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Find the work done by the force {eq}F = 6xyi + 12y^2 j{/eq} acting along the piecewise-smooth curve consisting of the line segments from (-2, 2) to (0, 0) and from (0, 0) to (2, 6).
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Consider the following linear demand function: Q = 500 - 4P where {eq}Q {/eq} is the quantity demanded and {eq}P {/eq} is the price. The price elasticity of demand (PED) between prices of {eq}2 {/eq} and {eq}3 {/eq} is closest to: A. -0.80. B. -1.00. C. -1.25. D. -1.67....
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Jones Company has a debt-equity ratio of 1.50. If it had no debt, its cost equity would be 9%. Its cost of debt is 7%. What is its cost of equity if the corporate tax rate is 34%?
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Speedy sells one product. 7,000 units were sold resulting in $84,000 of sales revenue, $21,000 of variable costs, and $10,500 of fixed costs. The contribution margin ratio is: a. 25% b. 75% c. 37.5% d. 62.5%
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In 2016, prior to its issuance of a periodic income tax return, a company made a payment of $650,000 in cash to settle a lawsuit that was filed against the company in 2014. The payment was not covered by insurance. In its 2016 income tax return, the company should report: a) a current deductible amount of $650,000. b...
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The economy-wide identity for Y (output) is Y = C + I + G + (X - M) where Y = national income; C = consumption spending; I = investment spending; G = government spending; X = exports; and M = imports. From 2015-2016, measured at current dollars, the following changes in these components occurred: Y increased by $3,000...
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A firm has a current period dividend per share of $1.42, a dividend growth rate of 6%, and a required return of 15%. Given this, the dividend yield is: a. 10% b. 6% c. 8.8% d. 11.4% e. 15%
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Which of the following types of annuity is most suitable for a situation where regular payments must be made into the future, and a single payment is received today? a. ordinary annuity b. annuity due c. both d. neither
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Evaluate the triple integral: {eq}\int \int_{Q} \int x y z \, \mathrm{d}V, {/eq} where {eq}Q{/eq} is the cube with vertices {eq}(0, 0, 0), \; (1, 1, 1), \; (1, -1, 1), \; (-1, 1, 1), \; (-1, -1, 1), \; (1, 1, -1), \; (1, -1, -1), \; (-1, 1, -1),{/eq} and {eq}(-1, -1, -1).{/eq}
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Jazz World Inc. is considering a project that has the following cash flow and WACC data. What is the project's NPV? Note that a project's projected NPV can be negative, in which case it will be rejected. a. $257.55 b. $302.31 c. $328.19 d. $295.99 e. $306.26 WACC 9.75% Year 0 ...
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We purchased 100 shares of AT&T stock at a price of $54 per share. We placed the purchase in a margin account with an initial margin of 50 percent and a maintenance margin of 25 percent. At a later date, the stock paid a dividend of $0.43 per share, and the stock price declined to $50 per share. What is the rate of re...
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An economy in long-run equilibrium experiences a decrease in the value of its capital stock as a result of an earthquake. Based on the AD-AS model, which of the following best describes the likely path of prices and output in the long run? (a) Prices will fall, and output will remain unchanged. (b) Prices will rise...
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A broker firm pays its salespeople a salary of $50,000 per year plus a 2% commission on all stocks sold. The stock of Operations Technology (OT) is selling for about $60 per share. If a salesperson generates $100,000 in sales over the year, by how much will the broker's commission on those sales reduce the salesperson'...
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The management at Royal Petroleum Co. wants to know if it should buy from its competitors if it plans on expanding production next year. The company is considering buying 5,000, 10,000, or 250,000 barrels of oil. The average price of oil is $18.25 per barrel with a standard deviation of $2.50 per barrel. The manager wo...
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Suppose a company's stock sells for $75 per share and the company is expected to pay a $4 dividend at year end with an earnings per share of $6. An analyst, evaluating the stock in the marketplace, notes that the beta of the stock is 1.2, the yield to maturity on bonds of similar risk to the stock is 8 percent, and the...
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During the years 2010, 2011, and 2012, ABC Company experienced an increase in its return on total assets from 10% to 11% to 13%, and an increase in its return on stockholders' equity from 14% to 16% to 20%. Based on these changes, one might conclude that during the 3-year period: a. ABC Company's level of total assets...
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Ives LeFancy and Donna Gabbana are two top fashion designers who own stores on Trendy St. Each have to decide whether to present their ready-to-wear collection at the Los Angeles Fashion Week (L.A.) or at the New York Fashion Week (N. Y.) (they can only present at one of them). If Ives chooses L.A. and Donna chooses N...
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This problem focuses on the Assembly Department of a manufacturing operation. Direct materials are added at the end of the process. Direct labor and overhead (referred to collectively as conversion costs) are added evenly throughout the process. When the Assembly Department finishes work on each unit is immediately tra...
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Multiple Product Break-Even Analysis Mantax Co. produces and sells two types of plastic moldings called Regular and Economy. Budgeted data for next month follows: Product Regular Economy Sales $320,000 $240,000 Variable costs 128,000 84,000 Contri...
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If a consumption function intersects the vertical axis at 500, then: a. if income increases by $1, consumption will increase by $1 b. if income increases by $1, consumption will increase by $0.5 c. if income increases by $1, saving will increase by $0.5 d. if income increases by $1, consumption will increase by $0....
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The firm's tax rate is 30%. How much of the company's R&D costs are tax deductible? R&D Costs Taxable Deductible Cash $ 20,000 $ 14,000 Equipment 500,000 350,000 Total $520,000 $364,000 A) $20,000 B) $230,000 C) $14,000 D) $35...
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Calculate the unemployment rate for an economy with a population of 10,000 people, where 9,000 are employed and 500 are not seeking work.
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Given the mutually exclusive projects with cash flows as follows: Project C0 C1 C2 C3 Q -50 25 25 25 R -100 30 50 70 S -30 25 25 25 Which of the following statements are correct? a. If WACC is 10%, the project with the largest NPV is project Q. b. If the WACC is 10%, the project with the largest PI is project R. c...
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You purchase a bond with a coupon of 8% and a clean price of $1,180. During the year, the bond pays interest twice, with a 31-day month. If the last interest payment was made on May 1 and there are 100 days between that date and December 17, what is your accrued interest (round your answer to the nearest $1)? a) $18 ...
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According to the Bureau of Labor Statistics, 2.2% of the labor force was unemployed in 2001. Suppose the following data show the unemployment rate (in percent) for a random sample of 50 states in 2009. StateUnemploymentRateStateUnemployment Rate Alabama9.2New York6.3 Alaska7.6North Carolina8.2 Arizona7.6North Dakota3...
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Walter Accounting Services prepared the following analysis for 2015. Fixed and variable cost estimates are based on $60,000 units expected to be sold during the year. Cost CategoryEstimate if Units Sold Are 55,000Estimate if Units Sold Are 60,000Estimate if Units Sold Are 65,000 Variable Cost per Unit$22.80$22.80$22....
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Company Corporation's results for the year ended December 31, 2010, include the following material items: Sales revenue $8,200,000 Cost of goods sold 4,800,000 Selling and administrative expenses 1,700,000 Gain on sale of investments 600,000 G...
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The investor has the following cash flows before tax: Year 1 : $10,000 Year 2 : $15,000 Year 3 : $20,000 Year 4 : $30,000 Year 5 : $50,000 The investor is in a 40% tax bracket during years 1, 2, 3, and 4 and in the 35% bracket during Year 5. Assuming the investor can earn a 7% after-tax rate of return on investments,...
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There is an article that says that after the collection of the dividend, the 6% bonds with a face value of $43,000 that had matured during the year were retired by the issue of 4,050 shares of $5 par value common stock. If the total paid-in capital at the beginning of the year was $110,000, what will the total paid-in ...
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Compute the following probabilities using Excel. a. If n=10 and p = 0.4, find P(x ≤ 3). Round to 5 decimal places b. If n=12 and p = 0.2, find P(x ≥ 3). Round to 5 decimal places. c. If n=14 and p = 0.8, find P(x ≥ 12). Round to 5 decimal places.
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The region R is bounded by the curve {eq}y = \sqrt{4 + x^3} {/eq} and the x-axis. Find the exact area of the region R.
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Alpha Zeta is considering purchasing some new equipment costing $250,000. The equipment will be depreciated on a straight line basis to zero over the four-year life of the project. Projected net income for the four years is $23,400, $31,800, $38,700, and $32,000. What is the average accounting return? 20.88 percent 1...
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Becky's Bakery sells three large muffins for even two small ones. A small muffin sells for $3, with a variable cost of $2.00. A large muffin sells for $5 with a variable cost of $2.50. Fixed costs are $3,000 per month How much is the breakeven in terms of total units? A. 1,579 B. 1,240 C. 1,180 D. 946
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Galbreath Inc. has a capital budget of $850,000. The firm's cost of capital is 13%. It is considering three capital projects: Project 1, Project 2, and Project 3. The net present values of these projects are as follows: Project 1 Project 2 Project 3 Initial Cost $ 200,000 $ 450...
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Which of the following statements is most correct? a) The yield to maturity on a coupon bond that sells at par value must be equal to the coupon rate. b) The yield on a coupon bond with a $1,000 par value that sells at a premium must be less than the coupon rate. c) The yield on a coupon bond that sells at a discount ...
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The Mystic Manufacturing Company uses a job order cost system and applies overhead based on estimated rates. The overhead application rate is based on total estimated overhead costs of $250,000 and direct labor hours of 10,000. During the month of May, actual direct labor hours of 9,500 were incurred. Use this informat...
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Your firm is a U.K.-based exporter of bicycles. You have sold an order to a French firm for Euros 1,000,000 worth of bicycles. Payment from the French firm in euros) is due in 12 months. Use a money market hedge to re-denominate this one-year receivable into a pound-denominated receivable with a one-year maturity. Co...
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If Mexico decided to adopt a fixed exchange rate (FR) system for the peso, the official rate would most likely be: a. lower than the current market rate because the demand for the dollar would be expected to rise. b. lower than the current market rate because the supply of dollars would be expected to fall. c. highe...
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The LMN Corporation bonds are currently selling for $1,312. These bonds have an 11% coupon rate, pay interest semiannually, and have a {eq}\$1,000 {/eq} par value and an 8% yield to maturity. How many years are there to maturity for LMN Corporation bonds?
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Assume that you have a two-period, $100 face-value bond with a coupon rate of 10%. If you purchased this bond at the price of $90.30, then your yield to maturity is closest to: a) 10.78% b) 12% c) 14.19% d) 16%
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Oxygen is throttled from superheated vapor at 350 kPa and 500 K to a pressure of 100 kPa. It can be assumed that the ideal gas model with specific heat {eq}c_p = 0.925\ \dfrac {kJ}{kg . K} {/eq} applies. The temperature of the oxygen after throttling is _____ K.
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Which of the following statements is true? A. Normal costing uses actual overhead costs to equal the actual manufacturing costs B. Overapplied overhead means that applied overhead is less than actual overhead C. Actual costing uses predetermined overhead rates to equal actual manufacturing costs D. Underapplied ove...
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Firms Alpha and Beta both produce the same product. Alpha has an operating income of $100,000, sales of $150,000, and average invested capital of $1,000,000. Beta has an operating income of $90,000, sales of $120,000, and average invested capital of $800,000. Alpha has a WACC of 10% and a tax rate of 35%. Beta has a W...
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If the nth partial sum of a series {eq}\sum a_n {/eq} is {eq}S_n = \dfrac {n + 1}{2n + 3} {/eq}, then find the sum of the series.
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Assume the price elasticity of demand for a firm's product is -2.5. If the manager wants to increase sales by 25 percent, then she should: a. increase price by 10 percent. b. decrease price by 10 percent. c. increase price by 2.5 percent. d. decrease price by 2.5 percent. e. increase price by 62.5 percent.
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A tax cut or government spending increase will increase real GDP in the short run, so long as which of the following is true? a. The marginal propensity to consume is greater than zero b. the multiplier is positive c. aggregate demand is below full employment equilibrium d. equilibrium aggregate demand is negative
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An Atwood machine consists of two masses, \(m_1 = 10\text{ kg}\) and \(m_2 = 11\text{ kg}\), connected by a massless string over a frictionless pulley. The system is released from rest. If \(g = 10\text{ m/s}^2\), what is the tension in the string connecting the two objects? Express your answer in Newtons to three sign...
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Suppose that you are the money manager at a large bank and you have been assigned the task of evaluating a proposed project with the following cash flows: Year Cash Flow 0 $ (80,000) 1 $ 20,000 2 $ 40,000 3 $ 30,000 4 $ 10,000 The appropriate discount rate is 16%. What is the MIRR of this project?
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Martinez Corporation changed from FIFO to LIFO inventory method at the beginning of 2015. Its inventory on January 1, 2015, under both methods was the same. The only change in inventory during 2015 was purchases of $400,000 ($375,000 under FIFO and $350,000 under LIFO). Assuming a 20% tax rate on ordinary income, what ...
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The first year a project is undertaken, $10,000 of land must be acquired, and $6,000 of equipment purchased (the equipment will be sold for $2,000 in year 3). The cost of these items is considered a/an: A) operating expense B) fixed expense C) noncash expense D) capital expense
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If the marginal propensity to consume (MPC) is 0.75, then the: A. spending multiplier is 4, and the tax multiplier is 3. B. spending multiplier is 4, and the tax multiplier is -4. C. spending multiplier is 4, and the tax multiplier is -3. D. spending multiplier is 3, and the tax multiplier is -4. E. spending multi...
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What is the wavelength (in nm) of an electron moving at 5.33% of the speed of light?
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If the sample size of a binomial experiment increases, what happens to the probability of getting an intermediate value for the sample proportion?
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What is the probability that, in a sample of 36 microwave ovens, the mean repair cost will be less than $90, given that the population mean is $90 and the standard deviation is $10?
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At the end of the current fiscal year, December 31, 2016, inventory was determined to have been overstated by $25,500. The 2016 financial statements were correct except for the following items. Cost of goods sold $487,500 Inventory $34,000 Accounts payable $5,100 The 2017 financial statements were correct for all ...
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How large a sample must be taken to be within $200 of the actual average with 99% confidence, assuming a population standard deviation of $1,000?
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Refer to this table. Use FIFO to compute the cost of goods manufactured for the year. Inventory July 1 July 31 Raw materials $150,000 $130,000 Work in process 100,000 90,000 Finished goods 200,000 170,000 ...
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Which of the following is true about the concept of lumpy costs? a) Duplicating expensive assets involves a fixed cost. b) Lumpy costs occur due to economies of scale. c) The demand for an asset that is being purchased lumpy is very elastic. d) Adding another unit of a lumpy asset entails a continuous cost function...
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Calculate the incremental IRR between Project X and Y. Should the company accept project X or Y? Project X Project Y Cost $100,000 $95,000 Life 5 Years 4 Years Cash Inflow $40,000 $40,000 $45,000 $30,000 Cost of capita...
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A company is considering a project that will cost $110,000 to start and will generate cash inflows of $47,000 in year one, $45,000 in year two, and $43,000 in year three. What is the IRR for the project? Show your work.
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Assume that today is December 31, 2016, and that the following information applies to Artic Supply: 1. After-tax operating income [EBIT(1 - T)] for 2017 is expected to be $450 million. 2. The depreciation expense for 2017 is expected to be $180 million. 3. The capital expenditures for 2017 are expected to be $400 mi...
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A $200,000 debt is being amortized by payments of $28,000 at the end of each year. It was decided to increase the annual payment by 8% so that the debt can be fully amortized in 5 years. Compute the original interest rate. Annual payments of $28,000.00 are made at the end of each year for 5 years. The amount of the pay...
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Use the Ratio Test to determine if the series {eq}\sum_{n=1}^\infty \frac{4^n}{(n+1)2^n} {/eq} converges. What is the value of the limit (or state that it does not exist)?
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You purchased a stock at the beginning of the year for $40 a share. The stock paid a dividend of $2 per share and ended the year at $45. You sold the stock at the end of the year. Your stock's total return was: a. 12.5% b. 16.7% c. 15% d. 8.33%
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Which of the following is not one of the main financial statements? a. Balance sheet b. Income statement c. Retained earnings statement d. Statement of cash flows
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A zero coupon bond has a face value of $1000 and matures in 3 years. The $1000 is discounted at 4% to give a bond price of $889.00. Which of the following quantities is not 4%? (a) The yield to maturity (b) The bond's coupon rate (c) The yield on the bond's future price (d) The rate used to discount the future pric...
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Cova Company is considering a long-term investment project called ZETA. ZETA will require an investment of $38,400. It will have a useful life of 4 years and no salvage value. Annual revenues would increase by $14,928, and annual expenses (excluding depreciation) would increase by $12,720. Cova uses the straight-line ...
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Cash flow statement is prepared by following methods except: a. Direct Method b. Indirect Method c. Monetary Method d. Cash Basis Method
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You are considering buying a store, especially given the current trend toward opening more stores. The owner is asking $750,000. You own a warehouse, which you are considering leasing for $25,000 per year. The store itself will cost $300,000 to rent; items that can be resold will cost $400,000. Your suppliers will char...
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Taking into account the bioavailability of the drug by mouth and the rate at which the drug is eliminated, calculate how many milligrams of the drug are still in the patient's body 6 hours after the last dose, given the following data: Drug elimination rate: 0.15 per hour, Amount of drug in one dose: 150 mg, Bioavailab...
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Calculate the derivative with respect to {eq}x{/eq} of: {eq}\frac{\partial}{\partial x}\left[(16-x) \arctan(\frac{x}{4})\right] {/eq}
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Deflationary (or counter) cyclical fiscal policies that work to reduce inflation and employment when it is high and the economy is producing above the natural rate of unemployment are generally referred to as: A. expansionary. B. contractionary. C. supply. D. demand.
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Susan knows that she will need to buy a new car in 5 years. The car will cost $35,000 by then. Her bank offers her 2% interest on her savings. If she puts $3,000 in the bank now, how much will she need to save each month to have the $35,000 in 5 years? a. $167.99 b. $146.65 c. $134.97 d. $184.60
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Suppose that 60% of all college students oppose a fee increase. Determine the probability that 6 out of 10 randomly selected students oppose the fee increase. Assume the conditions for the binomial experiment are satisfied.
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Why does $(R, +)$ being an Abelian group imply that $(a-b) \in R$ for all $a,b \in R$?
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Seamus, Inc. acquired a 90 percent interest in Lizzi Corporation on January 1, 20X6, at book value equal to fair value for $360,000 cash. During 20X6, Lizzi reported a net income of $150,000 and paid dividends of $75,000. Seamus also paid Lizzi employees $15,000 in excess of the amounts to which they were otherwise ent...
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Sorenson Corp. is considering a project with an estimated net investment of $60,000. The project is estimated to generate annual net revenues of $35,000 and annual operating costs of $18,000 (including depreciation). The equipment to be used in the project will have a 5-year useful life. The salvage value of the equipm...
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A 540-turn solenoid, 29 cm long, has a small 6-turn rectangular coil wound around it. If the current in the solenoid increases uniformly from 21 A to 32 A in 0.25 s, what will be the induced emf in the short coil during this time? Express your answer using two significant figures. Emf = _____ V
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A vertical conducting bar forms a complete rectangular loop with the conductor it is sliding on. The vertical bar is moving to the right at a constant speed in a region with a uniform external magnetic field. Points A and B are the same distance on each side from the sliding bar. Three students make the following state...
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Find the limit of the sequence $x_n = \left(1 - \frac{1}{3}\right)\left(1-\frac{1}{6}\right)...\left(1-\frac{1}{n(n+2)}\right)$
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A current loop has a current that doubles every second. Below it, another current loop is close enough to be impacted by the magnetic field of the first loop. As a result of this setup, what happens to the current in this lower loop? a. There is no current in the second loop since the first current has an unchanging i...
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The equipment of the Burch Company has a present purchase price of $10,000. The equipment is expected to require major repairs costing $1,000 every 4 years and operating costs of $200 per year. The salvage value of the equipment is expected to be $3000. Burch's MARR is 10%. Determine the equivalent uniform annual cost ...
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Find the curl of the vector field. Use the standard notation for curl vector field, such as curl F = (..., ..., ...).
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At a bank, customers arrive at an average rate of 45 customers per hour. If the manager estimates that the average time customers spend waiting in line is 2 hours, what is the average number of customers in the system?
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Let $0<x<1$ and $f(x)=\sum_{n=0}^{\infty} \frac{x^n}{(1+x)^{2n+1}}$ , then what is the value of $f(\frac{1}{3}) + f(\frac{2}{3})$?
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Find the correlation, r, from the given information: n = 22, SSR = 110.707, SSE = 62.663, x = 7.335, y = 6.633.
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Jill Hepp is opening a new hot dog stand. He will have four employees, each of whom he expects to earn $15,000 per year. He will also incur a monthly rent of $3,000 and a utility bill that averages $1,000. He expects his annual sales to be $110,000. After the initial investment, what does Hepp need to invest each year ...
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In an enchanted forest, there are five baskets, each containing 100 apples. The baskets are arranged in a row. Each apple has a magical property: when an apple is taken from a basket, it transforms into a different type of fruit. An apple taken from the first basket transforms into a pear, from the second into a quince...
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Under which of the following types of pricing is the amount of deadweight loss not a concern? A. First-degree price discrimination B. Second-degree price discrimination C. Third-degree price discrimination D. None of the above.
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Assume a marginal tax rate of 34 percent and a 6 percent capital gains rate. Calculate the total return on a corporate bond paying 6 percent coupon interest, if the bond is an STRIPS with maturity of one year and has a price that reflects a yield to maturity of 8 percent.
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Let $G$ be a finite abelian group. Prove that $\hat{G}$ is isomorphic to $G$ by constructing an explicit isomorphism.
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If actual fixed overhead is $280,000, the overhead budgeted at the level of output achieved is $260,000, and the fixed overhead allocated to production is $300,000, the fixed overhead budget variance is a(n): a. $10,000 favorable variance. b. $20,000 favorable variance. c. $10,000 unfavorable variance. d. $20,000 u...
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Find an equation for the plane that contains the curves {eq}r_1(t)=<t, 1+\sqrt{t},t^2> {/eq} and {eq}r_2(t)=<2t,t^2,t^2> {/eq}.
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Which of the following will increase (assuming no change in the required rate of return or the initial cash outlay)? A. NPV B. IRR C. PI D. None of these is correct
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As part of an experiment in the physics lab, a small metal ball of radius r = 2.8 cm rolls without slipping down a ramp and around a loop-the-loop of radius R = 4.1 m. The spherical ball is solid with a uniform density and a mass of M = 316 g. What if we had allowed a block with the same mass as the spherical ball to s...
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During the month of September, the Marshall Company budgeted the following information: a) Fixed manufacturing overhead - {eq}\$60,000 {/eq}. b) Direct materials - {eq}\$100,000 {/eq}. c) Direct labor - {eq}\$120,000 {/eq}. d) Variable manufacturing overhead - {eq}\$50,000 {/eq}. e) Fixed selling and administr...
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You own an oil pipeline that generates $780,000 cash flow over the next year. The pipeline's operating costs are negligible and it is expected to last for a very long time. The interest rate is 4.45% but the volume of oil is expected to decline by 1.75% per year. What is the PV of the cash flow if it is assumed to last...
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The Northwest Fur Trading Company has the following labor costs for the month of November: Actual hours used 4,800 hours Standard hours 5,000 hours Standard cost per hour $17.40 Actual cost per hour $17.00 The standard direct labor cost for November is: A. $93,600 B. $87,000 C. $84,600 D. $86,600
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Assume a company must pay $1,000,000 for a new machine. Machine A: This machine will last for four years. The machine will be straight line depreciated over four years with no residual value. This machine will generate after-tax savings of $350,000 in the first year, and this amount will grow at a 5% annual growth ra...
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Jeff's pretax income from his career as a professional musician was $200,000 in 2015, $160,000 in 2016, and $180,000 in 2017. During 2015, Jeff donated $10,000 to the University of Southern California's Soccer Team. During 2016, Jeff donated $20,000 to a university (a qualified college or university) and $10,000 to the...
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