -197-195 Cash Flow in One Year $202$210 a. Which of the two projects has the greater net present value when the discount rate is 5%? Do not round intermediate calculations. Round your answer to the nearest whole percent and assume cash flows...
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Boston, Inc., planned and actually manufactured 190,000 units of its single product in 2017, its first year of operation. Variable manufacturing cost was $20 per unit produced. Variable operating (nonmanufacturing) cost was $9 per unit sold. Planned and actual fixed manufacturing costs were $950,000. Planned and actual...
c
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The pure expectations theory implies that: a. The expected future short rate exceeds the current short rate when the current yield curve has an upward slope. b. The current short-term interest rate exceeds the expected future short rate when the current yield curve is downward sloping. c. One may use the current yie...
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Intuit Enterprises makes a single product and uses a standard costing system that applies overhead on the basis of direct labor hours. The company's budget for the current year consists of 80,000 units at a standard cost of $63.00 per unit. The standard costs per unit appear below: Direct materials - 4 pounds at $6.5...
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So I have the following data given to me in the problem, and I am supposed to calculate a 90% confidence interval for the population mean: n = 17 x̄ = 25.6 s = 3.3 μ = ? Using the formula: (x̄ - (t*3.3/sqrt(17)), x̄ + (t*3.3/sqrt(17))), and knowing t(0.05) = 1.740, I am supposed to get (24.07, 27.13). But I'm getting...
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Consider the following cash flow. What is the present value of this stream of cash flow, given that the interest rate is 5%? Year: 0 1 2 3 Cash flow: -7,500 10,000 10,000 15,000
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Arlington LLC purchased an automobile for $40,000 on July 5, 2015. What is Arlington's depreciation expense for 2015 if its business use percentage is 75% (ignore any possible bonus depreciation)? a. 2,370 b. 3,160 c. 6,000 d. 8,000 e. None of these
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The net cash flows of Advantage Leasing for the next 3 years are $42,000, $49,000 and $64,000 respectively, after which the growth rate will be a constant 2% with a WACC of 8%. What is the present value of the terminal value? a) 51,822 b) 55,967 c) 59,259 d) 60,444 e) None of these
E
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A very long cylinder of radius 2.00 cm carries a uniform linear charge density of 2.20 nC/m. Taking the reference level for the zero of potential to be the surface of the cylinder, find the radius of equipotential surfaces having potentials of - 5.50 V.
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A uniformly charged insulating rod of length {eq}9.6 cm {/eq} is bent into the shape of a semicircle. The value of the Coulomb constant is {eq}8.98755 \times 10 ^9 \frac{Nm^2}{C^2} {/eq}. If the rod has a total charge of {eq}-6.05 \mu C {/eq}, find the horizontal component of the electric field at {eq}O {/eq}, the ...
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Bond X pays interest of 4% per year, has a {eq}\$1,000 {/eq} par value, and is exactly 10 years from maturity. Bond Y pays interest of 6% per year, has a {eq}\$1,000 {/eq} par value, and is exactly 10 years from maturity. If all other factors remain unchanged, which of the following statements is true? a. If inflati...
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On March 1, Valenko Co. borrowed {eq}\$810,000 {/eq} on a 10-year, {eq}8\% {/eq} note payable. On December 31, Valenko prepares its annual financial statements. Valenko uses the straight-line method of amortization. The cash interest payment for the year ended December 31 would be: a. Less than {eq}\$48,000 {/eq}. ...
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Which of the following is true regarding the carrying of capital loss carryover to future years? a. A general partner may carry a portion of their partnership losses over to future years b. An individual partnership may carry losses over to other partnerships c. A corporation may carry a portion of its losses over t...
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An unbiased die is successively rolled. Let $X$ and $Y$ denote, respectively, the number of rolls necessary to obtain a six and a five. $E[X]= 6$. find $E[X \mid Y=1]$
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For the titration of 50.0 mL of 0.150 M acetic acid (Ka = 1.8 × 10^-5) with 0.300 M sodium hydroxide, calculate the pH after 15.0 mL of sodium hydroxide has been added.
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Each of the three mutually exclusive alternatives shown has a 5-year useful life. If the MARR is 10%, which alternative should be selected? Solve the problem by incremental rate of return analysis. A B C Cost $600.0 $500.0 $200.0 Uniform annual benefit...
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The number of units of a certain brand of personal computer that are demanded annually by wholesalers is represented by the equation {eq}P = -1,200x + 120,000{/eq} and the number of units that are supplied annually is represented by the equation {eq}p = 1,200x + 50,000{/eq}. Find the equilibrium point. The equilibrium...
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Consider an account that has a balance of $10,000.00 on which interest is paid at 6%, compounded semi-annually. How long will it take for this balance to grow to $20,000.00? Round your answer to two decimal places. Do not include the word years in your answer.
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The shift from the short-run Phillips Curve to the long-run Phillips Curve represents the trade-off between: a. inflation and unemployment. b. inflation and economic growth. c. potential output and unemployment. d. economic growth and inflation.
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Find the coordinates of the centroids of the plates bounded by the given curves: {eq}y=2x, x = 9,y = 0. {/eq}
(6, 6)
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Which of the following is the correct ordering, from highest to lowest, for the three line items in a typical income statement for a service company? a. Service Revenue, G&A Expenses, Gross Profit b. Service Revenue, Gross Profit, G&A Expenses c. Service Revenue, Operating Expenses, Net Income d. Service Revenue, N...
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The main difference between adaptive expectations and rational expectations is that: a. rational expectations say that economic agents are concerned with whether or not they are doing as well as their expected targets. b. adaptive expectations say that economic agents have up-to-date information when forming their ex...
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How much must you deposit into an account today that will be earning 6% compounded monthly if you want to have $32,497 in 11 years?
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Use the four-step process to find {eq}f'(x){/eq} for {eq}f(x) = 2x^2 + 7x + 1{/eq}.
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In a poll conducted among 200 randomly selected individuals, 96% of them were in favor of imposing stricter penalties on drivers who cause accidents while using cell phones. Of the people in the poll, 1% supported a law against texting while driving. What is the margin of error for the 96% claim at the 95% confidence l...
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If you observe an object in the universe that is roughly 8 megaparsecs in size, what is the object most likely to be? A. elliptical galaxy B. irregular galaxy C. ultra-compact dwarf galaxy D. galaxy group E. galaxy cluster
E
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The life of light bulbs is distributed normally. The standard deviation of the population is 76 hours. As part of a quality assurance program, a random sample of 58 light bulbs is taken and found to have a mean life of 1100 hours. What is the 90% confidence interval for the population mean? (Z_Dist table)
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Anderson Enterprises is a U.S. firm that manufactures light fixtures for commercial and residential consumers. Anderson is looking to expand internationally, so the firm should most likely _____. A) focus on developing new recruitment strategies and selection tests B) change their organizational structure to fit the n...
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An airline reports that 85% of its flights arrive on time. To find the probability that 95% or more of the next 100 flights will arrive on time, the airline uses a normal distribution with p = 0.85 and σ = 0.0357. Explain why this is a wrong approach.
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Solve the problem using the residue theorem: ∮(2z+1)/z dz over the circle |z|=3
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Which of the following is true? a. Lerner index is equal to 1 minus the absolute value of the price elasticity of demand b. When the demand curve is given by {eq}Q = a - bP {/eq} , it can be concluded that the price elasticity of demand is equal to {eq}-b {/eq}. c. Lerner index is the ratio between profit maximizi...
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The following information is related to Mitchell Company's fiscal year 2018. Income Statement: Net Income $300,000 Depreciation Expense30,000 Loss on Sale of Plant Assets10,000 Interest Expense500 Balance Sheet - 12/31/18: Accounts Payable Increase4,000 Accounts Receivable Increase5,000 Plant Assets - Purchased200,0...
$259,000.00
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Given a private organization (POP) willing to purchase property at a price less than market value, are there any other considerations (under the equities provisions of the Private Sector Equity Act) that could prevent a local government (LATG) from receiving the funds for the purchase of this property?
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Accounts Payable account had a beginning balance of {eq}\$27,000 {/eq}, {eq}\$46,000 {/eq} in purchases were made on the account during the month, and {eq}\$36,000 {/eq} of purchases were paid in cash. The ending balance of Accounts Payable is: a. {eq}\$37,000 {/eq}. b. {eq}\$17,000 {/eq}. c. {eq}\$73,000 {/eq...
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Following an increase in Mexican interest rates relative to U.S. interest rates (which causes Mexican investors to borrow abroad to invest domestically), which of the following is expected to occur? Explain. A) The dollar would appreciate relative to the peso, and Mexican prices would increase. B) The dollar would ap...
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Using the Born model, determine the enthalpy of formation for {eq}LiBr {/eq} solid, if the following values are known: ionic radii: {eq}Li^{+} {/eq} = 0.76{eq}\overset{\circ}{A} {/eq} and Br{eq}^{-} {/eq} = 1.82{eq}\overset{\circ}{A} {/eq}, f = 10.4, and Z{eq}Li^{+} {/eq} = +1 and Z{eq}Br^{-} {/eq} = -1.
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Vitex, Inc. experienced the following costs in 2018: Raw Materials 145,000 Direct Manufacturing Labor 64,000 Indirect Manufacturing Labor 16,000 Power Plant - Manufacturing Facility 42,000 Clerical Expenses - Corporate Office 24,000 Administrative Expenses 58,000 Marketing Expenses 31,000 Sales Revenue 425,000 Sales ...
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I'm learning about finding the rank of a matrix and I'm confused by a problem. I don't know where I am wrong in my solution. (Images of my solution and the book's solution are provided). The book says the matrix has rank 2, but my solution shows rank 1. What am I doing wrong?
2
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Sherman is in the 35 percent marginal tax rate bracket and pays the additional 3.8 percent surtax on net investment income. He earns $500,000 in salary and $50,000 in dividends. He pays $40,000 of business expenses. He is self-employed. What is his net investment income tax? a. 3.8% on $50,000. b. 3.8% on $10,000. ...
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Palmiero Company purchased a building and land in 2001 at a cost of $780,000. The land was appraised at $375,000 (fair market value) and the building at $405,000. What is the book value of the building at the end of 2005, assuming straight-line depreciation based on a 40-year life and no salvage value? (For all require...
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What is the internal rate of return on an investment with the following cash flows? Year Cash Flow 0 -$27,000 1 $ 7,000 2 $ 11,000 3 $ 16,000
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If the economy is in a recession, firms may become pessimistic about the impact of business investment spending on future output and employment. Suppose that the firms' expectations are realized, and investment spending declines. According to the model of aggregate demand and aggregate supply, this event will _____. ...
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Fresh water flows into a large tank at a rate of 15 gpm and leaves the tank at the same rate. Suppose a 1440 pound solution (containing some dissolved salt) is in the tank at time t=0. Assuming perfect mixing, find the amount of salt in the tank at any time t.
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What is the present value of a 4-year ordinary annuity of $1,800 per year plus an additional $2,400 at the end of year 4 if the annual interest rate is 8%?
$7,725.90
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On March 1, 2012, Blue Sky Airways paid $2,400 for 3 months rent for an office building. The payment was recorded with a debit to Rent Expense. On March 31, 2012, the adjusting entry for prepaid rent would include a: A) debit to Prepaid Rent for $800 B) debit to Prepaid Rent for $2,400 C) credit to Prepaid Rent for ...
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How much should you be willing to pay for an asset that produces a perpetual cash flow of $1,000 per year if your required return is 8%?
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Who is most directly responsible for the efficiency of financing activities? a. Accountants b. Treasurers c. CFOs d. Business analysts e. All of these have a role to play.
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A machine costs $100,000; it is expected to generate annual cash revenues of $50,000 and annual cash expenses of $30,000 for 8 years. The required rate of return is 14%. The net present value of this machine would be closest to: A. ($71,358) B. $33,642 C. ($33,642) D. $71,358
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Assume that the risk-free rate is 3.8 percent and that the market risk premium is 4.75 percent. If a stock has a beta of 0.95, what is its cost of equity capital?
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The naive multiplier and the "real world" multiplier would move closer together if: a. k falls and/or er rises b. rr falls and/or k falls c. None of the listed options is correct. d. k falls and/or er falls e. k rises and/or er rises
b
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Diluted earnings per share will be: a) higher if preferred stock is cumulative b) lower if average market price of common stock is lower c) higher if potential common shares are issued d) higher when options are exercised
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A firm has a total equity of $487,500 and a net income of $65,000. What is the firm's ROE if it plans to distribute 55% of its net income to shareholders? a. 26.2% b. 25.0% c. 12.5% d. 16.3% e. 14.2%
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Which of the following statements about the field Z/7 is true? (Select all that apply.) A. The field Z/7 is cyclic. B. The field Z/7 is not cyclic. C. The field Z/7 has 7 elements. D. The field Z/7 does not have 7 elements. E. 2 is a generator of the field Z/7. F. 4 is a generator of the field Z/7. G. 5 is a generator...
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During the takeout month in July 2015, company KZ sold 12,000 cell phone cases to a cell phone case store with a listing price of $18 per case. The store ordered 5,000 cases, and KZ had 6,000 cell phone cases in inventory on that date. KZ granted the store a 10% trade discount and an additional 1% discount for ordering...
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Weatherspoons, Inc., wishes to maintain a growth rate of 5% and a debt-equity ratio of 1.70. The profit margin is 8%, and the dividend payout ratio is 60%. What ratio of total assets to sales must be maintained in order to achieve the desired growth rate?
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When a firm acquires a long-lived asset such as equipment if the tax law allows it managers would generally prefer to _____. A. take no deduction at all for the cost of the equipment. B. immediately take a deduction for the full cost of the asset when it is purchased. C. depreciate the equipment over a short life. ...
B
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A 15-cm-diameter shaft rotates at 4800 rpm in a 20-cm-long, 15-cm-wide bearing (see the figure below) containing oil with a kinematic viscosity of {eq}2.5 \times 10^{-5} m^2/s {/eq} and specific gravity of 0.95. Calculate the power dissipated as the shaft rotates in the bearing.
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You are the manager of a Mom and Pop store that can buy milk from a supplier at $3.00 per gallon. If you believe the elasticity of demand for milk by customers at your store is -2, then your profit-maximizing price is:
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Heston Corporation is evaluating whether to invest in a new piece of equipment priced at $18,422.50. The machine would produce revenues of $25,000 with operating costs of $15,000. Assuming a zero salvage value at the end of its useful life, which lasts four years, and the company's WACC of 10%, which of the following s...
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Suppose the current price of gold is {eq}\$1,400 {/eq} per ounce. The storage costs are {eq}\$2 {/eq} per ounce per year (paid at the end of the year). Storage costs are assumed to be paid in advance (at the beginning of the year). The risk-free interest rate is {eq}6\% {/eq} per annum with continuous compounding. F...
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Find the value of {eq}f_{xy} (4, 1) for the function {eq}f(x, y) = \ln (3x + 5y){/eq}.
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A project has the following cash flows. What is the payback period? Year 0 = -$91,500 Year 1 = $28,000 Year 2 = $45,600 Year 3 = $16,800 Year 4 = $11,500
3.10 years
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Use the following timeline to answer the question(s) below. Year 0 = 0 Year 1 = $600 Year 2 = $1,200 Year 3 = $1,800 At an annual interest rate of 7%, the future value of this timeline in year 2 is closest to: A) $4,035 B) $3,080 C) $3,525 D) $3,770
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Debt that will mature within one year is reported on the balance sheet as: a. A current liability b. A long-term liability c. Both a current liability and a long-term liability d. Neither a current liability nor a long-term liability
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You wish to borrow $2,000 to be repaid in 12 monthly installments of $189.12. The annual interest will be: a. 24%. b. 8%. c. 18%. d. 12%.
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Baker Co. had sales of $240,000 and cost of goods sold of $180,000. Their beginning and ending inventories were $30,000 and $40,000, respectively. Their average accounts receivable and accounts payable balances were $60,000 and $40,000, respectively. What was the length of the days to collect receivables? a. 55.7 days...
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Which of the following statements is true? A) Manufacturing overhead is a component of actual manufacturing cost that is accumulated in a separate control account for each of the manufacturing departments. B) Manufacturing overhead is any manufacturing cost not easily traced to a specific job. C) Manufacturing overh...
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How can I calculate $cov(w_t , \int_0^{t}s^{n}dw_s)$ using integration by parts and iteratively reducing the integral $\int_0^{t}s^{n-1}w_sds$, ultimately expressing the covariance in terms of components like $\int_0^{t}sdw_s$, $\int_0^tw_sds$, and $w_t$?
\frac{t^{n+1}}{n+1}
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Which of the following is not a problem with using the NPV for capital budgeting decisions? A. The NPV is costly to estimate. B. The NPV doesn't take account of differences in the sizes of projects. C. The NPV doesn't take proper account of differences in the lives of projects. D. The NPV doesn't give accurate resu...
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