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On January 1, 2014, Jensen Corporation purchased a trademark for $300,000. It has a useful life of 20 years. Jensen used the trademark to produce $200,000 worth of revenue in 2014 and incurred $125,000 in advertising and promotion costs in 2014. Jensen's income before income tax for 2014 should be: a. $75,000 greater ...
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Show that for a rectangular parallelepiped with edges $a,b,c$, the result $\large \left ( \frac {x^2}{a^2}+\frac {y^2}{b^2}+\frac {z^2}{c^2} \right ) \rho = 3 \left ( \frac {\partial u}{\partial x} \right )^2 + 3 \left ( \frac {\partial v}{\partial y} \right )^2 + 3 \left ( \frac {\partial w}{\partial z} \right )^2$ fo...
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The Clean-You-Out Car Wash Company company has projected next year's activity as indicated below. Calculate the company's Operating Cash Flow. (The company's marginal tax rate is 35%.) Next Year's Projection: Year 1 Sales $250,000 Cost of Goods Sold $100,000 Administrative Expense $20,000 Depreciation $40,000 Inter...
$82,250
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A stock is expected to pay a year-end cash dividend of $2.00, and the dividend is expected to grow at a constant rate of 5% per year. The stock has a beta of 1.2. If the market risk premium is 7%, and the risk-free rate is 5%, what is the stock's expected return for the coming year?
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What is the price-elasticity coefficient for a straight-line demand curve that is relatively steep? A. It is very close to one. B. It is zero. C. It is infinite. D. None of the above.
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The Wings and Wheels Company has an opportunity to invest in a new product line. They are considering an investment of $250,000 in development costs. It is estimated that marketing and sales will generate $1,123,800 of revenues over the next four years, with $433,800 of these revenues coming in the first year. If the ...
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Determine the payback period for a $50,000 investment with the following cash flows: Year 1 $10,000, Year 2 $15,000, Year 3 $20,000, Year 4 $10,000. A. 2.5 years B. 2.75 years C. 3.25 years D. 3 years
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Which of the following is a work challenge stressor? A. Work complexity B. A positive life event C. Role overload D. A negative life event E. Role ambiguity
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Evaluate the integral $$\int_{0}^{\pi/2}{\arctan(2\cos^2 x)\over \cos^2 x}\mathrm dx$$ given that $\phi={\sqrt{5}+1\over 2}$ and $$\int_{0}^{\pi/2}{\arctan(2\cos^2 x)\over \cos^2 x}\mathrm dx={\pi\over \sqrt{\phi}}.$$
\frac{\pi}{\sqrt{\phi}}
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Suppose that the expectations theory holds, and that liquidity and maturity risk premiums are zero. The annual rate of interest on a 2-year U.S. Treasury bond is 8.5%. What is the rate of interest on a 1-year U.S. Treasury bond?
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Selected accounts from the financial records of N.Y. Enterprises are provided below. Cash on hand$32,000 Cash equivalents32,000 Inventory357,000 Accounts receivable (net)280,000 Selling expenses145,000 Administrative expenses95,000 Interest revenue8,500 Compute basic cash flow ratios for N.Y. Enterprises using the in...
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If the Fed lowered its required reserves from 10 percent to 9 percent, other things equal, the money supply would _____. A. be unchanged B. rise C. fall D. change in an unpredictable manner
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Seamus Company is considering eliminating its umbrella division, which reported an operating loss for the recent year of $67,000. The division sales for the year were $289,800 and the variable costs were $225,000. The fixed costs of the division were $160,000. If the umbrella division is dropped, 40% of the fixed costs...
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Determine which of the following Riemann sums is an upper sum, and which is a lower sum for the function {eq}f(x) = 3e^{0.2x}{/eq} over the interval {eq}[1, 2]{/eq}. The sums are: a) {eq}\sqrt{e} + \sqrt[4]{e^{\frac{3}{2}}} + \sqrt[4]{e^2}{/eq} b) {eq}\sqrt{e} + 2\sqrt[4]{e^{\frac{3}{2}}} + 3\sqrt[4]{e^2}{/eq}
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Brutus Inc is considering the purchase of a new machine for $500,000. It is expected that the equipment will generate annual cash inflows of $100,000 and annual cash outflows of $37,500 over its 10 year life. Annual depreciation is $50,000. Compute the cash payback period. a. 4.44 years. b. 10 years. c. 8 years. d...
c
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What does the savings multiplier show? a. how a change in taxes will affect GDP b. how a change in autonomous spending will affect GDP c. how a change in consumption will affect GDP d. how a change in investment will affect GDP e. how a change in government spending will affect GDP
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Consider the following equation, derived from a firm's financial statements: Current assets $100 Fixed assets 900 Long-term debt 600 Equity 200 Total assets $1,000 Total liabilities and equity $1,000 The interest rate on new debt is 10%, and the firm's tax rate is 40%. What is the firm's Weighted Average Cost of Ca...
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Determine and interpret a 95% confidence interval for the mean amount of time Americans aged 15 or older spend eating and drinking each day. (a) With 95% confidence, we can say the mean amount of time Americans aged 15 or older spend eating and drinking each day is between [x] and [y] hours. (b) There is a 95% probab...
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Suppose the own price elasticity of market demand for retail gasoline is -0.6, the Rothschild index is 0.4, and a typical gasoline retailer enjoys sales of $1,800,000 annually. What is the price elasticity of demand for a representative gasoline retailer's product? Round your answer to 2 decimal places.
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I want to find the order of $7\Bbb Z$ in $\Bbb Z /30 \Bbb Z$.
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Sangeeta Industries is considering replacing an aging Evaporator that is presently used in its production process. The following information is available: Old Evaporator Replacement Machine Original cost $55,000 $45,000 Remaining useful life in years 3 3 ...
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An investor has a $10,000 portfolio, which includes $4,000 invested in stock X and $6,000 invested in stock Y. X's required return is 15%, and Y's required return is 10%. What is the required return on the portfolio? a. 9% b. 11% c. 13% d. 12%
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A firm may choose a functional structure primarily because it A. centralizes decision making. B. provides for departmental specialization. C. centralizes coordination. D. reduces the burden on top management.
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As the manager of a waste recycling company, Ruth has been asked to attend a seminar on green living. At the seminar, she spends considerable time interacting with her colleagues from the industry and discussing the various events and innovations that are taking place. Ruth feels it is extremely important for her to re...
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Use the margin of error, confidence level, and standard deviation to find the minimum sample size required to estimate an unknown population mean, given a margin of error of $120, a confidence level of 95%, and a standard deviation σ = $522.
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Use the definition to compute $\sinh(\ln 2)$ by rewriting it as $\frac{e^{\ln 2} - e^{-\ln 2}}{2}$ and finding the exact value.
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I want to show that $2^{p-1}(2^p-1)\equiv1$ mod $9$ for even perfect numbers of the form $2^{p-1}(2^p-1)$.
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Find an estimate of the volume of a solid that lies below the surface {eq}z=y^2-2x^2{/eq} and above the rectangle {eq}R=(-1,3) \times (0,2){/eq}. Use Riemann sum with {eq}m=4 \enspace and \enspace n=2{/eq} and choose the sample points to be the upper left corners.
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Credit risks are: A. the possibility that a borrower will not have sufficient financial resources to meet interest and principal payments. B. the possibility of a borrower's financial condition will decline to the point that it will not be able to pay back a loan. C. the possibility that the borrower's promise to re...
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On January 1, 2014, when its $3,000,000, 8% bonds were acquired at 101.6, Southern Railway Inc. recorded a balance in the Bonds Payable account of: a. $2,947,200 b. $3,000,000 c. $3,048,000 d. $3,094,800 e. $3,100,800
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Is there another way to solve this problem without using the graph? Find the total area between $f(x) = x^4 - 4x^2 + 3$ and the x-axis on the interval $[-2,2]$.
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What sample size do you need to estimate, with 95% confidence, the mean time employees spend on a data entry job within 5 hours of the true mean, assuming the standard deviation is 10 hours and using a significance level of 0.05?
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What quantum number of the hydrogen atom comes closest to giving a 540-nm-diameter electron orbit?
71
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Why does this company pay a higher salary than the average male in the organization given that the mean salary is $47,669 and the median is $45,000? How many males must have salaries of more than $77,000 to justify this salary, considering the mean and median of the male employees' salaries are given by {eq}\underset{x...
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Assume a simple linear regression model as follows: y = β0 + β1x + ɛ We know n = 50, MSE = 25, ∑i = 1 to 50 (xi - xbar)2 = 1250 and ∑i = 1 to 50 (yi - ybar)2 = 4687.5. Compute the 95% confidence interval for β1. Round answer to 3 decimal places.
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The U.S. government should: A. run only a balance of payments surplus. B. never run a balance of payments deficit. C. run only a balance of payments deficit. D. run a current account deficit equal to its national savings rate.
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Todrick Company is a merchandiser that reported the following information based on 1,000 units sold. Sales: $300,000 Beginning merchandise inventory: $15,000 Purchases: $210,000 Ending merchandise inventory: $24,000 What is the gross profit for Todrick Company under absorption costing?
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A company receives an order for 1,000 widgets on March 10, 20XX. Production starts the same day, and the order is complete on March 20, 20XX. Assuming the financial statements are prepared on March 31, 20XX, at what value would the work in process inventory be reported on the balance sheet? A. Cost of production up to...
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How can I find the exact number of real roots of a polynomial, such as $$3x^5 -10x^3 -120x +30 = 0$$, and, in general, for all types of polynomials, given that Descartes' Rule of Signs only provides the possible number of roots?
3
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A company has two departments, Al and Berk, in which it uses a process cost system. The Al Department completes units and transfers them to the Berk Department. From there the units are transferred to the next stage of the process. All materials are added at the beginning of the process in the Al Department. The Al Dep...
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The impact of higher interest rates on the price of fixed rate bonds is: a. Decrease in price b. Increase in price c. No change in price d. Not enough information
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AC Corporation is evaluating a project with the following free cash flows and weighted average cost of capital: Year 0: -$500.00 Year 1: $110.00 Year 2: $120.00 Year 3: $130.00 Year 4: $140.00 Discount rate: 10% Calculate the project's NPV.
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A firm's capital is composed of 30% debt, 10% preferred stock, and 60% common stock. If the required returns are 15% for the debt, 10% for the preferred stock, and 18% for the common stock, what is the firm's weighted average cost of capital (WACC)? a. 13.4% b. 14.0% c. 14.5% d. 15.0%
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A firm pays its workers $12.50 per hour. When the firm hired an additional worker, it hired 1.5 new workers. The marginal product of the first worker is 20 units, and the marginal product of the second worker is 10 units. What is the marginal cost of production assuming each worker works 40 hours per week?
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Find the length of the curve: {eq}y = \frac{2}{3}(x - 1)^{\frac{3}{2}}, \quad 0 \leq x \leq 9{/eq}.
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What is the most likely diagnosis for a patient with a history of myocardial infarction (MI) who develops left axis deviation, QRS duration of 105 ms, and an inferior wall QRS voltage of 25 mm on an electrocardiogram (ECG)? A. Right ventricular aneurysm B. Recurrent inferior STEMI C. Recurrent LAD STEMI D. Recurrent RC...
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An asset has an expected return of 17 percent and a beta of 1.85. The risk-free rate is 4.18 percent. What is the risk premium on the market? A) 4.26 percent B) 7.85 percent C) 9.13 percent D) 12.79 percent
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A sample of 250 observations is selected from a normal population with a mean of 106 and a standard deviation of 12. Determine the standard error of the mean.
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Gardner Motor Company must replace an old machine with a new state-of-the-art autoemblazoning machine. The old machine was bought for $55,000 nine years ago and has a current book value of $5,000. (The old machine is being depreciated on a straight-line basis over a ten-year useful life.) The new machine costs $75,000....
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Find {eq}y'(e){/eq} if {eq}y = \ln(5x + 2){/eq}.
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Which of the following adjustments may be reversed? A. the adjustment to accrue Salaries Payable B. the adjustment for Petty Cash replenishment C. the adjustment to allocate Prepaid Insurance to the current period D. the adjustment to record Depreciation Expense
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Since cognitive and behavioral therapies change troublesome thoughts and behaviors, respectively, without looking for the origins of these thoughts and behaviors, these therapies would be considered _____ therapies. a. directive b. nondirective c. action d. insight
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The beta of a firm's stock is an estimate of the: A. Systematic risk of the stock. B. Firm specific risk of the stock. C. Diversifiable risk of the stock. D. Unsystematic risk of the stock. E. Total risk of the stock.
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Required: ABC paid a dividend of $4.50 last year. The dividend is expected to grow at a constant rate of 6% for the foreseeable future. If the required return is 14%, what is the expected value of the next dividend? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
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As more and more of a variable input (e.g. labor) is added to a given amount of fixed input (e.g. capital), at some point: a. MP will increase because of specialization. b. TC will increase by increasing amounts because of diminishing returns. c. MP will decrease because of diminishing returns. d. TP will decrease ...
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At the break-even point for a firm in a competitive industry, its total revenue: A. will equal its total cost. B. will exceed its total variable costs. C. will equal its total fixed costs. D. minus its variable costs will equal its fixed costs. E. minus its fixed costs will equal its marginal revenue.
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How do you find the limit of #(x^(3 sin x))# as x approaches 0?
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Assuming the price of the good increases, we know for sure that: a. equilibrium quantity will decrease b. equilibrium quantity will increase c. equilibrium quantity will remain the same d. equilibrium price will decrease e. equilibrium price will increase f. equilibrium price will remain the same
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Arnold Ken began blogging about Apple products during his fourth year of medical school. Kim's website, MacRumors.com became so successful that he decides to give up his medical career and work full time on his Website despite nearly $200,000 he had invested in his education. In making his decision, Kim decided to igno...
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The Bank of Canada's purchases of government securities in the open market are part of: a. fiscal policy. b. countercyclical monetary policy. c. expansionary monetary policy. d. All of the above are correct.
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Altgeld Delivery is considering buying a new delivery truck for $47,000. The truck will bring in extra revenue in the form of delivery charges, amounting to $15,000 per year. The truck has a 5 year life, and Altgeld is depreciating the truck by the straight-line method. The truck's salvage value is $10,000 at the end o...
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In a test of {eq}H_{0} : \mu = 50{/eq} versus {eq}H_{a}: \mu < 50{/eq}, the sample data yielded the test statistic z = -1.97. Find the p-value for the test.
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Why is the escape radius of the Mandelbrot set 2? Specifically, in the inequality $|c|≤2 \Rightarrow|z_{n+1}|≥|z_n|^2−|c|>2|z_n|−2$, where does $2|z_n|−2$ come from?
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A firm selects 200 expense reports at random to audit. What is the probability that more than 40 of these 200 sampled reports will be incorrect when, in fact, only 10% of the firm's reports are improperly documented? Use and justify normal approximation to binomial.
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On December 31, 2017, the accounts receivable balance of T Company is $450,000 and the allowance for doubtful accounts has a credit balance of $8,000 prior to any adjustment for the current year's bad debt provision. The management estimates that 2% of the current year's gross sales will be uncollectible. The current y...
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Calculate the weighted average cost of capital given the following information: Tax rate: 40% Debt: $6,000,000 Book value of debt: $10,000,000 Market value of debt: $5,000,000 Yield to maturity: 8% Equity: Number of shares: 500,000 Market value of equity: $5,000,000 Required rate of return: 9%
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What is the probability that a randomly selected tire lasts between 57,000 and 59,000 miles, given that the tread wear is normally distributed with a mean of 60,000 miles and a standard deviation of 2,000 miles?
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The following data are for the two products produced by Tipton Company: H K Sales $375,000 $500,000 Variable costs 150,000 200,000 Total fixed costs are $250,000, and the company can only produce 30,000 total units. What is the breakeven point in uni...
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Find the flux of $\mathbb{v}$ downwards (negative z-component) through the paraboloid $z = 1 - x^2 - y^2$, where $x \geq 0$ and $z \geq 0$, given that $\mathbb{v} = \operatorname{curl}\mathbb{u}$ and $\mathbb{u} = (xy, xz^2, x^2y)$.
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Let $f$ be an arbitrary function and define $$\hat f(0) = 0, \ \ \hat f(k) = \int_0^1 f(t) e^{-2\pi i kt} dt \quad k \in \mathbb{Z}, k \neq 0$$ Calculate the following (if they exist): $$\lim_{k \to \infty} \left( 2\pi ik + 1 - 1 \right) \hat f(k)$$ I have shown that $\hat f$ is analytic in $\mathbb{C}$, hence continuo...
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In-state tuition fees at Virginia Commonwealth University (VCU) was $9517 for the 2011-2012 academic year. The CPI for 2011 as 224.9 and the CPI for 2012 was 177.1. What is the 2011-2012 tuition in 2001 dollars? a. $1270 b. $1642 c. $7494 d. $7875 e. $12,086
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If $a,b \in \Bbb Z$, let $T(a,b) = \{ma+nb \mid m,n \in \Bbb Z\}$. Prove that $T(a,b) = T(1,1)$ if and only if $(a,b) = 1$.
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Presented below are selected account balances on December 31, 2011 and 2010. 2011 2010 Wage expense $2,400 $2,000 Accounts receivable 800 600 Prepaid insurance 600 400 Wages payable 500 300 Calculate the amount of cash paid for wage expenses during 2011.
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The payment of a previously declared cash dividend has an overall effect of: A. Reducing retained earnings and reducing liabilities by the amount of the dividend. B. Reducing retained earnings and increasing contributed capital by the same amount. C. Reducing assets and reducing liabilities by the amount of the divi...
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Solve the definite integral by the limit definition: $$\int_{-1}^1 x^3 dx$$. Where did I go wrong in my steps? $$\int_a^bf(x)dx= \lim_{n\rightarrow \infty} \sum_{i=1}^n f(c_i)\Delta x_i$$ $$\Delta x_i : \frac{b-a}{n} = \frac{1-(-1)}{n} = \frac{2}{n}$$ $$f(c_i) : a + i(\Delta x_i) = \left(-1+\frac{2i}{n}\right)$$ $$\lim...
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An understanding of internal control is required during the: a. planning and preengagement stage of the audit. b. interim stage of the audit. c. completion stage of the audit. d. All of the above.
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Diluted EPS does not reflect the impact of the exercise of stock options and the issuance of convertible securities because: I) the securities would reduce the number of shares outstanding. II) the securities could affect net income. III) the securities would be accounted for as a debt issue. IV) the securities wou...
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According to the accounting equation, if assets increased by $300 and liabilities increased by $100, then: a. Common stock and retained earnings would decrease by $200. b. Common stock and retained earnings would increase by $200. c. Common stock would increase by $200, and retained earnings would decrease by $200. ...
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Calculate the molar solubility of {eq}Ag_{3}PO_{4} (K_{sp} = 1.8 \times 10^{-18}) {/eq} in 0.30 M {eq}AgNO_{3} {/eq}
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A car travelling at 30 m/s (about 65 mph) has a collision with a stationary motorcyclist after a 5-second reaction time. If the average deceleration during the collision is -70 m/s^2, then what is the distance the motorcyclist travels before the collision? a. 87.5 m b. 90 m c. 105 m d. 325 m
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How to solve $\lim\limits_{x\to 0} \frac{x - \tan(x)}{x^2}$ Without L'Hospital's Rule? you can use trigonometric identities and inequalities, but you can't use series or more advanced stuff.
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Evaluate the integral. {eq}\int_0^1 (x^3-5)e^xdx
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$$ \text{Maximize } Z = 3x_1 + x_2 $$ $$ \text{Subject to } -x_1 + x_2 \le 0 $$ $$ x_1 + x_2 \le 1 $$ $$ x_1 \ge 0, x_2 \ge 0 $$. I have transformed the inequalities to equalities and introduced slack variables $x_3$ and $x_4$. Thus, $$ -x_1 + x_2 + x_3 = 0 $$ $$ x_1 + x_2 + x_4 = 1 $$ Now, I am not sure about the next...
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Materials purchased were $6,000. Direct materials were $4,000 and indirect materials were $2,000. The entry to record the transfer of materials from the materials storeroom would include: a. a debit to work-in-process of $6,000 b. a debit to factory overhead of $6,000 c. a credit to finished goods of $6,000 d. a de...
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Assuming that the distribution of the amount that American households spend on electricity is approximately normal with mean $1140 and variance $2500, find the probability that the mean amount spent on electricity by a random sample of 25 American households is between $1150 and $1200.
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An increase in government spending financed by a tax increase will, according to classical economists, result in which of the following? (a) an increase in investment and no change in the interest rate (b) an increase in both investment and the interest rate (c) a decrease in investment and no change in the interest...
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The Blending Department of Luongo Company has the following cost and production data for the month of April: Costs: Work in process, April 1      Direct materials: 100% complete $100,000      Conversion costs: 20% compelete $70,000 ...
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ABC Corporation had the following inventory balances at the beginning and end of the year: BeginningBalanceEndingBalance Inventory$50,000$80,000 Accounts payable$28,000$20,000 The cost of goods sold during the year amounted to $640,000. ABC Corporation's net cash flow from operating activities was: a) $602,000 b...
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Morton Company makes a single product and uses a standard costing system that applies overhead on the basis of direct labor cost. They recently used 3,200 labor hours at $15 per hour. During the period, they incurred overhead at $22,000 and 2,400 units of product. They had budgeted 3,400 labor hours at a rate of $16 pe...
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Everything else being equal a lower corporate tax rate: A. will increase the WACC of a firm with debt and equity in its capital structure B. will not affect the WACC of a firm with debt in its capital structure C. will decrease the WACC of a firm with some debt in its capital structure D. will decrease the WACC of ...
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Which of the following can be used to evaluate the distribution of cash flow to the suppliers? A. Debt to equity ratio B. Cash flow yield C. Interest coverage ratio D. Times interest earned
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Find the limit if it exists (or show that the limit does not exist): {eq}\lim_{(x,y) \rightarrow (0,0)} \frac{ 2x^2y}{x^4+8y^2} {/eq}
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Why does the $dt$ in Ito's general formula match the upper limit of the integral, $t$, in the expression: $$ f(t, B_t) = f(0,0) + \int_0^t \frac{df}{dx}(s, B_s) dB_s + \int_0^t \frac{df}{dt}(s, B_s) ds + \frac{1}{2}\int_0^t \frac{d^2f}{dx^2}(s, B_s) ds $$ Specifically, why am I having trouble understanding why I should...
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Data taken from a manufacturer's financial statements for the fiscal years 2008 and 2009 are presented as follows: 2008 2009 Sales revenue $500,000 $600,000 Cost of goods sold 200,000 240,000 Gross margin 300,000 360,000 Varia...
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Let $$S_k = \sum_{i=1}^n i^{k-1} = 1^{k-1} + 2^{k-1} + \cdots + (n-1)^{k-1} + n^{k-1}$$ where $k, n \in \mathbb{N}$ and $k \leq n$. Show that $$S_k \leq \frac{1}{k} \left( n^k + n^{k-1} + \cdots + n^2 + n\right)$$
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The demand curve is {eq}P = 100 - 0.1Q {/eq}. For the following questions, what is the value of consumer surplus? {eq}MC {/eq} is constant at {eq}$20 {/eq}.
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Prove that in a Noetherian ring $R$, all of its prime ideals $\mathfrak{p}$ are finitely generated.
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find the volume of the area bounded by y=4-x^2, y=0 and rotated about x=-1
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In the short run, the cost of _____ is variable, whereas the cost of _____ is fixed. A. electricity; wages B. labor; capital C. capital; raw materials D. capital; labor E. raw materials; labor
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Which of the following are characteristics of a structured warranty? A) Cash refunds to customers for damaged products. B) Product recalls to customers for damaged products. C) Service calls to customers for replacement of damaged parts. D) Use of high quality components when building the product.
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