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Find the distance from the point (2,2,-4) to the line r(t) = <-1 + 4t, -1 + 4t, 5 - 3t>.
27\sqrt{\frac{2}{41}}
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The Consumer Protection Agency has asked the Fidelity Mutual Bank to increase the proportion of funds in their 4672 Trust funds that are invested in stocks. The current proportion is 0.75 (that is, 75%) from a sample of 400 funds, only 275 were invested in stocks. What sample size would be needed so that the Bank could...
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Wolsey Company acquired a filtering machine on January 1, 2013, for $75,000. Estimated useful life of the machine was five years, with no residual value. The company used the straight-line method of depreciation. The machine was sold for $25,000 on October 1, 2014. Which of the following statements is correct with reg...
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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. Margin of error: $160; confidence level: 95%; standard deviation: $320
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The standard variable overhead rate is $1.20 per machine hour. Each unit of product requires two machine hours. The actual variable overhead is $73,500, and actual total machine hours for the period is 42,000 hours. Assuming the company's actual production for the period was 23,000 units, the variable overhead efficien...
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You perform a two-sided significance test for the mean difference between two means and get a p-value of 0.0825. Which of the following can you conclude? a. A 95% confidence interval for will definitely contain 0. b. A 95% confidence interval for may contain 0. c. At the 10% significance level, the mean difference i...
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Compute the payback period statistic for Project X and recommend whether the firm should accept or reject the project with the cash flows shown in the chart if the maximum allowable payback is 4 years. Year Cash Flow 0 -$1,450 1 $250 2 $380 3 $620 4 $1,000 5 $100 Payback period = _____
3.2 years
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The maximum amount of debt a firm can raise without violating its current policy for maintaining a minimum level of cash reserves is called the: a. risk-based debt limit. b. optimal debt limit. c. internal debt limit. d. financial stress level. e. cash coverage ratio.
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Mangia Pizza's 14% coupon rate, semiannual payment, $1,000 par value bonds mature in 19 years. The market interest rate for such bonds is 12%. What is the current price of one of Mangia's bonds?
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The inventory cost method that generally results in the highest gross profit figure is the _____ method. a. LIFO b. average cost c. FIFO d. retail
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Determine the year when the rate of production of oil at this well will be maximal, given that the total production of oil from the well is estimated by T(t) = -1000(t + 10)e^{-0.1t} + 10,000 thousand barrels t years after production has began.
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The following are Silver Corporation's unit costs of making and selling an item at a volume of 9,400 units per month (which represents the company's capacity): Manufacturing: Direct materials$ 2.10 Direct labor$ 3.10 Variable overhead$ 1.60 Fixed overhead$ 0.40 Selling and administrative: Variable$ 3.10 Fixed$ 0.80...
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In which of the following cases does the Robinson-Patman act not apply? a. There are no cost differences to serving different groups. b. Discounts are never offered to meet competition. c.The industry does not engage in promotional allowances. d. All of the above.
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The cash flow statement (in millions) for U.S. Corporation for the years 2012 and 2013 is shown: U.S. Corporation Cash Flow Statement (partial) For the Years Ended December 31, 2012 and 2013 2012 2013 Net Income $ 875 $1,640 Depreciation expense 250 ...
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The College Board reports that in a recent year, the mean mathematics SAT score was 520, and the standard deviation was 113. A sample of 65 math scores is chosen. What is the probability that the sample mean score is less than 480?
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You're prepared to make monthly payments of $270, beginning at the end of this month, into an account that pays 8 percent interest compounded monthly. How many payments will you have made when your account balance reaches $20,000?
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How do you integrate x ln x dx by parts?
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The average number of fish in its catch is 2500 with a standard deviation of 600. If one assumes that the distribution of the number of fish in its catch is normally distributed, what is the probability that the number of fish in its catch is less than 1000?
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Fuzzy Button Clothing Company currently pays preferred stockholders a dividend of $1.50 per share and common stockholders a dividend of $1.00 per share. The firm wants to raise the common stock dividend to $2.00 per share, it will also have to raise the preferred stock dividend to $2.00 per share. Which security tends ...
B
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Which of the following statements are correct for a firm with a net income of $50,000, depreciation expense of $4,000, beginning and ending equity balances of $500,000 and $550,000, and total assets of $800,000 and $900,000 in the beginning and end of the year, respectively? A) Free cash flow is $4,000. B) The firm's...
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The Cournot duopoly model assumes that: A. each firm decides what price to charge and that their rivals will not respond. B. each firm decides what price to charge and that their rivals will respond. C. each firm decides how much to produce and that their rivals will not respond. D. each firm decides how much to pr...
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Assume that the weight of items in a population has a normal distribution with a population variance equal to 25. The manager of a manufacturing plant has to decide on the acceptable weight for the items. She plans to sample 10 items and will reject the null hypothesis if the sample variance is more than 30. In other w...
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Use the figure below to answer the following question(s). What is the expected return on this portfolio? Stock Weight Beta Return A 0.27 0.96 0.12 B 0.39 1.22 0.16 C 0.18 1.41 0.20 D 0.16 1.75 ...
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Suppose a value-added activity has a high scrap rate. The most likely outcome of which of the following is true? a) The activity uses too much time. b) The activity has a high inventory holding cost. c) The activity uses too much labor. d) The activity uses too many materials. e) The activity has a high number of ...
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Your professor tells the class to close and put up their books and take out a pen or pencil to take the test. If you follow your professor's instructions, you a. are exhibiting compliance. b. have succumbed to persuasion. c. are exhibiting obedience. d. are exhibiting passive attribution.
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The owners' equity of a corporation amounted to {eq}\$1,260,000 {/eq} on the first day of the year and {eq}\$1,330,000 {/eq} on the last day of the year. Included in the equity accounts were common stock of {eq}\$80,000 {/eq} and retained earnings of {eq}\$800,000 {/eq} at the end of the year. No dividends were dec...
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You read in The Wall Street Journal that 30-day T-bills are currently yielding 4.1%. Your brother-in-law, a broker at Safe and Sound Securities, has given you the following estimates of current interest rate premiums: Inflation premium = 2% Liquidity premium = 0.6% Maturity risk premium = 1.6% Default risk premium ...
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Watson's lemma: How to calculate the residue at $z=0$ for $e^{-iz^2}e^{iz} = e^{-iz(z-1)}$
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Paternity, Inc., wishes to maintain a growth rate of 6 percent a year. The company has a debt-to-equity ratio of 1.30, and it currently pays a rate of 6.2 percent on its debt. Paternity pays out 60 percent of its earnings as dividends. The company has total assets of $205 million and total equity of $90 million. What i...
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How does the socially optimal quantity of output compare to the market quantity of output under the following market condition? Marginal private benefit > marginal social cost > marginal private cost. A. The socially optimal quantity is higher than the market quantity. B. The socially optimal quantity is lower than ...
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Gruden Company produces golf discs which it normally sells to retailers for $6.83 each. The cost of manufacturing 23,400 golf discs is: Materials: $12,168 Labor: 34,164 Variable overhead: 24,336 Fixed overhead: 45,630 Total: $116,298 Gruden also incurs 6% sales commission ($0.41) on each disc sold. McGee Corporati...
$6,860
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Forsyth Corporation has the following information for the year 2015: Net income $ 267,500 Depreciation expense 37,000 Loss on sale of equipment 53,000 Patent amortization expense 8,500 Using the indirect method, how would the sale of equipment and amortization expense be presented on the 2015 statement of cash flo...
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XYZ common stock is expected to pay a dividend of $4.75 next year, and that dividend grows at a constant rate of 3.00%. If the current price of XYZ common stock is $20.80, then what is the expected rate of return for this stock, based on the Discounted Cash Flow model?
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In an annual report, a company had a net profit before taxes of $1,200,000. What would be the company's average tax rate if it had 200,000 shares of common stock outstanding all year and the after-tax profit per share is $1.80?
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If an owner invests noncash assets in a corporation in exchange for stock, A. the assets are credited at market value, Common Stock for par value and any excess is credited to Paid-In Capital in Excess of Par Value. B. only Paid-In Capital in Excess of Par Value is credited. C. only Common Stock is credited. D. non...
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Set up the integral (Do not evaluate) to calculate the volume of the region that has a circle of radius 6 as its base in the x-y plane, and cross-sections perpendicular to the x-axis are triangles with height equal to 4 times that of the base.
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How do you use the first part of the Fundamental Theorem of Calculus to find the derivative of y = int 3(sin(t))^4 dt from e^x to 1?
-3e^x(sin(e^x))^4
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The income statement for 2011 and the balance sheets for 2010 and 2011 for Nabors Inc. are as follows: 2011 Income Statement (in millions) Net sales$10,890 Less: Cost of goods sold6,680 Less: Depreciation1,430 Earnings before interest and taxes2,780 Less: Interest paid630 Taxable Income2,150 Less: Taxes466 Net...
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Find the z-score such that the area under the standard normal curve to the left is 0.37.
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Choose the most likely explanation for the following scenario: A company follows a restrictive short-term financial policy. As a result, the average cash balance has declined, along with its average investment in marketable securities. At the same time, sales have not changed, and the company is earning the maximum re...
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Maxwell Company has an ending inventory of $15,000 and a cost of goods sold for the current year of $80,000. What is the amount of inventory shrinkage that Maxwell will report on its income statement if an inventory audit reveals that actual ending inventory is $14,500? a. $500 b. $14,500 c. $15,000 d. $19,500
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A monopolist firm produces a product with a marginal cost function {eq}MC(x) = 0.2x+10{/eq} and has average fixed costs of {eq}\$1{/eq} per item. If the monopolist charges a price of {eq}\$10{/eq} per item, what is its average total cost?
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Consider a town in which only two residents, Mike and Leah, own wells that produce water safe for drinking. Mike and Leah can pump and sell as much water as they want at no cost. For them, revenue equals profit. The table below shows the town's demand schedule for water. If the market for water were perfectly competit...
D
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Consider the complex function $f(z) = |1+z|^2$. Which of the following statements are true? A) $f$ is analytic. B) $f$ satisfies the Cauchy-Riemann equations at all points where $f$ is defined. C) The real part of $f$ is constant. D) The imaginary part of $f$ is constant. E) The partial derivative $\frac{\partial u}{\p...
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The fraction of income that is consumed is referred to as: a) Average propensity to consume. b) Marginal propensity to consume. c) Marginal propensity to save. d) Average propensity to save.
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Carver Inc. reported the following information for 2011: Amount ($) Number Cost of Goods Sold 120,000 50 Net Income 40,000 60 Rent revenue 20,000 30 Interest expense 14,000 40 Interest revenue 7,000 50 During 2011, the company declared and paid preferred dividends of $7,000. Calculate the times interest is earned ...
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The earnings credit received by a depositing firm is positively influenced by which of the following? a. Lower reserve requirement ratio b. Higher reserve requirement ratio c. Higher deposit float d. Lower earnings credit rate
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In order for "limit pricing" to be effective, the firm practicing such a strategy must be able to charge a price that is: A) lower than the potential entrant's ATC but greater than the firm's own AVC. B) lower than the potential entrant's ATC but greater than the firm's own ATC. C) greater than the potential entrant...
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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
b
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Calculate the volume V of the solid E that lies below the xy-plane and above the triangular region with vertices (0,0,0), (2,0,0), and (0,1,0), where the top of the solid is given by the surface x - y + z = 2.
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The multiplier effect states that changes in government spending will have what type of effect on real GDP? a. A larger effect than the original change in spending. b. A smaller effect than the original change in spending. c. The same effect as the original change in spending. d. There is no relationship between th...
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The amount of money supplied in the economy is governed primarily by the: a. Quantity of Money Rule. b. Classical theory of interest. c. Money Demand Rule. d. Neoclassical theory of interest. e. Quantity Theory of Money.
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A country that has both an absolute and a comparative advantage in the production of a given good will: a. export that good and import goods in which it has neither an absolute nor a comparative advantage. b. always experience a balance of trade deficit. c. neither import nor export that good. d. have the highest o...
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The following data have been taken from the cost records of Larden Corporation concerning the production of 10,000 units of a product. Cost per unit Direct materials$16 Fixed manufacturing overhead$20 Variable manufacturing overhead$24 Fixed selling and administrative expense$28 Variable selling and administrative ...
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Club Co. appropriately uses the equity method to account for its investment in Chip Corp. As of the end of 2011, Chip's common stock had suffered a significant decline in fair value, which is expected to be recovered over the next several months. How should Club account for the decline in value? A. Club should switch ...
B
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You just won the lottery. Congratulations! The jackpot is $85,000,000, paid in six equal, annual payments. The first payment on the lottery jackpot will be made today. In PV terms, how much did you really win? Use an annual interest rate of 11.00%. In PV terms, you won: a) $112,098,843.87 b) $66,525,207.77 c) $124,4...
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Find the volume of the parallelepiped with vertices (0, 0, 0), (5, 3, 3), (0, 3, 2), (-1, 5, 2), (6, 1, 6), (1, 4, 3), (5, 6, 5), and (2, 2, 4). The volume of the parallelepiped is _____.
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Metroplex Company has a machine with a book value of $78,500 and a remaining five-year useful life. A new machine is available at a cost of $144,000, and Metroplex can also receive $65,000 for trading in its old machine. The new machine will reduce variable manufacturing costs by $20,000 per year over its five-year use...
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If A is a nilpotent square matrix, which of the following is false: (a) A must be invertible. (b) det(A) = 0. (c) Trace(A) = 0. (d) For all m in N, $A^m$ is a nilpotent matrix.
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The instantaneous rate of change of the function f(x) = (lnx)^x at x = 1 is? Enter "DNE" if the rate of change does not exist.
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Velway Corp. acquired Joker Inc. on January 1, 2010. The parent paid more than the fair value of the subsidiary's net assets. On that date, Velway had equipment with a book value of $500,000 and a fair value of $640,000. Joker had equipment with a book value of $400,000 and a fair value of $470,000. Immediately after t...
D
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Use linear approximation or differentials to estimate the given number: (1.96)^4
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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. $13,000 gain. B. $20,000 gain. C. $23,000 loss. D. $30,000 loss. Gain or Loss on Redemption = Face Value of Bonds...
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Compute the total manufacturing costs using the following information: Direct materials used $1,400,000 Raw materials inventory, Jan 1 50,000 Raw materials inventory, Dec 31 40,000 Work in process, Jan 1 30,000 Work in process, Dec 31 20,000 Finished goods, Jan 1 60,000 Finished goods, Dec 31 50,000 Raw materials purch...
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You have two levels of debt outstanding. The first has an 8 percent interest rate, matures in 10 years, and has a total face value of $1 million. The second has a 12 percent interest rate, 20 years to maturity, and a total face value of $2 million. The market value of your equity is $3 million. The company's cost of eq...
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Use Taylor's formula to show that for small angles $$\sin(\theta) \approx \theta$$ and $$\cos(\theta) \approx 1 - \frac{\theta^2}{2}$$.
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Every differentiable function $f:R \rightarrow R$ with the property that $(2h)f′(x) =f(x+h)−f(x−h)$ for all $x \in R$ and all $h$ has the form $f(x) =ax^2+bx+c$. Is taking partial derivatives an idea, and is that legal?
$f(x) = ax^2+bx+c$
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I have a table with $x$ as one of the columns. I am interested in calculating the sum of the products of $x_i$ and $x_i^2$, where $x_i^2$ is the square of $x_i$, and $x_i$ is the $i$-th entry in the table. How do I calculate $\sum_i x_i x_i^2$?
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Let {eq}f (x, y) = 8xy^3 -x^2y{/eq}. Then the average value of f over the triangle with vertices {eq}(1, 0), \; (0, 1){/eq} and {eq}(-1, 0){/eq} is _____.
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Using the Superposition Theorem, determine the current through $R_L$ in the given circuit, which consists of two voltage sources ($V_{S1} = 20 V$ and $V_{S2} = 28 V$) and three resistors ($R_1 = 4 Ω$, $R_2 = 6 Ω$, $R_3 = 2 Ω$), and a load resistor $R_L = 1 Ω$.
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Rat Race Inc. has a beta of 1.6. If the market return is expected to be 12.5% and the risk-free rate is 4%, what is Rat Race's risk-adjusted net present value for a project that has a cost of $240,000 and cash flows of $65,000 in year 1, $65,000 in year 2, and $145,000 in year 3?
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Why does a low opportunity cost of producing a good mean that a country has a comparative advantage in producing that good? a. because the opportunity cost is measured in workers' time, and less is a comparative advantage. b. because low opportunity costs mean high prices, which create a comparative advantage. c. be...
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Geopolitical uncertainty drives oil prices higher that result in an aggregate supply shock. In response, the Federal Reserve increases its target interest rate. In the short run, relative to the short run equilibrium situation if the Federal Reserve undertakes no action, output (RGDP) _____ and the price level _____. ...
C
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Suppose that in the perfectly competitive market for the normal good gasoline, there is a simultaneous decrease in the income of consumers who purchase gasoline and an increase in the oil price (an input used in producing gasoline). With these changes, we expect? A. an increase in the price of gasoline and an increase...
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The following information was taken from the ledger of Hamada Corporation for the fiscal years ended December 31, 2011 and 2010: 2011 2010 Trademarks $205,200 $180,000 Patents 386,800 412,000 Research and development costs 148,200 156,000 What is the total intangible assets reported on the balance sheet at December ...
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If a firm is producing a given level of output in the least costly manner, what must be true about the last unit of input employed: A. The MRP of the last unit of input equals its MPK B. The last unit of input is producing output at the minimum cost C. The MRP of the last unit of input equals the MPK multiplied by t...
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A 120 V rms signal at 60 Hz is applied across the terminals of an inductor. If the rms value of the current in the inductor is 2 A, what is the reactive power? a) 1440 var, lagging b) 1440 var, leading c) 240 var, lagging d) 240 var, leading
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A person is interested in constructing a portfolio. Two stocks are being considered. Let X = daily return for stock A and Y = daily return for stock B. The person does not know anything about these two correlations. Answer the following question based on this information. Which of the following portfolios will definit...
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Use the ideal gas law to symbolically prove the cyclic rule of partial derivatives.
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Benson Company owns no plant assets, and its variable costs equal 70% of sales. The company is evaluating a proposal to buy a machine for $300,000. Benson estimates that the machine will increase annual fixed costs by $30,000. Assuming no change in the selling price, the machine should be purchased if the machine is ex...
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Kim has a $1,000, 20 year bond with an annual coupon rate of 6.00%, with semi-annual interest payments. The bond has a $1,000 par value and is selling for $822.56. What is the bond's yield to maturity (YTM) that she will earn if she holds the bond until it matures?
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Write the prime-power decomposition of 2310 and 3960.
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An implementation lag for fiscal policy is: a. the time between an economic statistic reaching a peak or trough and the fiscal authorities recognizing that a problem exists. b. the time between the recognition that a problem exists and the fiscal authorities deciding to use fiscal policy to combat the problem. c. th...
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Which of the following properly describes the wealth effect that helps explain the slope of the aggregate demand curve? A. As the money supply increases, the interest rate rises, so spending falls. B. As the price level increases, the interest rate falls, so spending rises. C. As the price level increases, the inter...
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Assume that a lightning bolt can be represented by a long straight line of current. If the magnetic field strength is {eq}\rm 8.00 \times 10^{-5} \ T {/eq} at a distance of 25.0 m away from the bolt, and the bolt lasted for a total of 1.5 ms, what is the magnitude of the total electrical charge that was transferred by...
15 C
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Assume a closed economy described by the following equations: C = 300 + 0.6(Y-T) ; I = 500 - 40R; G = 200; T = 200; M = 2800; (M/P)d = 4Y - 100R; SRAS: P = 1; LRAS: Y=1000 What is the equilibrium output?
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Which of the following financial statement effects are caused by the provision of services? A. Understated assets B. Understated stockholders' equity C. Overstated expenses D. Overstated revenues
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Based on the information below, please indicate which of the following represents the correct calculation of cash flow from assets. Income Statement, 2012 Sales: $3,275 Costs: 1,580 Depreciation: 475 Earnings before interest and taxes (EBIT): 1,220 Interest paid: 315 Taxes: 302 Net income: 603 Dividends: 226 ...
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On June 1, 2014, Adelphi Corporation issued $470,000 of 6%, 5-year bonds. The bonds were issued at 103, pay interest on January 1 and June 1. Use this information to calculate the amount of bond discount or premium that is amortized with each interest payment. If this is discount amortization, enter as a positive numb...
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The sequence $a_n$ is defined by the recurrence $a_{n+1} = 2a_n + n^2$ and $a_1 = 12$. Show that the sequence $a_n$ satisfies $$ \lim_{n\to\infty} \frac {a_{n+1}} {a_n} = 2 $$ and explain why the fact that $\frac {a_{n+1}} {a_n} > 2$ for all $n$ is important in proving this limit.
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Evaluate the integral {eq}\int \frac{3x^4 + 2x^2 + 1}{x^2} \, dx
x^3+2x-1/x+C
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The following information is provided for Anna Company and Maybelline Corp: Net income, 2017 $270 $660 Net Sales, 2017 2,670 4,650 Total assets, 12/31/15 1,800 2,900 Total assets, 12/31/16 1,950 3,350 Total assets, 12/31/17 2,100 4,000 Compute Anna Company's asset turnover ratio for 2017.
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A customer's account is adjusted on the books of the company when the: a. merchandise is received from the supplier. b. invoice is received from the supplier. c. invoice is paid. d. None of the above.
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According to the marginal decision rule, if marginal benefit a) exceeds marginal cost, an activity should be reduced b)is equal to marginal cost, an activity should be reduced c)is less than marginal cost, an activity should be reduced d)exceeds marginal cost, the net benefit is maximized
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Consider an investor with a portfolio valued at $100,000. The portfolio has an expected return of 10% and a beta of 0.5. The investor has a choice to buy a risk-free asset (with return 3%) or a stock which has a beta of 1.25. The investor wants to increase the expected return from 10% to 11%. Which of the following is ...
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Show that $$\int_{t_1}^{t_2} e^{\frac{-1}{2} y^2} dy = \frac{\sqrt{\pi}}{2} \text{erf}\left(\frac{y(t_2)-y(t_1)}{2}\right)$$ where $y(t)$ is a Gaussian stochastic process, $t_1$ and $t_2$ are two different times and $\text{erf}$ is the error function.
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When determining how much of the firm s total assets to invest in cash and securities, a low-liquidity strategy entails investing _____ of the assets in cash and securities, earning _____ expected total profits. a. relatively less, relatively less b. relatively more, relatively less c. relatively less, relatively more...
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In a supply chain management system, the _____ method produces the most accurate forecasts. a. moving average b. exponential smoothing c. weighted moving average d. rolling forecast
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Solve the integral: {eq}\int (36-x^4)^{\frac {2}{3}} \; dx {/eq}
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A stock has an expected return of 12.4% and a beta of 1.25, and the expected return on the market is 11.4%. What must the risk-free rate be?
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