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Given a normally distributed set of data with a mean of $50 and a standard deviation of $10, what is the probability that a simple random sample of size n=40 yields a sample mean between $45 and $55?
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An investor buys $16,000 worth of a stock priced at $20 per share using a 60% initial margin. The broker charges 8% on the margin loan and requires a 35% maintenance margin. The stock pays a $0.50-per-share dividend in 1 year, and then the stock is sold at $23 per share. What was the investor's rate of return?
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Assume the spot rate of the British pound is $1.63. The expected spot rate one year from now is assumed to be $1.55. What percentage deprecation does this reflect? a. -3.72% b. 5.05% c. -4.72% d. -5.05%
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How should the existing shareholders of LoopNet Inc. feel about this decision? a. Unaffected b. Angry c. Happy d. Uncertain
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If a company issues a new issue of debt, this will: A. increase the weights of both debt and equity. B. decrease the weights of both debt and equity. C. have no effect on the weights of debt and equity. D. increase the weight of equity and decrease the weight of debt.
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A firm has a balance in the accounts receivable account of $191,000 at the end of the year. An aging of the accounts receivable indicates that $15,000 are likely to be uncollectible. The provision for doubtful accounts has a credit balance of $3,300. What is the adjusted balance in the provision for doubtful accounts a...
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If the interest on an account were $140, the FICA tax withheld was $100, and the total taxes withheld was $300, what was the amount of state and federal taxes withheld?
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Use Green's theorem to find the work by the force {eq}\displaystyle \mathbf F = \sqrt {5 + x^2} \mathbf i + 8 x y \mathbf j {/eq} along the closed curve {eq}C {/eq} consisting of line segments from {eq}(0,\ 0) {/eq}, to {eq}(1,\ 0) {/eq}, to {eq}(1,\ 6) {/eq}, and back to {eq}(0,\ 0) {/eq}.
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Calculate $\lim_{x\rightarrow 0} (6x^2 + 3x)$ without using L'Hopital or series.
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Compute the derivative of $z(\gamma)$ along its integral curve $\gamma(t)$ for the differential equation $z'=\frac{yz^{2}}{t}$. I attempted to compute it using the product rule and obtained $z'z'-z''z=\frac{y^{2}z^{3}}{t}-z''z$, which did not lead me to the expected result of $0$. Where is my reasoning flawed?
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Suppose you know that a company's stock currently sells for $100 per share and the required return on the stock is 14%. You also know that the total return on the stock is evenly divided between capital gains yield and dividend yield. If it's the company's policy to always maintain a constant growth rate in its dividen...
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One bond has a coupon rate of 5.4%, another a coupon rate of 8.2%. Both bonds pay interest annually, have 13-year maturities, and sell at a yield to maturity of 7.5%. If their yields to maturity next year are still 7.5%, what is the rate of return on each bond?
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Tharaldson Corporation makes a product with the following standard costs: Particulars Standard Quantity or Hours Standard Price or Rate Standard Cost Per Unit Direct materials 8.4 ounces $3 per ounce $25.20 Direct labor 0.9 hours $19 per hour ...
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You are an assistant to a senator who chairs an ad hoc committee on reforming taxes on telecommunication services. Based on your research, AT&T has spent over $15 million on related paperwork and compliance costs. Moreover, depending on the locale, telecom taxes can amount to as much as 25% of a consumer's phone bill. ...
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Which of the following statements about joint-cost allocation is FALSE? A. Joint cost allocation is useful in deciding whether to further process a product after split-off. B. Joint cost allocation is useful in making a profit determination about individual joint products. C. Joint cost allocation is helpful in inve...
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You want to buy a new car, but you can't afford the $23,000.00 down payment. If you can earn 4.5% annual interest, how much will you have to invest today to cover the down payment in 3 years?
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Calculate the maximum angular momentum of a $$H^-$$ion about its center of mass that could be measured by using a non-relativistic treatment if the energy levels were known to an accuracy of $0.1 \, \mathrm{eV}$. Give your answer in terms of $$\hbar$$ and as a percentage of $$\hbar$$.
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In 2012, Pat had the following revenues and expenses: Net income $45,000 Revenues from selling stock $12,000 Gain on sale of land $5,000 Loss on sale of equipment $7,000 Expenses to operate a business $25,000 Other expenses (not related to the business) $4,000 Dividends received from stock investments $2,000...
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Which of the following methods of analysis is most useful for evaluating mutually exclusive projects? a. the internal rate of return method b. the payback rule c. the profitability index rule d. the discounted payback rule e. the net present value rule
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Lucy has prepared the following list of statements about bonds and their selling prices: 1. A premium on bonds is the excess of the bond issue price over the face amount of the bonds. 2. Premiums on bonds are usually amortized over the life of the bonds so that the stated rate of interest on the bonds will equal the ...
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Regency Heavy Equipment is considering buying radios to broadcast driving directions to hikers and anglers in a 600,000-acre area that is expected to be heavily visited during the summer. A TransCelerate of 700 MHz will be used because of its good range and ability to penetrate trees. The equipment costs $250,000 and w...
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You are considering an investment in Justus Corporation's stock, which is expected to pay a dividend of $2.75 a share at the end of the year (D1 = $2.75) and has a beta of 0.7. The risk-free rate is 4.4%, and the market risk premium is 5.6%. Justus currently has 200,000 shares outstanding, and the company's stock price...
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A typical MRI (magnetic resonance imaging) facility has a 1.5-T magnetic field. If there is not a patient in the scanner, the field is shut down in about 10 seconds. (a) How many teslas per second does this change to the field strength in the MRI scanner? (b) What is the induced emf around a circular loop of metal wire...
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All of the following are examples of short-term financing EXCEPT: A. demand deposit B. bank lines of credit C. notes payable D. operating leases
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Life Blanks purchases a fleet of cars on January 1, Year 1 for $500,000. The cars have an expected life of 5 years and a residual value of $50,000. Life Blanks decides to use double-declining-balance depreciation. What is the total depreciation expense for the fleet of cars for Year 2? a) $190,000 b) $152,000 c) $10...
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This question is about long-term assets. Listed below are the end-of-the-year prices for General Electric common stock (Ticker: GE) and the relevant price indexes. Year Price Stock PE Ratio (Last year's dividends $1.59) Dow Jones S&P 500 2011 $17.42 11.1 10...
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Jumble Square Company has 20,000 bonds outstanding with a par value of $1,000 each. The annual interest payment is 7%, and the bonds mature in 10 years. The bonds are selling for $950. If the company's tax rate is 35%, what is the after-tax cost of debt?
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Which of the following characteristics is true for all capital budgeting techniques? a. Inclusion of inflationary effects b. Consideration of the time value of money c. Cash flow based approach d. Focus on net income e. Use of accounting data
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Minimize {eq}z=10x + 16y{/eq} subject to: {eq}x + y \geq 4{/eq}, {eq}x \leq 5{/eq}, {eq}y \leq 6{/eq}, {eq}x \geq 0{/eq}, {eq}y \geq 0{/eq}
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Bolivia Mining has the following information: 6 months 12 months 18 months Purchase of silver 800,000 ounces1,200,000 ounces1,400,000 ounces Required spot price of silver $40/ounce$38/ounce$35/ounce The spot price of silver is currently $45/ounce. Assume that the cost of carry is zero and the market expects that t...
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Select all of the statements below that apply to the map of the world GDP per person in 2008: A) Japan, Canada, and the United States had much higher GDP per person than most of the countries in Europe. B) Europe, on average, had higher GDP per person than countries in sub-Saharan Africa. C) At this time, a very few...
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Determine whether or not the combination of stressors (and corresponding values of {eq}K_a {/eq} and {eq}K_b {/eq}) could lead to successful propagation of a bacterial cell line using the following information: {eq}K_a {/eq} for stressor A = 28 {eq}K_b {/eq} for stressor A = 45 {eq}K_a {/eq} for stressor B = 58...
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You are considering the purchase of one of two insurance policies designed to provide you with the same level of protection. The first policy is expected to cost $200 per year and have no cash inflows. The second policy is expected to have cash inflows of $75 per year but cost $400 per year in premiums. Which of the f...
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Sheldon Science Corp. has current sales of $5,600. If fixed costs are $2,500, the variable cost ratio is 30%, and the financial leverage ratio is 1.75, what are the earnings before interest and taxes (EBIT)? a. $1,120 b. $1,280 c. $1,560 d. $1,840 e. $2,120
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In capital budgeting, if the internal rate of return is greater than the required rate of return, the investment: A. Is acceptable. B. Is not acceptable. C. Should be rejected. D. Should be revised.
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Cardiv Corporation has provided the following production and average cost data for two levels of monthly production volume. The company produces a single product. Production volume: 11,800 units; 12,800 units Direct materials: $77.90 per unit; $77.90 per unit Direct labor: $55.20 per unit; $55.20 per unit Manufacturi...
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Consider a one-factor economy as in the Fama-French model, where all stocks in the economy face some level of systematic risk from changes in the factor. Stocks A and B both have an expected return of 10%, but stock A has a beta of 1.1 and stock B has a beta of 1.4. What is the risk-free rate?
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Clemmens Company applies overhead based on direct labor costs. Estimated overhead and direct labor costs for the year were $100,000 and $100,000, respectively. During the year, the actual overhead was $90,000 and the actual direct labor cost was $85,000. The entry to close the over- or underapplied overhead at year-end...
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Forsyth Company sells a single product with the following characteristics: Selling price = $50 per unit Variable costs = $36 per unit Fixed manufacturing overhead = $240,000 Fixed selling and administrative expenses = $400,000 The regular sales volume in units is 25,000. An order for 5,000 units has been placed fr...
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The sample space of a random experiment is S={a,b,c,d,e} and P(a)=0.1, P(b)=0.1, P(c)=0.2, P(d)=0.4 and P(e)=0.2. Which one of the following sets of events constitute(s) a partition of S? (A) {c,e} (B) {a,b,d} (C) {c} (D) {c,e} (E) {a,b,e} So far I have tried comparing the probabilities of the different events to...
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M&M Proposition I with tax implies that: A. The value of a firm is inversely related to the amount of leverage used by the firm. B. A firm's cost of capital is the same regardless of the mix of debt and equity used by the firm. C. A firm's cost of equity increases as the debt-equity ratio of the firm decreases. D. ...
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GAT produces paper products. In July, the company produced {eq}1,000,000 {/eq} pounds of paper. This represents a {eq}10\% {/eq} increase in sales and a {eq}20\% {/eq} increase in fixed manufacturing overhead compared with the company's projections in its master budget. The company's master budget included sales of ...
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X Company purchases inventory and sells it for $23,000 cash. X also incurs $8,000 in freight costs and $14,000 in storage costs. Which of the following statements is true? A) This transaction represents a negative cash flow from operating activities. B) This transaction represents a positive cash flow from operating ...
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Select the first correct reason why the given series converges or choose E for diverges {eq}\sum_{k=1}^\infty \dfrac {7 (k + 3)^3} {k^{3/2}} {/eq} A. convergent geometric series. B. convergent p-series. C. comparison with a convergent p-series. D. converges by the limit comparison test. E. diverges.
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Rearden Metal has earnings per share of $2. It has 10 million shares outstanding and is trading at $20 per share. Rearden Metal is thinking of buying Associated Steel, which has earnings per share of $1.25, 4 million shares outstanding, and a price per share of $15. Rearden metal will pay for Associated Steel by issuin...
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Let $p$ be a prime. Consider $G$ to be a finite abelian group of order $p^am$ where $m$ is co-prime to $p$. How to prove that $G$ has a unique subgroup of order $p^a$?
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Assume that interest rate parity holds. US interest rate is 10% and British interest rate is 12%. The forward rate on the pound exhibits a _____ of _____ percent. a) premium; 2 b) premium; 1.98 c) discount; 2 d) discount; 1.98
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The X-treme Vitamin Company is considering purchasing a patent that will provide the firm with a cost saving of $100,000 per year for 10 years. If the required rate of return is 12%, how much can the firm pay for this patent?
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New age is considering replacing an existing piece of equipment. The new equipment costs $6.5 million and it has a 5-year life. The old equipment costs $7.0 million and it has a 5-year life. The old equipment has a current market value of $2.0 million. In other words, New Age will receive $2.0 million if it sells the o...
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Your employer asks you to spend a day at the local, well-equipped M&M plant to calculate a 95% confidence interval for the mean fill weight of bags of pretzels. You sample 50 bags and measure the weight of pretzels in each bag, obtaining the following data: x = 21.4 ounces, s = .6 ounces. What is the margin of error (i...
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During 2012, Sandy's Sneakers reported the following: short-term borrowings of $297 million; long-term borrowings of $109 million; long-term debt repayments of $35 million; interest paid, $121 million; and treasury shares repurchased, $688 million. How much is net cash flow from financing activities during 2012? (Enter...
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You are given a choice of taking either $100 today or $125 in two years. Which would you prefer and why? a) The $125 in two years since it includes interest. b) $100 today since you could invest it now and have more than $125 in two years. c) $100 today since it includes interest. d) $125 in two years since...
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The aluminum rod BC (G = 27 GPa) is bonded to the brass rod AB (G = 39 GPa). Knowing that each rod is solid and has a diameter of 15 mm, determine the angle of twist at C.
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Carr Corporation retires its $100,000 face value bonds at 105 on January 1, following the payment of interest. The carrying value of the bonds at the redemption date is $103,745. The entry to record the redemption will include a: a. debit of $3,745 to Premium on Bonds Payable b. debit of $5,000 to Premium on Bonds Pa...
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A repeated-measures study uses a sample of n = 15 participants to evaluate the mean difference between two treatment conditions. If the researcher measures effect size using r², which value is expected for r² if the study produces a t statistic with df = 30?
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In a competitive industry, firms are currently earning economic profit in the short run. According to the rule of thumb we learned in class, which one of the following statements is correct? A) the firms in the industry should raise price by slightly more than 10% to earn higher economic profit. B) the firms in the i...
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You purchased a $10,000 debenture bond for $9,000. The bond pays interest semiannually at the rate of 8% per year. If the bond matures in 10 years, determine your annual rate of return on this investment, assuming the bond is a zero-coupon bond. The future amount is _____ (Do not round intermediate calculations. Round ...
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Consider the group $A_4\times \mathbb{Z}/2$, where $A_4$ is the alternating group on four elements, and $\mathbb{Z}/2$ is the cyclic group of order 2. Why does $G=\langle (12)(34), (1234),(12),(34)\rangle$ have order 8, while $(1234)$ has order 4 and $\langle (1234)\rangle $ is a subgroup of order 4, making $G/A_4\time...
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Your income is $100, and your friend's income is $50. If you give your friend $10, then _____. a. Your opportunity cost is $10 and your friend's opportunity cost is $10 b. Your opportunity cost is $10 and your friend's opportunity cost is $0 c. Your opportunity cost is $0 and your friend's opportunity cost is $10 d...
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On July 1, 2013, Green Company paid $2,130,000 for 60% of the common stock of Norton, Inc. and completed the acquisition of this stock on that date. On December 31, 2013, Norton reported net income of $600,000 and declared dividends of $150,000. Prior to the acquisition, Norton was a public corporation with a net asset...
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Jorge Corporation reported the following year-end amounts: Sales $1,200,000 Cost of goods sold $ 780,000 Depreciation expenses $ 100,000 Salaries paid to employees $ 150,000 Taxes paid $ 60,000 Based on this information alone, how much is the firm's EBIT? a. $450,000 b. $290,000 c. $150,000 d. $90,000
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A firm has 250,000 shares of stock outstanding with a market price of {eq}\$18 {/eq} a share. The company is expected to pay an annual dividend and that dividend is expected to be {eq}\$1.25 {/eq} a share next year and the dividend is expected to continue to grow at the rate of {eq}5 \% {/eq}. The firm also has {eq}...
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You are the manager of a firm that receives revenues of $40,000 per year from product X and $90,000 per year from product Y. The own-price elasticity of demand for product X is -1.5, and the cross-price elasticity of demand between product Y and X is -1.8. How much will your firm's total revenues (from both products) c...
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Parker Company uses the indirect method to prepare the statement of cash flows. Refer to the following portion of the comparative balance sheet: Assets December 31, 2010 December 31, 2009 Increase (Decrease) Cash $ 10,000 $ 6,500 $ 3,500 Accounts Rec...
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Sabas, Inc. owns no plant assets and reported the following income statement for 2012. Sales revenue$590,000 Variable costs$410,000 Fixed costs$113,000 Net income$77,000 Management is considering replacing a component part with a higher quality one. The higher quality component part would increase fixed costs by $26,...
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Susan Allingham makes a forecast of demand for the month of August, using exponential smoothing, with α = 0.35. The actual demand and her forecast for July were both equal to 82 units. Her forecast for August is A) 73.5 B) 78.5 C) 82.0 D) 88.3
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Find the average value of the function {eq}\displaystyle f(x,y,z)=x+y+z\ \ \text{on the solid sphere}\ \displaystyle x^2+y^2+z^2 \leq 9 {/eq}
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A charge of 11.0 μC is located at (4.40 m, 6.22 m), and a charge of -18.0 μC is located at (-4.50 m, 6.75 m). What charge must be located at (2.23 m, -3.31 m) if the electric potential is to be zero at the origin?
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Find the orthogonal complement of $A=\{(x,y) \mid 3x=2y\} \subseteq \mathbb{R}^2$, given the standard inner product on $\mathbb{R}^2$.
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A solution is prepared by mixing 100.0 mL of 0.10 M triethylamine with 1.0 mL of 0.1 M HCIO4. What is the equilibrium pH of this solution?
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Show that the vector field F(x,y,z) = (-y, x, z) is conservative by finding a potential function f so that $\nabla f= F$. Then use the Fundamental Theorem for Conservative Vector Fields to calculate the work done by F in moving a particle along a path from (0,0,0) to (3,2,1). Give the exact answer.
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Intuitively, why are "sunk costs" ignored in the calculation of marginal cost and marginal benefit?
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Find the volume of the solid under the surface {eq}z = 8xy{/eq} and above the triangle with vertices {eq}(1, 1), (4, 1){/eq}, and {eq}(1, 2){/eq}.
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It is expected that only _____ students will complete a psychology major with a high grade point average and enter the workforce in this field. a. a small number of b. a number of c. large numbers of d. fewer than 100
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What is the probability that more than 15% of 600 randomly chosen students smoke, given that 10% of all college students smoke?
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Net capital outflow in the United States _____. a. is equal to U.S. national saving, b. equals private saving minus domestic investment, c. equals private saving plus domestic investment, d. equals domestic investment minus private saving.
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A rectangular loop of wire of width 20 cm and length 30 cm is in a magnetic field 0.02 T. The closest you can bring a second magnetic field of the same magnitude to the first is 10 cm away. What current will cause a net magnetic field strength of zero at the midpoint between the two loops? a. 10 A b. 15 A c. 20 A d...
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A monopolist faces the following demand curve and has total costs as indicated in the table below. What is the monopolist's profit-maximizing choice of output, price, and total profit? Quantity Price Total Cost ($) ($) 1 20 3 2 18 6 ...
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$\lim_{n\rightarrow \infty }\sin \left ( \frac{1}{n^{2}} \right )+ \sin \left ( \frac{2}{n^{2}} \right )+ \cdots +\sin \left ( \frac{n^{2}-1}{n^{2}} \right )+\sin \left ( \frac{n^{2}}{n^{2}} \right )=\int_{0}^{1}\sin\left ( x \right )dx=1-\cos \left ( 1 \right )$
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Jasie owned stock in Ame Corporation that she donated to a university (a qualified charitable organization) on September 7, 2016. What is the amount of Jasie's charitable contribution deduction assuming she had purchased the stock for $17,700 on May 11, 2015, and the stock had a value of $24,900 when she made the dona...
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For the following reaction step, indicate which pattern of arrow pushing it represents. a) proton transfer b) loss of leaving group c) nucleophilic attack d) rearrangement
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The market value of a firm's common stock, preferred stock, and debt are $2.5 million, $1.0 million, and $2.0 million, respectively. The required rate of return on this stock is 12%, the required rate of return on preferred stock is 10%, and the before-tax cost of debt is 7%. The corporate tax rate is 20%. What is the...
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Find the center of mass of a thin plate covering the region between the x-axis and the curve {eq}y = 2/x^2, \; 1 \leq x \leq 2{/eq}, if the plate's density at the point {eq}(x, \; y){/eq} is {eq}d(x) = x^2{/eq}.
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You are considering a project that will produce cash inflows of $2,000 a year for three years followed by $500 in Year 4. The initial cost of the project is $4,600. What is the internal rate of return if the required return is 13%? A. 24.90% B. 11.90% C. 12.86% D. 12.57% E. 10.56%
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Given the following sales forecast for the year, what are the dollar sales needed to attain the budgeted cash balance of $47,680? Cash Sales Credit Sales Jan. $50,000 $260,000 Feb. $54,000 $280,000 Mar. $42,000 $240,000 Apr. $56,000 $250,000 May $48,000 $230,000 Jun. $52,000 $240,000 Jul. $50,000 $250,000 Aug. $54,000...
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A project has a required return of 13.9%. What is the internal rate of return, if annual payments of $3,800 are received for 10 years?
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Use a change of variables to evaluate the integral {eq}\int_R \int e^{x - 3y} dx dy where R is the region bounded by the line y = x and the parabola {eq}y^2 = 4 - x.
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What is the annual nominal rate if the real return is 3.5% and the inflation rate is 5%?
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Determine the moment of inertia of the thin rectangular plate about an axis that lies in the plane of the plate, passes through one corner, and makes an angle of 30.0° with a diagonal of the plate. (Use mass m and side lengths a and b to represent any quantities in your expression.)
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A 12.2-kg child is standing on the outer edge of a merry-go-round which has moment of inertia {eq}928\ kg. m^2 {/eq} and radius 2.40 m. The entire system is initially rotating at 0.150 rev per s. Find the angular velocity if the child moves to a final position 1.10 m from the center of the merry-go-round. Express your...
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How can power and influence be acquired through the use of expertise, and what might be a likely reaction from those who receive this influence? a. Through legitimate power, and they may respect the person b. Through expert power, and they may disregard the person c. Through reward power, and they may be weakly infl...
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In order for a price-discrimination scheme to be effective at boosting profit, the seller must: a) have market power. b) prevent resale. c) restrict resale. d) be a monopolist. e) be selling a necessity.
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Cloud Corporation uses a single production department to manufacture its product. All direct materials are introduced at the beginning of production. The company's relevant range of production is 30,000 to 80,000 units. Its flexible budget performance report for February showed the following: Actual Results Flexible B...
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The estimated annual factory overhead cost is $400,000. It is estimated that 10,000 direct labor hours and 15,000 machine hours will be worked during the year. Actual factory overhead costs are $360,000. Actual direct labor hours and machine hours were both 10% more than the estimated amount. What is the over/under app...
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Kirk Metals has been approached by Bananium Enterprises to purchase one of its inventory items for a one-time only special order. The following information is available for the item: Beginning inventory: 5,000 units Normal selling price per unit: $50 Variable cost per unit: $40 Fixed overhead cost: $30,000 Require...
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The demand for a product is more elastic the: A. more broadly defined the product. B. higher the price of the product is. C. less substitutes available for that product. D. smaller the share of a consumer's income the item represents. E. none of the above.
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Depreciation expense in the first year for a piece of equipment purchased for $24,000 with an estimated 8-year life is $3,200 using the: (Choose the correct answer) a. straight-line method. b. units-of-production method. c. double-declining-balance method. d. first-year-of- a-property's life method.
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Reclaim Corp uses the FIFO method in its process costing system. The Assembly Department started the year with a beginning inventory of 6,400 units, and it ended the year with a ending inventory of 14,600 units. In computing unit costs for the year, the equivalent units for conversion costs would be: a. 38,600 units. ...
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Wilden Corporation operates a wholesale merchandising company and sells merchandise with an estimated life of three years. The company recorded the following transactions during November: 1. Sold merchandise on account to Grant and Sons Company, $21,900 2. Purchased merchandise from General Corp. for cash, $9,800 3....
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Net cash flows for the year ended December 31, 2016, for Fisher Company were as follows: Cash receipts: From the sale of inventory: $200,000 From the sale of plant assets: 215,000 From the issuance of bonds: 300,000 Cash payments: For suppliers and employees: 450,000 For interest: 35,000 ...
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