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Compute the expected number of empty cells and the variance of the number of empty cells in a randomly chosen r-bins problem with n balls, when r = 1000 and n = 100.
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BusyBody Company expects its November sales to be 25% higher than its October sales of $220,000. Purchases were $80,000 in October and are expected to be $100,000 in November. All sales are on credit and are collected as follows: 30% in the month of the sale and 65% in the following month. Purchases are paid 30% in the...
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Fulkerson Manufacturing wishes to maintain a sustainable growth rate of 9.25 percent a year, a debt-equity ratio of .50, and a dividend payout ratio of 27.5 percent. The ratio of total assets to sales is constant at 1.25. What profit margin must the firm achieve in order to meet its growth rate goal?
10.63%
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What are the two main reasons why many developing countries experience financial crises? a. persistent large fiscal deficits and asset price bubbles b. lack of financial oversight and large public debt c. large public debts and a lack of capital controls d. powerful private financial sector and poor fiscal policies
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A firm has 5 million shares of common stock and 250,000 shares of preferred stock outstanding. The common stock is selling for $10 per share and the preferred stock is selling for $40 per share. The firm wants to raise the funds as follows: 85% from long-term debt; 10% from new common stock; 5% from preferred stock. ...
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Sparty Corporation issued a five-year, 7% bonds with a total face value of $500,000 on January 1, 2017. Interest is paid annually on December 31. The market rate of interest on this date was 10%. Sparty uses the effective interest rate method. Required: Determine the proceed of the bond sale on 1/1/17.
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Assume the inputs to a process are X and Y. Which of the following is the correct equation for the output of the process? a. Output = X - Y b. Output = X + Y c. Output = Y - X d. Output = k(X + Y)
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Project 1 Probability Return Standard Deviation Beta 50% chance 22% 12% 1.1 50% chance - 4%. Project 2 Probability Return Standard Deviation Beta 30% chance 36% 19.5% 0.8 40% chance 10.5% 30% chance - 20%. Project 3 Probability Return Standard Deviation Beta 10% chance 28% 12% 2.0 70% chance 18% 20% chance - 8%. Ass...
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Which of the following would be the best definition of operations management? a) The process by which customer expectations are met. b) The transformation of outputs to inputs while adding value. c) The manufacturing of products. d) Any of these is a good definition.
B
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Find the volume of the solid obtained by rotating the region in the first quadrant bounded by {eq}y= \sqrt{4x} {/eq} and {eq}x=16 {/eq} about the line {eq}x=16 {/eq}.
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Find the derivative with respect to $t$: $$\frac{d}{dt}\int_t^7\sqrt{4+\sin^3 x}\ dx$$
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Power Serve Company expects to operate at 84% of productive capacity during July. The total manufacturing costs for July for the production of 29,400 batteries are budgeted as follows: Direct materials $351,000 Direct labor $137,000 Variable factory overhead $39,900 Fixed factory overhead $79,000 Total manufacturi...
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A hollow metal sphere has 7 cm and 11 cm inner and outer radii, respectively, with a point charge at its center. The surface charge density on the inside surface is {eq}{\text{ - 150 nC/}}{{\text{m}}^{\text{2}}} {/eq}. The surface charge density on the exterior surface is {eq}{\text{ + 150 nC/}}{{\text{m}}^{\text{2}}}...
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Assets = $1,000, Net working capital = $200, Long-term debt = $600 What is the value of Shareholders' equity?
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How is it that $f^{-1}(2) = -1$? Shouldn't $f^{-1}(2) = 0$? Since $f(x) = 3x^2 + 2 \implies f^{-1}(x) = \sqrt{\frac{x-2}{3}}$?
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In May, Bolero Corporation sold a piece of equipment for $60,000 cash. This equipment had cost $100,000 and had accumulated depreciation of $42,000 as of May 1, Bolero's books show the following: Sales revenue $ 240,000 Depreciation expense $ 54,000 Cost of goods sold $ 144,000 What is the amount of net income for ...
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Assume a company issues a bond with a face value of $10,000 and a coupon rate of 8 percent that is sold for $9,500. The maturity of the bond is 10 years. Which of the following is the journal entry for the interest payment at the end of the first year? a. Cash 600, Discount on Notes Payable 200, Interest Expense 800 ...
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One year ago, the Jenkins Family Fun Center deposited $5,000 in an investment account for the purpose of buying new equipment four years from today. Today, they are adding another $6,800 to this account. They plan on making a final deposit of $9,000 to the account next year. How much will be available when they are re...
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Suppose the government decided to increase the tax rate on the wealthy in order to reduce the budget deficit. Assume the economy is in the Keynesian range of the aggregate supply curve. In the long run, increasing the tax rate on the wealthy is most likely to: a) lead to a higher price level and higher real GDP. b) l...
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You have a budget of {eq}\$500 {/eq} to spend on a party. You can buy either potato chips for {eq}\$10 {/eq} per bag or dip for {eq}\$5 {/eq} per jar. a. Draw your budget constraint (with dip on the Y-axis). b. Suppose you choose to spend all your money on chips and dip. Write out your utility-maximizing rule ({eq...
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Which of the following is not part of the American Accounting Association's definition of accounting? a. Distinguishing. b. Determining. c. Sharing. d. Documenting.
c
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Based on the following scores, what is the 90% confidence interval around the sample mean? 11, 11, 12, 13, 15 a) 12 +- .57 b) 12 +- 3.29 c) 12 +- 4.30 d) 12 +- .82
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An important advantage of specialty advertising is its: A) ability to significantly lower the cost of sales calls. B) low specific costs. C) versatility. D) potentially broad reach.
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Which of the following is an example of a realized loss that would not be allowed in the current year? a. ordinary dividends b. property held as a capital asset c. nonliquidating distributions d. stock held for less than one year.
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The most recent financial statements for Avondale Co. are shown here: Income Statement Sales = $66,200 Costs = 52,900 Taxable Income = $13,300 Taxes (40%) = 5,320 Net Income = $7,980 Balance Sheet Current assets = $33,700 Fixed assets = 57,900 Total = $91,600 Debt = 47,000 Equity = 44,600 Total = $91,600 ...
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Evaluate the definite integral {eq}\int_{0}^{3} \frac{x}{\sqrt{9+x^2}} dx{/eq}.
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The company has an offer from Duvall Valves to produce the part for $2,000 per unit and supply 1,000 valves (the number needed in the coming year). If the company accepts this offer and shuts down production of valves, production workers and supervisors will be reassigned to other areas. The equipment cannot be used el...
$55,000
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Assume that the population of heights of female college students is normally distributed with a mean of 64.36 inches and a standard deviation of 5.78 inches. If 25 female college students are randomly selected, find the probability that they have a mean height greater than 65.83 inches.
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Statement 1: A rise in investment demand (I), accompanied by an equal fall in government expenditure (G), does not change the equilibrium output. Statement 2:: A rise in investment demand (I), accompanied by an equal fall in government expenditure (G), does not shift or twist the Aggregate Demand Curve. Pick the corr...
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U.S. Garbage Inc. is considering a 5-year project that will produce cash inflows of $26,000 a year followed by $23,000 in year five. The initial cost of the project is $67,000. What is the internal rate of return if the initial cost increases to $70,000?
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For the following sample of 20 data: 3, 4, 6, 7, 8, 8, 8, 8, 9, 10, 12, 15, 16, 16, 18, 20, 21, 22, 24, 27. Obtain the following quantities: Standard Error of Mean
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Basseler Corporation began operations on January 1, 2008, and depreciated an asset for three years using the double-declining-balance method. At the beginning of the fourth year, a physical count indicated that the asset still had a useful life of seven years. In determining the depreciation expense for 2011, what is t...
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Evaluate the Riemann sum for {eq}f(x) = 1 - \frac{1}{3}x; \quad 2 \leq x \leq 14{/eq}, with six sub intervals, taking the sample points to be left endpoints.
-16
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Suppose that you have just received a shipment of 100 televisions and 5 of them are defective. If 20 televisions are randomly selected from the shipment, what is the probability that 5 of them will be defective?
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A natural monopoly, such as a local electricity provider, is the result of: i. a firm owning or controlling a key input used in the production process. ii. economies of scale existing over a wide range of output. iii. long-run average total costs declining continuously as output increases. iv. long-run total costs ...
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In a large closed economy with perfectly competitive markets for output and labor, a. the number of firms in the market for output does not have to be equal to the number of workers in the market for labor. b. the number of firms in the market for output is equal to the number of workers in the market for labor. c. the...
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The radius of a sphere is increasing at a constant rate of 0.1 centimeters per second. In terms of the volume, $V$, of the sphere, which of the following is the rate at which the surface area of the sphere is increasing? a) 1.2πV cm$^2$ per second. b) 0.8πV cm$^2$ per second. c) $\frac{4}{3}$πV cm$^2$ per second. d) 0....
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Is it possible to apply L'Hopital's rule to evaluate the limit $$\lim_{x \to 0} \frac{\ln(1+x^3)}{x^2}$$ if the function is not differentiable at $x=0$, given that $$\lim_{x \to 0} \frac{d}{dx} \ln(1+x^3) = 0$$ but $$\lim_{x \to 0} \frac{d}{dx} x^2 = 0$$ as well, which would make the rule applicable in this case?
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Evaluate {eq}\int_C \mathbf F \cdot d\mathbf r{/eq}, where {eq}\mathbf F(x,y) = -y\mathbf i + x\mathbf j{/eq} and {eq}C{/eq} is the line segment from point P(2,0) to Q(0,5)
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Megan is considering a project with a discounted payback period that will not fully recover the investment. Given this, which of the following statements is true? A) The project's internal rate of return must be greater than the required rate of return. B) The project must have sufficient cash flow to cover its proje...
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In computing the direct materials cost variance, the cost of 2,120 pounds of direct materials used in the production of 1,500 units of Product D (total cost of direct materials used = $13,740) at a standard cost of $7 per pound is compared with the cost of: A. 1,500 units of Product D at a standard direct materials co...
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A firm has a net income before interest and taxes of $10,000, interest expenses of $2,000, and net fixed assets of $50,000. If depreciation is $5,000, what is the firm's fixed charge coverage ratio? a. 2 b. 1.5 c. 2.5 d. 3.0 e. 1.3
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The Federal Reserve bought government bonds from a bank in the United States in the 1920s because a) it was the only way to influence the money supply. b) it was the only way to influence the money stock. c) it was the only way to make its observations public. d) banks were reluctant to lend to people directly.
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The maximum amount that may be expensed under Section 179 for 2015 is: A. $500,000 B. $100,000 C. $25,000 D. $5,000
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Sharman Athletic Gear lnc. (SAG) is considering a special order for 16,800 baseball caps with the logo of East Texas University (ETU) to be purchased by the ETU alumni association. The ETU alumni association is planning to use the caps as gifts and to sell some of the caps at alumni events in celebration of the univers...
$40,320
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Suppose that you buy a 30-year, $1,000 bond at a 2% annual rate. The face value is payable at the end of the maturity period. You earn a yield to maturity of 1.5% per annum. What is the duration of this bond? a. 25.8 years b. 30.0 years c. 5.6 years d. 24.3 years
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What is the sample standard deviation of the gestation time for 500 newborns, given that the length of human pregnancies is approximately normally distributed with a mean {eq}\mu = 256{/eq} days and a standard deviation {eq}\sigma = 16{/eq} days, and 500 human pregnancies are randomly selected?
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A manufacturing company's December 31 balance sheets show the following: Inventory $425,000 Current assets 365,000 Total assets 1,200,000 Total stockholders' equity 475,000 Retained earnings 305,000 Total current liabilit...
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Discounted Payback Project K costs $60,000, its expected cash inflows are $14,000 per year for 8 years, and its WACC is 10%. What is the project's discounted payback? Round your answer to two decimal places. years
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Frick Company's manufacturing operations for 2016 included the following selected data: Cost of goods manufactured$1,284,000 Depreciation expense$109,000 Inventory data: January 1, 2016, raw materials inventory$45,000$36,000 December 31, 2016, raw materials inventory$35,000$50,000 January 1, 2016, work in process inv...
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Capital Co. has a capital structure, based on current market values, that consists of 40 percent debt, 16 percent preferred stock, and 44 percent common stock. If the returns required by investors are 12 percent, 13 percent, and 16 percent for the debt, preferred stock, and common stock, respectively, what is Capital's...
12%
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When a plant asset is sold for more than its book value, the difference between the sales price and the book value should be reported on the income statement as: a. An extraordinary item. b. Other income. c. A prior period adjustment. d. A gain. e. None of the above.
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Statement 1: A rise in investment demand (I), accompanied by an equal fall in government expenditure (G), does not change the equilibrium output. Statement 2:: A rise in investment demand (I), accompanied by an equal fall in government expenditure (G), does not shift or twist the Aggregate Demand Curve. Pick the corr...
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Assume that U.S. and British investors require a real return of 2%. If the nominal U.S. interest rate is 15%, and the nominal British rate is 13%, then according to the IFE, the British inflation rate is expected to be about _ _ _ _ the U.S. inflation rate, and the British pound is expected to _ _ _ _. a) 2 percentage...
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Collison and Ryder Company (C&R) has been experiencing losses for some time. The company's income statement for the most recent month is shown below: Net Sales (all on account) $415,300 Less: Variable Costs Cost of Goods Sold $252,000 Variable selling expenses $14,100 Contribution Margin$ 149,200 Less: Fixed Costs ...
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Determine whether the following statement is an appropriate statement that could be included in the report summarizing these results: With 95% confidence, we estimate the population of all college students who attend an in-state university is between 0.66 and 0.72. a. Appropriate b. Not Appropriate
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A firm's net cash flow from operating activities is not affected by: a. cash paid for interest. b. cash paid to suppliers. c. cash received for income tax refunds. d. cash received from customers. e. None of the above
a
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Patagonia Corporation had 108,000 shares of stock outstanding on January 1, 2014. On May 1, 2014, Patagonia issued 62,160 shares. On July 1 Patagonia purchased 13,440 treasury shares, which were reissued on October 1. Compute Patagonia's weighted-average number of shares outstanding for 2014. (Assume a 365-day year. En...
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Find the equation of the plane through the point (1, 2, -3) and perpendicular to the line of intersection of the planes x - y + 3z = 4 and 2x + y - z = 3. (Use the variable z for the unknown quantity.)
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What will be the sign of the cross-price elasticity of supply if the supply function exhibits the Giffen-paradox? a. It will be negative. b. It will be positive. c. It will be zero. d. Its sign is unknown.
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James purchased land from Red, Inc. by issuing stock in his own corporation (James Co.), which held the stock. The stock basis for the land was $70,000. On the date of transfer, the fair market value of the land was $95,000 and the fair market value of the stock was $75,000. The corporation distributed the land to Jame...
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Capital Corp. issued 15-year bonds 2 years ago at a coupon rate of 8.4 percent. The bonds make semiannual payments. If these bonds currently sell for 108 percent of par value, what is the YTM? a. 3.87% b. 7.75% c. 8.05% d. 7.26% e. 7.51%
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Evaluate {eq}\displaystyle \int_C \vec F . d \vec r{/eq}, where {eq}\displaystyle \vec F(x, y) = (6xy + 2)\ \mathbf i + (3x^2 - 6y)\ \mathbf j{/eq} and {eq}\ C{/eq} is the right half of the ellipse {eq}\ \dfrac {x^2}{4} + y^2 = 1{/eq}.
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The Fan Cost Index (FCI) attempts to measure the total cost of attending a professional sports game by adding together the average price of the different types of tickets, the average price of beers and soft drinks, parking fees, and the average cost of a meal. A study published by the FCI measured the total cost of at...
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A company actually produced and sold 100,000 units of one product. Its selling price was $100 per unit. Its fixed production costs totaled $1,250,000 and its fixed marketing costs were $700,000. Its variable production costs were $50 per unit and its variable marketing costs were $10 per unit. Under absorption costing,...
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What is the risk of an incorrectly rejecting a true null hypothesis? a. the beta risk b. the Type II Error c. the power d. the Type I Error
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To estimate a population mean to within 3 units, with only a 1% chance that it is wrong, what is the sample size required, given a population standard deviation of 7.7? Assume the sample mean is normally distributed.
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In the country of Deluca, the rate of unemployment has fallen from 8.6% to 8.3% with no change in the number of unemployed workers. We can conclude that: a. More workers have entered the labor force. b. The unemployment rate is still too high. c. The number of employed workers has increased. d. The labor force part...
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If a large number of samples of size n are taken from Po(2.5) and approximately 5% of the sample means are less than 2.025, estimate n.
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Assume the government spends an additional $100 million to buy new guns. The fiscal multiplier in this economy is 2.0. If this is the only fiscal action, then GDP will change by what amount? a) Decrease by $200 million b) Increase by $100 million c) Increase by $200 million d) Decrease by $500 million
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Kelly invests $1,000 in a bank that offers an 8% nominal interest rate. How much money will she have at the end of one year if the bank compounds interest semiannually?
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Evaluate the following integral. {eq}\int \frac {3x^4 + 2x^2 + 1}{x^2} dx{/eq}
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For your senior project, you would like to build a cyclotron that will accelerate protons to 10% of the speed of light. The largest vacuum chamber you can find is 50 cm in diameter. What magnetic field strength will you need?
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The following information is available for Fido Company at December 31, 2018. Total current assets: $ 600,000 Total investments: 40,000 Total property, plant, and equipment: 900,000 Total current liabilities: 100,000 Total long-term debt: 300,000 Total stockholders' equity: Common stock: 150,000 Retained earnin...
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Use calculus to find the area (A) of the triangle with the given vertices: (0, 0), (5, 4), (1, 6)
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In respect of interest cost, the equity method is used by an investor for accounting purposes when the investor: a. cannot exercise significant influence over the investee. b. cannot exercise significant influence over the investee and the investment is accounted for as a long-term investment. c. can exercise signif...
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Which of the following statements is true about the effect on net operating income of a company's decision to produce more units than the number of units sold? A. Net operating income will increase under absorption costing, but not under variable costing. B. Net operating income will decrease under absorption costing...
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I need to calculate the number of rolls of a 6-sided dice I need to roll before I can expect to get all of the sides at least once.
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Use the Fundamental Theorem of Calculus to find the derivative of: {eq}h(x) = \int_{2x}^{x^4} \tan r \, dr{/eq}
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Suppose that the price (in dollars) of a product is given by the following demand function: $p = 1800 - 3x^2$ Find the revenue (in dollars) as a function of the number of products produced (in thousands), and then find the number of products at which the revenue is maximum.
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My solution: the derivative doesn't come out as nicely as I had thought, can someone verify that I'm solving this properly? Using the definition: lim $H(x)_{x\to a} = (f(x)- f(a))/(x-a)$ Which implies $\lim_{x\to 0} = (xH(x) - 0\cdot H(0))/(x-0)$ Therefore, $\lim_{x\to0} = xH(x)/x$ The $x$ terms cancel out from the num...
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In an earlier year, the Willard Company produced 6,000 units of a small part and incurred the following costs: Direct materials $19,200 Direct labor $28,800 Variable overhead $21,600 Fixed overhead $17,600 Total $77,200 An outside supplier has offered to sell the company the small part for $15.75 per unit. The compan...
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Demand for good X is: Qxd = 450 - 6Px + 4Py - 3Pz + 1M + 2Ax where Px = price of good X Py = price of good Y Pz = price of good Z M = income of consumer A = advertising expenditures Given the prices, income and advertising spending, the quantity demanded of good X is: A. perfectly elastic B. perfectly inelastic ...
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Sue's Surfboards is the sole renter of surfboards on Big Wave Island. If marginal revenue is positive at the actual number of surfboard rentals made each hour, then: A. at that quantity the demand for surfboard rentals is unit elastic B. at that quantity the demand for surfboard rentals is elastic C. at that quantit...
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The owner of an apple farm estimates that if x thousand dollars are spent on advertising, the sales will amount to (-x^2/2 + 5x + 80) million apples. Assuming that all the apples produced are sold, find the level of advertising that will maximize the profit, given that the production costs are $400,000 plus $6 per appl...
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Where does the volume of the solid of revolution decrease most rapidly as the sampling time, T, increases?
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Find the accumulated value of an investment for which there is a perpetual continuous money flow of $3600 per year at an interest rate of 7%, compounded continuously.
$51428.57
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Is the stock of Hasbro overvalued or undervalued based on the given market data, with the stock price at $40.15, earnings per share (EPS) at $2.77, and a required return (r) of 11%, assuming a long-term growth rate of 5%?
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You own a stock portfolio invested 25 percent in Stock Q, 30 percent in Stock R, 35 percent in Stock S, and 10 percent in Stock T. The betas for these four stocks are .77, .88, 1.05, and 1.29, respectively. What is the portfolio beta?
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Find the equation of the tangent line to the cycloid r = 2 + sin(θ) at θ = π.
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How do I solve the recurrence $T(n) = 2^nT\left(\frac{n}{2}\right) + n^{3/2}$ assuming $T(1) = 1$?
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The potential for real interest rates to become negative A. will increase as trade barriers are eliminated. B. will increase as firms become more innovative. C. will decrease as government debt reaches a level close to or higher than the level of private debt. D. depends on how open an economy is to foreign trade. ...
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Use the Divergence Theorem to compute {eq}\iint_{S} \mathbf{F} \cdot d \mathbf{S} {/eq} where {eq}\mathbf{F}(x, y, z)=z^{2} \hat{\mathbf{i}}+y \hat{\mathbf{j}}+\left(x^{2}-2 x y\right) \hat{\mathbf{k}} {/eq} and S is the sphere of radius centered at {eq}(2,4,1)
\frac{4}{3} \pi R^3
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XYZ Corporation is a manufacturer of widgets. Over the past several months, it has been selling its widgets for $100 each and unit sales have averaged 5,000 units per month. This month its competitor, ABC, Inc. raised the price of its widgets from $100 to $110. XYZ noted that its unit sales increased by 200 units. What...
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I'm not sure how to prove this result. Prove that if $n \in \mathbb{Z}$, and $n \not\equiv 0 \pmod{2}$, then $$1 + 2 + ... + n \equiv \frac{n(n+1)}{2} \pmod{2}$$
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Assume that a share of the stock is currently selling for $40. You have to pay $39.50 to buy a share of this stock one year from now. If you buy a one-year call option on the stock with an exercise price of $42, and the risk-free rate is 10%, what is the option price?
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For 2015, New Corporation had a net income of $150,000. New Corporation had 50,000 shares of common stock outstanding at the beginning of the year and 100,000 shares of common stock outstanding at the end of the year. There were 40,000 shares of preferred stock outstanding all year. In 2015, New Corporation declared an...
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A life insurance company wishes to determine the present value of a single premium annuity contract that will provide the following retirement income of $1,000 at the end of each year for 20 years. The appropriate rate of interest is 6%. How much should the insurance company charge for this contract? a. $11,685 b. $1...
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Which of the following is a positive externality? a) New car prices go down when steel tariffs are removed. b) Production costs are reduced when waste disposal laws are not enforced. c) Assistance is given to disaster victims. d) A star basketball player increases revenue at sports bars.
d
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Which of the following could not be considered an internal control procedure: a. Projects should have a limited life b. Physical control over assets c. Segregation of duties d. Preparing a trial balance
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