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An insulating sphere has a thin hole with radius 2.0 mm drilled right through its center. The sphere's radius is 60.0 mm. What should be the relative change in radius of the hole (delta r/r) so that the total volume of the sphere with the hole is 1.0% less than it would be without the hole? Assume that the radius of th...
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In adjusting a company's income statement to arrive at cash flow from operations, the proper treatment of the period's change in interest expense is: a. to ignore it, in that it represents a non-operating item b. to add it to interest payable c. to subtract it from interest payable d. none of the above
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Determine the slope of the tangent to the curve y^2 - 2x - 3y = 0 at the point (1, 2).
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If the sales volume were to decrease by 50 units, the break-even point in total dollars would: A. not change. B. decrease by $1,660. C. decrease by $800. D. decrease by $860. E. increase by $860.
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The income elasticity of demand for all goods taken together must be a) between 0 and 1. b) -1. c) +1. d) zero.
c
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Straight Outta Compton bonds pay an annual coupon rate of 6.10% and have a face value of $1,000. Interest is paid annually, and the next coupon is due in one year. If the bond has a yield to maturity of 7.60%, what is the current price of the bond? a) $821.47 b) $823.04 c) $1,142.83 d) $826.86
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A 4.00-meter long, 650 N uniform ladder rests against a frictionless vertical wall with its bottom 3.00 meters from the wall. The ladder's weight acts at the ladder's center of gravity, which is 2.00 meters from its bottom. A 890 N firefighter climbs 1.80 meters up the ladder. What is the magnitude of the reaction forc...
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I am trying to use the identity $$\sum_{\ell=0}^\infty x^\ell = \frac{1}{1-x}$$ to calculate $x^k$ coefficient of $(1-x)^{-1}$ with the binomial series. I have $$\sum_{n=k}^\infty \binom{n}{k} x^{n-k} = \sum_{\ell=0}^\infty \binom{k+\ell}{k}\ x^{\ell}$$ I am missing the negative 1 power. I tried substituting $1 = x - x...
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Use the Remainder Estimation Theorem to find a value of N for which the remainder of the series {eq}\displaystyle \sum_{n=0}^\infty \frac{(-1)^n}{n!} with respect to {eq}e^{-1} is guaranteed to be less than {eq}10^{-6}
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An effective price ceiling is: a. Always binding. b. Always an equilibrium price. c. Never a binding price. d. Always less than the equilibrium price. e. None of the above.
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You buy a new piece of equipment for $5,535, and you receive a cash inflow of $1,000 per year for 8 years. What is the internal rate of return?
9.00%
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Select one: a. Is nature b. Has the same essence as the form of the good c. Is the First Mover d. Sets nature in motion and does little else
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Suppose we take repeated random samples of size 20 from a population with a mean of 60 and a standard deviation of 8. Which of the following statements is true about the sampling distribution of the sample mean (x̄)? a) The distribution is normal regardless of the shape of the population distribution, because the samp...
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At the end of the first year, Chemtec is expecting sales of $250 million and costs of $125 million. There are no more required investments in either net working capital or plant and equipment. However, the existing plant and equipment will experience $50 million of depreciation. Assume that Chemtec's marginal tax rate ...
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The ABC Company has obtained 30-year financing of $7,900,000 to finance the purchase of equipment. The annual payments are $765,000 per year and the annual interest rate is 10%. In year 6, the company decides to replace the loan with a new 25-year loan at 9% per year compounded annually. The company will make payments ...
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In one period, a stock is currently selling for $50 per share. It has a dividend yield of 3.5% and a share price volatility of 18%. The risk-free interest rate is 5.5%. What is the price of a 2-month call option with an exercise price of $50, assuming 2 trading months in a year?
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An interest rate is 10.95% per annum expressed with continuous compounding. What is the equivalent rate with semiannual compounding?
11.26%
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Find the mass of the lamina described by the inequalities {eq}0 \leq x \leq 8, \; 0 \leq y \leq 4, \; \rho(x, y) = \frac{x}{y + 1}{/eq}.
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Diego Company manufactures one product that is sold for $65 per unit in two geographic regions: the East and West regions. The following information pertains to the company's first year of operations in which it produced 50,000 units and sold 40,000 units. Variable costs per unit: Manufacturing: Direct materials$24 ...
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When a sale of merchandise is made: A. can reduce the price of items purchased B. is updated with each transaction C. requires the buyer to pay shipping costs D. is complete when cash is received for goods sold E. is equal to Sales Revenue - Sales Returns and Allowances - Sales Discounts F. Cost of goods sold is ...
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A company's gross profit was $68,000 and its net profit was $25,500. The company's operating expenses are $22,800 and its cost of capital is 10%. Its average total assets were $300,000 and the company's tax rate is 35%. Its return on sales (in percentage terms) is closest to: a. 5.9% b. 10.6% c. 27.6% d. 40.4% e. ...
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Bonds Payable has a balance of $940,000 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? a. $28,000 gain b. $28,000 loss c. $27,000 gain d. $27,000 loss
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Calculate the fundamental vector product of {eq}r(u,v)=2u\cos(v)i+2u\sin(v)j+2k{/eq}
4uk
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Benson Electric issues $3.2 million of new stock and pays $480,000 in cash dividends during the year. In addition, the company took advantage of falling interest rates to borrow $2.18 million in a new bond issue and paid off existing bonds with a face value of $3.2 million. The company bought 640 of another company's $...
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The first step in the decision making process is: A) identifying the problem. B) making the decision. C) reviewing the actual impact of the decision. D) evaluating possible courses of action. E) determining possible courses of action.
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Calculate Net Operating Profit After Tax (NOPAT) for Ace Inc. given the following financial data for 2014: Net Income: $190,000 Tax Rate: 21% Depreciation Expense: $80,000 Interest Expenses: $60,000 Long-Term Debt (Market Value): $700,000 Common Equity (Market Value): $2,400,000 Total Assets: $3,000,000 Number of shar...
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What makes a good manager? a) being good at solving difficult problems b) knowing how to plan and schedule c) having good people skills and communication skills d) being good at managing people
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Calculate the work done by the force vector {eq}\overrightarrow{F}\left( x,y \right)=-yi+xj {/eq} from {eq}(3,9) {/eq} to {eq}(0,0) {/eq}, including the part of {eq}C:y={{x}^{2}} {/eq} parabola between {eq}(0,0) {/eq} and {eq}(3,9) {/eq}.
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Hercules Exercise Equipment Co. purchased a computerized measuring device two years ago for $88,000. The equipment falls into the five-year category for MACRS depreciation and can currently be sold for $39,800. A new piece of equipment will cost $280,000. It also falls into the five-year category for MACRS depreciatio...
$239,346
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Evaluate the line integral {eq}\int_C y dx + x dy + 6 dz{/eq} where {eq}C{/eq} is the straight line path from {eq}(1, 1, 1){/eq} to {eq}(3, 4, 0){/eq}.
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The University of Dayton began issuing preferred stock (with a $40 par value) in June 1990. The last 10 years of annual dividends are listed below. 2000 - $3.20 2001 - $3.00 2002 - $4.00 2003 - $2.20 2004 - $1.00 2005 - $2.30 2006 - $2.40 2007 - $2.50 2008 - $2.60 2009 - $2.70 The University of Dayton's pref...
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The gross margin percentage for Abin Company was 27% in 2015 and 24% in 2016. During 2016, the fixed manufacturing overhead per unit was $4.30 and the fixed operating expenses per unit were $1.50. The cost of goods sold in 2016 was $950,000. Based on this information, the net operating income for 2016 was: a. $155,000...
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Show that $z^n-(z-1)^n$ is divisible by $z-1/2$ for all positive integers $n$, by finding the remainder when $z^n-(z-1)^n$ is divided by $z-1/2$ and showing that it is $0$ for all positive integers $n$.
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A child is in danger of drowning in the Smith River. The child is being carried downstream at 2.6 m/s by a current that is 0.27 km wide, and the distance downstream that the child can be carried before rescue squads arrive on the scene is 0.43 km. Assume that the child is at rest with respect to the river at the moment...
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I have a function x * |x|. I used the first principles to find the derivative and got different results for positive and negative x. For positive x, I got 0, and for negative x, I got -2x. However, a derivative calculator says the answer is 2x. Why did I get -2x instead of 2x for negative x, and why is the answer not -...
2x
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In an economy, output is produced according to: Y = K^1/3L^1/3. The economy has 400 units of capital and 500 units of labour. The marginal products of capital and labour are: MPK = (1/3)(K^-2/3)L^1/3 MPL = (1/3)(K^1/3)L^-2/3. Capital earns a return of 5% and workers earn $2.50 per unit of labour. What is the marginal r...
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Given $k$ and $n$ two integers such that $k \geq n$. For $1 \leq i \leq n$ we consider the binomial : $$b_i = \frac{{k-i \choose n-i}}{{k \choose n}}$$ Calculate : $$\sum_{i=1}^n b_i$$
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Determine whether the sequence converges or diverges, and, if it converges, find {eq}\displaystyle \lim_{n \to \infty} a_n. \ a_n = \dfrac {\ln (5n)}{\ln (4n)}
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Which of the following is included as a subdiscipline by the Association for Psychological Science but not the American Psychological Association? a. epidemiology b. pharmacology c. child abuse d. forensic psychology
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The expected return on JK stock is 15.78 percent while the expected return on the market is 11.34 percent. The stock's beta is 1.62. What is the risk-free rate of return?
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McGraw Inc. manufactures 12,000 units of a part used in its production to manufacture guitars. The annual production activities related to this part are as follows: Direct materials$24,000 Direct labor60,000 Variable overhead54,000 Fixed overhead84,000 Hill Inc. has offered to sell 12,000 units of the same part to Mc...
a
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Company XYZ computes its inventory at lower of cost or market. The inventory was carrying at {eq}\$90 {/eq} per unit. The following data were assembled for the inventory: replacement cost {eq}\$60 {/eq}, net realizable value {eq}\$70 {/eq}, net realizable value less a normal profit margin {eq}\$65 {/eq} and market ...
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A 60-W light bulb radiates light uniformly in all directions. What is the maximum rate at which the light energy is absorbed by a large opaque penny with a radius of 1.4 cm? The light bulb is 3.0 m from the center of the penny.
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For a binomial random variable X with n=25, what value of p maximizes P(X=k)?
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I'm having trouble solving this optimization problem: Maximize the function $f(x,y) = 2xy$ subject to the constraint $x + y = 6$. I've already converted it to a Lagrangian function: $L(x,y,\lambda) = 2xy + \lambda(6-x-y)$. I took the partial derivatives and set them equal to zero: $ \frac{\partial{L(x,y,\lambda)}}{\par...
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The Smith Company purchased a machine on January 1, 2011 for $8,000. The machine has a useful life of 6 years and no residual value. For financial reporting purposes, the company uses straight-line depreciation. For tax purposes, the company uses MACRS depreciation and has chosen to claim a 5-year recovery period. For ...
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Find the yield to call for a 9% coupon, $1,000 par 15 year bond selling at $1012.80 if the bond is callable in 6 years at a call price of $1,090. The bond makes semiannual coupon payments. a) 8.86% b) 9.85% c) 8.71% d) 9.11%
B
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Fabio Corporation is considering eliminating a department that has a contribution margin of $25,000 and $70,000 in fixed costs. Of the fixed costs, $12,000 cannot be avoided. The effect of eliminating this department on Fabio's overall net operating income would be: a. an increase of $25,000 b. an increase of $43,000...
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Which of the following entities might become entitled to recognition of goodwill as a result of a business combination? I. Parent II. Subsidiary III. Controlling interest A) I only B) II only C) I & III only D) I, II & III
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Gain on redemption of bonds payable: Debit Credit a. x b. x c. x d. x
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A spherical balloon has a radius of 6.50 m and is filled with helium. The density of helium is 0.179 kg/m^3, and the density of air is 1.29 kg/m^3. The skin and structure of the balloon have a mass of 900 kg. Determine the maximum additional mass the balloon can lift off the ground in kg.
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Calculate the {eq}I_{ROR} {/eq} to the nearest whole percentage for the cash flow series. Year Cash Flow 0 -$500 1 200 2 300 3 300 4 100 a. {eq}I_{ROR} {/eq} = 8% b. {eq}I_{ROR} {/eq} = 13% c. {eq}I_{RO...
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Red Wings, Inc. maintains their accounting records on a cash basis. The following information is provided for 2017: Decrease in Wages Payable from 1/1 to 12/31$5 Cash collected from customers$100 12/31 Accounts receivable$5 12/31 Accounts payable$2 Cash paid to vendors$60 1/1 Accounts payable$5 1/1 Accounts receivabl...
$97
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You have a 100 mL sample of a solution of unknown NaOH concentration. An acid solution with a concentration of 0.400 M HCl will be used to determine the NaOH concentration. A burette (Figure 1) (click on image to see it) will be used to dispense the HCl solution. 0.35 g of NaOH was added to a 500 mL volumetric flask, a...
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The Fantastic Tool Company (Mexico Division) produced 100,000 saw blades during the year. It took 2 hours of labor per blade at a rate of $5.50 per hour. However, its standard labor rate is $5.00. Its labor efficiency variance was a favorable $55,000. What is Fantastic's standard hours allowed for a volume of 100,000 b...
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The rate of energy loss in a lossy medium is proportional to the _____ of the wave. a) frequency b) voltage c) power d) amplitude
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Given that $(p + q + r)^2 = 25$, $pq + qr + rp = 3$, and $p, q, r \in \mathbb{R}$, find the value of $p^2 + q^2 + r^2$.
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You are standing 20 cm directly away from the mid-point of a long, straight current-carrying wire that runs east/west and are experiencing a magnetic field {eq}B_1 {/eq} due to the wire. If you were to move to a new location that is 5 cm to the east of your initial location and 7cm closer to the wire, you would experi...
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How many years will it take you to pay off a mortgage of $100,000 if you are making monthly payments of $1434.71 and the rate of interest you are being charged is 12.3040% compounded semiannually?
10 years
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In financial statements, inventory is: a. listed before property, plant, and equipment on the balance sheet. b. classified as a current asset on the balance sheet. c. classified as a current liability on the balance sheet. d. reported on the income statement as a cost of goods sold expense.
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A company recently paid a dividend of $2.10 per share and declared an annual dividend of $2.76 to be paid one year from today. The dividend is expected to grow at a constant rate of 5 percent per year. If you require a return of 13 percent on this stock, what price should you pay for a share today?
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S Corp is an S corporation that has $200,000 of taxable income for the year. S corporation has the following distributions to its sole shareholder: Cash distribution $10,000 Property with fair market value of $35,000 (basis of $30,000) How much of the distribution is taxable to the shareholder as dividend income? A...
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The financial statements of Simon Co. include the following items: Income Statement For the Year Ended December 31, 2017 Net Income$494,000 Depreciation and amortization expense$356,000 Balance Sheets December 31, 2017 December 31, 2016 Accounts receivable$123,000$187,000 Inventory$180,000$134,000 Accounts pa...
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What value of P would make this investment acceptable if the interest rate is 12%? (Show your work) 5000 YEAR1 2 3 4 5 INCOME 10,000 10,000 10,000 10,000 10,000 COST 5000 2500 2500 2500 2500
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Let $I_n=\displaystyle\int_{[0,1]^n}\displaystyle\frac{n}{\frac{1}{x_1}+\cdots+\frac{1}{x_n}}dx_1\cdots dx_n$. Show that $\lim_{n\rightarrow\infty}I_n$ exists.
0
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Hirshfeld Corporation has not yet decided on a dividend policy. This year it expects its earnings to be $1,200,000 and its shares are currently selling for $75. If it decides on a payout ratio of 20% and it maintains this payout ratio in the future, then how much in dividends will be paid next year?
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You have just introduced your new organization to the concept of sensitivity analysis. A sensitive situation you are considering involves a project with a net present value of $65,000 and modified internal rate of return of 8%. Your CFO wants to evaluate the impact of a 10% increase and decrease in the project's requir...
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Assuming that the required return is 8%, determine the value of each of the following financial instruments. a) A zero-coupon bond with five years to maturity. b) A bond with five years to maturity and a 6% coupon rate with annual coupon payments. c) A bond with three years to maturity and a 6% coupon rate with annu...
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Nash Company sells specialty clothing. During 2010, Nash had a net income of $300,000. Included on its income statement were depreciation expense of $80,000 and amortization expenses of $5,000. During the year, Accounts Receivable decreased by $35,000, inventories increased by $28,000, prepaid expenses decreased by $15...
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Find the equation of the plane tangent to the surface $x^2+y^2+z^2=14$ at the point $P=(1,2,3)$.
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Glavine Company issues 6,000 shares of its $5 par value common stock having a fair value of $25 per share and 9,000 shares of its $15 par value preferred stock having a fair value of $20 per share for a lump sum of $310,000. The proceeds allocated to the common stock is _____.
$140,909
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Company A is evaluating a potential investment in a new project. The asset would have a cost of $741,477 and it would last for 5 years with no salvage value. The firm's discount rate is 13% and the project would have the following incremental cash flows: Year 1 = $223,525; Year 2 = $326,545; Year 3 = $217,605; Year 4 =...
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The following table shows an analyst's projected cash flows for a project: Year Cash Flow 0 - $200,000 1 $50,000 2 $100,000 3 $150,000 The project's WACC is 14%. The project has average risk. Calculate the project's MIRR. Do not round your intermediate calculations. Round your answer to two decimal places.
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You are analyzing the financial statements of Tran, Inc. and have gathered the following data. In order to provide a return on assets equal to 10%, what profit margin must the company earn given a debt-equity ratio of .6 and a total asset turnover ratio of 1.6? A. 6.25% B. 5.55% C. 6.34% D. 7.50% E. 9.00%
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Job 791 was recently completed. The job cost sheet for the job contained the following data: Total direct materials cost $500 Total direct labor cost $800 Number of units in the job 100 Total machine hours for the job 40 Total factory overhead for the year was estimated to be $250,000. Factory overhead is all...
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The Wet Corp. has an investment project that will reduce expenses by $15,000 per year for 3 years. The project's cost is $20,000. If the asset is part of the 3-year MACRS category (33% first-year depreciation) and the company's tax rate is 34%, what is the after-tax salvage value of the project?
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Consider the series whose terms are the reciprocals of the positive integers that can be written in base 10 notation without using the digit 0. Show that this series is convergent and the sum is less than 90.
90
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Watters Umbrella Corp. issued 25-year bonds 2 years ago at a coupon rate of 8.4%. The bonds make semiannual payments. If these bonds currently sell for 108% of par value, what is the YTM?
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Your firm's CFO has tasked you with evaluating the net present value associated with changing the firm's trade credit terms from net 30 days to 1/10 net from net 30 days to 1/10, net 45 days. Other pertinent assumptions include: Annual sales with existing credit terms = $5,000,000 Variable cost ratio with existing cr...
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Assume that a duopoly market is initially served by two firms charging a price of $100. If a new firm enters this market and the market price drops to $50, which of the following is correct? A) The firms will be able to charge higher prices than $50 in the long run. B) The firms will charge $50 forever. C) It will b...
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What stage of a team is usually slow to develop and occurs when the team begins to focus strongly on the assigned task and away from team-development issues? a. norming b. storming c. performing d. adjourning e. unifying
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The effect on the total revenue of a firm that charges the same price to all customers is that the demand curve is a. upward sloping. b. downward sloping. c. perfectly elastic. d. perfectly inelastic.
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Management authorized the purchase of a large quantity of inventory for early December. The purchase will have credit terms of 2/10, n/30. They will authorize payment by the discount rate. How will this decision affect the period's cash flows from the operations indirect method? A. It will increase this period's cash ...
B
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Stock A has a beta of 1.3, and Stock B has a beta of 0.9. The standard deviation of returns for Stock A is 0.18 (18%), while that for Stock B is 0.13 (13%). Which statement is CORRECT? A) If you were considering whether to include either of the stocks in your portfolio, you would normally consider them to be perfectly...
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The annual growth in dividends of Music Doctors, Inc. is expected to be: 8% starting year 0 till year 2 6% starting year 2 till year 5 3% starting year 5 and thereafter The required rate of return on Music Doctors, Inc. is 11% Last year's dividends per share were $2.75 What is the price of Music Doctors, Inc. today...
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Economy Bonds has 15-year bonds outstanding with a face value of $1,000 and a market price of $974. The bonds pay interest annually and have a yield to maturity of 4.03%. What is the coupon rate?
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A borrower takes out a loan for {eq}\$10,000 {/eq} at an {eq}8\% {/eq} per year interest rate. The borrower plans to make no payments for three years and then make four payments of {eq}\$2,000 {/eq} at the end of years {eq}4 {/eq}, {eq}5 {/eq}, {eq}6 {/eq}, and {eq}7 {/eq}. In addition to the {eq}\$2,000 {/eq} ...
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Is my application of the ratio test to the series $$\sum_{n=1}^\infty \frac{2n}{e^{n^2}}$$ correct, given that the ratio test yields a limit of zero, which implies convergence? Specifically, does my simplification of the ratio $$\frac{a_{n+1}}{a_n}$$ to $$\frac{\frac{2(n+1)}{e^{(n+1)^2}}}{\frac{2n}{e^{n^2}}}$$ and furt...
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Domose Inc. planned to use $150 of material per unit but actually used $147 of material per unit, and planned to make 1,100 units but actually made 900 units. The sales minus-volume variance for materials is: a. $29,400 unfavorable b. $2,700 unfavorable c. $30,000 favorable d. $2,700 favorable
c
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So I need to calculate the Laplace transform of $e^{-at}u(t - b)$. I can calculate the transform of $e^{-at}u(t)$ just fine and also the transform of $u(t - b)$, but I can't get the transform of $e^{-at}u(t - b)$ to work. My answer so far is: $\int_b^\infty e^{-at}u(t - b) e^{-st} dt = \int_b^\infty e^{-(s + a)t}dt =\f...
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Mango Fitness Center is considering an investment in some additional weight training equipment. The equipment has an estimated useful life of 10 years with no salvage value at the end of the 10 years. Mango's internal rate of return on this equipment is 8%. Mango's discount rate is also 8%. The payback period on this ...
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How many critical points does the function {eq}\displaystyle f(x) = e^x - x^3{/eq} have?
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At 495 K the rate constant is found experimentally to be 0.0235 s^-1 in a first-order reaction. If the initial concentration of the reactant is 0.235 M, what will be the concentration after 20 seconds?
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Bill Dukes has $100,000 invested in a 2-stock portfolio. $75,000 is invested in Stock X and the remainder is invested in Stock Y. X's beta is 1.50 and Y's beta is 0.70. What is the portfolio's beta? A. 1.30 B. 1.00 C. 0.98 D. 1.39 E. 1.44
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What is the probability that the mean body temperature of a sample of eight healthy adults will be greater than 98.4, given that body temperatures of healthy adults are normally distributed with a mean of 98.2°F and a standard deviation of 0.62°F?
0.1814
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A consumer maximizes utility, and at this optimum, the price of good Y is twice the price of good X. The consumer purchases a positive amount of both goods. If the price of good X increases and the price of Y remains constant, then what is the effect on the consumer's utility-maximizing choice? A) Buy more of both goo...
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Which of the following factors would a manager consider when planning the organization's dividend strategy? a) The target capital structure. b) The debt capacity. c) The cash flow from operations. d) The target payout ratio.
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Suppose a jar of DeLux popcorn that is ultimately sold to a customer at Friendly Groceries is produced by the following production process: Name of Company; Revenues; Cost of Purchased Inputs --- respectively: Fulton Family Farm; $2.00; $0 DeLux Popcorn Co.; $5.00; $2.00 Friendly Groceries; $6.50; $5.00 Suppose the...
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Your firm has been in business for 6 months. Over this period, you have generated $5 million in revenues, and your costs have been $4 million. Your investors have funded your firm with $2 million in equity and lent you $2 million. Your firm can't pay back the loan because you don't have the funds. What is your Return o...
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Which of the following is a form of legitimate power? a. Money power b. Coercive power c. Referent power d. Expert power
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