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Use the sum formula to obtain the indicated sum. {eq}\sum^{4}_{n=1} 2n {/eq}
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A state meat inspector in Iowa has been given the assignment of estimating the mean net weight of packages of ground chuck labeled "3 pounds." Of course, he realizes that the weights cannot be exactly 3 pounds. A sample of 36 packages reveals the mean weight to be 3.01 pounds, with a standard deviation of 0.08 pounds. ...
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A machine can be purchased for $90,000 and used for five years, yielding the following net incomes. In projecting net incomes, straight-line depreciation is applied, using a five-year life and a zero salvage value. Year 1Year 2Year 3Year 4Year 5 Net income$6,000$15,000$36,000$22,500$60,000 Compute the machine's pay...
2.61 years
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The random variables X and Y are defined as follows: X = min(U, 1) and Y = max(2U, U + V), where U and V are independent and uniformly distributed over [0, 1]. Find the means and variances of X and Y.
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Simplifying complex problems by reducing them to their most basic elements is called _____. a. heuristics b. natural concepts c. means-end analysis d. algorithms
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Refer to the figure below. This country is currently producing efficiently at which point? a. point B b. point E c. point G d. point I e. any point along the PPF
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A stock has a beta of 1.35, the expected return on the market is 12 percent, and the risk-free rate is 5 percent. What must be the expected rate of return on this stock? (Do not round intermediate calculations and enter your answer as a percentage rounded to 2 decimal places, e.g., 32.16.)
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A firm with a constant marginal cost will have an average total cost curve? a. that is higher than its competitors?. b. that is lower than its competitors?. c. that asymptotically approaches its marginal cost. d. that is strictly increasing throughout.
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A monopoly is maximizing its profit. The marginal cost is $20 and the selling price is $30. What is the price elasticity of demand?
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A monopoly that is the only producer of a good or service for which a patent has been granted _____. A. may make a positive economic profit in the long run B. could create a positive externality in the market C. could create a negative externality in the market D. should charge a price equal to marginal cost in ord...
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Let $f$ be continuous on $[0,1]$ and if $\int_0^1 f(x)x^n=0$ for $n=0,1,2,\cdots$, prove that $\int_0^1 f^2(x)=0$.
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Calculate the probability that between 340 and 370 adults over 65 in the study suffer from one or more of the conditions considered in the study, given that 45% of adults over 65 suffer from one or more of the conditions considered in the study and the number of adults over 65 in the study is n = 750. Give your answer ...
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Evaluate {eq}\displaystyle \iint_{S} f (x,\ y,\ z)\ dS {/eq}, where {eq}f (x,\ y,\ z) = x + y {/eq} and {eq}S: z = 1 - x^2 - 2y^2 {/eq}, assuming {eq}S {/eq} is oriented upward.
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If the cost of equity for a firm is 12% and the firm's debt-to-equity ratio is 1.0, what is the after-tax cost of debt, assuming the marginal tax rate is 35%? a. 6.5% b. 7% c. 9% d. 12%
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Solve the initial-value problem. {eq}y'' +y'+3y = 0, \; y(0) = y'(0) = 0 {/eq}
y(x) = 0
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Jim is age 38 and single. His employer provides a qualified plan that allows him to make contributions of up to $8,000. Jim's salary is $48,000. Jim's family's total modified adjusted gross income (MAGI) is $80,000. What is Jim's maximum contribution to the plan? a. $5,000 b. $6,720 c. $8,000 d. Jim cannot make a ...
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Suppose you deposit $900 cash into your checking account. By how much will the total money supply increase as a result when the required reserve ratio is 10%?
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Malick Corp. pays its rent of $36,000 annually on January 1. If the February 28 monthly adjusting entry for prepaid rent is omitted, which of the following will be true? a. Prepaid rent is overstated by $3,000 and net income and stockholders' equity are overstated by $3,000. b. Rent expense is overstated by $6,000 an...
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When constructing a competitive strength assessment, one looks at factors both internal to and external to the firm. A) True B) False
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The tread life of the tires on a certain car follows a normal distribution with a mean of 32,000 miles and a standard deviation of 8000 miles. What is the probability that ≤3 tire will last between 30,000 and 36,000 miles?
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AFS company has a monopoly in the soda industry in this country. The demand curve, marginal revenue and marginal cost curve for soda are given as follows: P = 360 - 4Q MR = 360 - 8Q MC = 4Q At the profit maximizing level of output, what is the level of producer surplus?
1800
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Albertson Inc. sold some equipment and received $100,000 cash from the buyer. The book value of the sold equipment was $40,000. What was the effect of the sale on income before income taxes? a. Increase of $60,000. b. Decrease of $100,000. c. Increase of $100,000. d. Decrease of $40,000.
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Find the producers' surplus at a price level of $6 for the price-supply equation p = S(x) = 9 + 0.3x, where p is the price and x is the demand.
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From the following data for a closed traverse compute the missing data: LINE LENGTH BEARING AB 100 m. S 60° W BC 150 m. CD 300 m. N 60° E DE 200 m. N 45° W EA Answer: _____ m., _____ S _____ W
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Which of the following is incorrect regarding the anatomy of the heart? a. The pericardium is divided into two layers. b. The pericardium is composed mostly of adipose tissue. c. The boundary between the left and right ventricles is called the interventricular septum. d. The part of the pericardium attached to the ...
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A company's old machine that cost $56,000 and had accumulated depreciation of $44,400 was traded in on a new machine having an estimated 20-year life with an invoice price of $67,600. The company also paid $57,400 cash, along with its old machine to acquire the new machine. If this transaction has commercial substance,...
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Sibble Corporation is considering the purchase of a machine that would cost $440,000 and would last for 5 years. At the end of 5 years, the machine would have a salvage value of $82,000. By reducing labor and other operating costs, the machine would provide annual cost savings of $99,000. The company requires a minimum...
a
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Using the equity method, if the investor company sells inventory that was purchased for $100,000 to the investee company for $150,000 and the investee uses the inventory to produce 1,000 units of a product that sells for $180 each, what is the intercompany profit to be eliminated? a. $40,000 b. $50,000 c. $60,000 d...
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Assume that the voltage difference V between the ends of a conducting wire is held constant. If the resistance R in the wire is reduced by a factor of 2, how will the current I change? A. Increased by a factor of 2 B. Reduced by a factor of 2 C. Unchanged D. Decreased by a factor of 4 E. Increased by a factor of 4
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Use the differential dy to approximate Δy when x changes as indicated. y = x/(x^2+1) ; from x=2 to x=2.04
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FIFO inventory method would normally result in a lower net income for the period when costs are rising. a. True b. False
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Because there are no diminishing returns in the stock of ideas in the Romer model: a) old ideas continue to contribute to current economic growth, b) economic growth cannot be sustained forever, c) the economy eventually reaches a steady state, d) economic growth eventually slows, e) new ideas must be continually ...
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Equivalent units for a process costing system using the FIFO method would be equal to: a. units completed during the period, plus equivalent units in the ending work in process inventory. b. units started and completed during the period, plus equivalent units in the ending work in process inventory. c. units complet...
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Let X be the amount a customer spends in a day at a certain store. Assume that the average amount a customer spends in a day at the store is $35.00. Also, assume that the standard deviation of X is $12.00. On average, how much does a 30-customer day last randomly selected group of customers spend?
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S Corp. uses straight-line depreciation. This year, they sold a piece of equipment for $20,500 net that originally cost $24,500 and had accumulated depreciation of $6,500. If they are in the 35% tax bracket, what is the after-tax salvage value of the equipment?
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Which of the following would be true of a firm experiencing decreasing returns to scale? a. Increasing the quantity of all inputs by 50 percent would decrease the firm's output by less than 50 percent. b. Increasing the quantity of all inputs by 50 percent would leave the firm's output unchanged. c. Increasing the q...
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Suppose that the supply function for a good is {eq}p = 12x^2 + 6x + 48{/eq}. If the equilibrium price is $351 per unit, what is the producer's surplus there? (Round to two decimal place.)
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Where does the $10,000 in the US on October 9, 2011, portfolio question go under the headings? That is the cash from the foreign exchange transaction. That is not an income statement item. Furthermore, there is no income statement item for the foreign exchange gain on the US $100,000 bonds (p. 108). Yet, the US balance...
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Suppose that 15% of the people in a large city have used a hospital emergency room in the past year. If a random sample of 110 people from the city is taken, approximate the probability that at least 17 used an emergency room in the past year. Use the normal approximation to the binomial with a correction for continuit...
0.5
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Use a sample of 4 points to estimate the volume under the surface {eq}z=3y^2-2x{/eq} above the rectangle {eq}R=(0,4) \times (0,1){/eq}. Use the upper left corners.
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Pre-industrial data showing a negative correlation between homicide rates and economic growth were later shown to be the result of (a) Sample selection bias. (b) Measurement error. (c) Omitted variable bias. (d) Multicollinearity. (e) None of the above.
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The following are Silver Corporation's unit costs of making and selling an item at a volume of 8,700 units per month (which represents the company's capacity): manufacturing: Direct materials $ 2.60 Direct labor $ 3.60 Variable overhead $ 2.10 Fixed overhead $ 0.65 Selling and administrative: Variable $ 3.60 Fi...
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Use the Newton-Raphson method to approximate the root of the equation {eq}x^3 - 2x - 2{/eq} with three correct decimal places, given that {eq}x_1{/eq} = 2.
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A company buys a piece of equipment for $50,000 that will last for 10 years. Using MACRS depreciation with a 5-year recovery period, what will the accumulated depreciation be at the end of year 3?
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Which of the following affects both the supply and demand for bonds? a. real return b. liquidity c. inflation d. none of the above
c
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Your firm is considering a potential investment, which is expected to generate an income stream of $5,000 in year 1 and $10,000 in year 2. Your firm's cost of capital is 10%. Based on the information provided, the investment has a present value of _____. A) $13,636.36 B) $15,690.08 C) $15,324.00 D) $13,333.33
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Which of the following conditions must be fulfilled before L'Hospital's rule can be applied? A. The function must be continuous. B. The function must have a vertical asymptote at x = c. C. Both the numerator and denominator must have derivatives. D. Both the numerator and denominator must approach zero or approach ...
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The purchase cost of a mid-size new luxury car has a normal distribution with a mean of $35,000 and a standard deviation of $5,000. What is the probability that the average cost of four such new cars is more than $30,000?
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Use the curl theorem to compute the work done by the field {eq}\mathbf{F} = y\mathbf{i} + z\mathbf{j} + x\mathbf{k} {/eq} on a particle moving counter-clockwise around the triangle with vertices (1, 1, 1), (1, -1, 1) and (-1, -1, 1).
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You need to borrow $18,000 and want to repay the loan in 5 years by making equal annual end-of-year payments. Assuming that the interest rate on the loan is 5.75%, what will the annual payments be? A. $3,945.56 B. $4,099.24 C. $4,161.13 D. $4,570.39 E. $4,737.77
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Why does the function $f_n(x) = (n+1)(1-x)c^n$ converge to $0$ as $n$ approaches infinity if $|c| < 1$?
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You read in The Wall Street Journal that 30-day T-bills are currently yielding 3.5%. Your brother-in-law, a broker at Safe and Sound Securities, has given you the following estimates of current interest rate premiums: Inflation premium = 3% Liquidity premium = 0.3% Maturity risk premium = 0.9% Default risk premium ...
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At a large public university, GPAs are normally distributed. If the mean GPA is 2.90 and the population standard deviation is .75, what is the probability that randomly chosen student will have a GPA of greater than 3.1?
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Let $G$ be the permutation group $(123456789)(123456789)(123456789)$. Find the order of $G$ using the formula $|G| = \frac{|X|^{|G|}}{|G|}$. How do I calculate $|G|$?
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Use L'Hopital's Rule to evaluate the following limit: $\lim_{x \rightarrow 1} \frac{(x^3-3x+2)e^{x-1}}{x^3-1}$
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What will be the approximate value of the U.S. dollar with respect to the Japanese yen in 2015 if the 2000 spot rate is $0.008631/¥ and the yen is expected to appreciate by 10.2 percent annually over the next 15 years?
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What is the mistake in my derivation of the variance of a Bernoulli distribution using the formula $\sigma_x^2=\sum_{i=1}^k(x_i-\mu_X)Pr(X=x_i)$ which leads to an incorrect result of $\sigma_x^2 = 0$?
p(1-p)
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Which of the following statements is not correct? a. If the left-hand and right-hand derivatives exist at {eq}c{/eq}, then the derivative exists at {eq}c{/eq}. b. If a function {eq}f{/eq} has a removable discontinuity at {eq}c{/eq}, then the derivative does not exist at {eq}c{/eq}. c. If {eq}f{/eq} has a derivative ...
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Find the beta of a portfolio consisting of the following stocks: - Stock C has a weight of 40%, a beta of 0.7, and an expected return of 8%. - Stock A has a weight of 20%, a beta of 0.6, and an expected return of 6%. - Stock F has a weight of 10%, a beta of 1.5, and an expected return of 12%. - Stock R has a weight of...
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X Corp. had 200,000 shares of $20 par common stock and 20,000 shares of $100 par $4 cumulative convertible preferred stock outstanding for the entire year ended December 31, 2011. Each share of preferred stock is convertible into 5 shares of common stock. Net Income for 2011 was $1,200,000. For the year ending 2011, w...
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In a repeated-measures study comparing two treatments, a researcher obtains a sample mean difference of 0.56 points with an estimated standard error of 24 points. If the data are measured on an interval scale, what is the 95% confidence interval for M1 - M2? a. 0.56 ± 1.96 b. 0.56 ± 0.10 c. 0.56 ± 98.86 d. 0.56 ± 1...
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Carrejo Corporation has two divisions: Division M and Division N. Data from the most recent month appear below: Total Company Division M Division N Sales$343,000$158,000$185,000 Variable expenses111,93049,84062,090 Contribution margin231,070108,160122,910 Traceable fixed expenses164,00082,00082,000 Segment margin67,...
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Using Green's Theorem, find the outward flux of F across the closed curve C, where F = (x^2 + y^2)i + (x - y)j and C is the rectangle with vertices at (0, 0), (1, 0), (1, 2), and (0, 2).
-2
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Stock in ABC Enterprises has a beta of 1.82. The market risk premium is 7.5%, and T-bills are currently yielding 3.3%. ABC's most recently paid dividend was $1.65 per share, and dividends are expected to grow at an annual rate of 2% indefinitely. If the stock sells for $36 a share, what is your best estimate of ABC's c...
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Suppose that last year the nominal GNP in the U.S. was $100 billion, and the GNP deflator was 200. If the GNP deflator is now 400, and the nominal GNP is $200 billion, then the real GNP is _____ billion, and the economy has experienced _____ in terms of living standards. a) $50; no change b) $50; an improvement c) $...
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What is the equation to find the limit of [(2n-1)/(2n+1)]^(2n+1) as n approaches infinity?
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What is the probability that a randomly selected 3G cell phone has between 5000 and 7000 megabytes of memory, given that the average is 6000 MB and the standard deviation is 1000 MB? Assume the variable is normally distributed.
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On January 1, 2018, Silver Corp. issues $600,000 of 8% bonds. The bonds have a term of 10 years and mature on December 31, 2027. Each $1,000 bond has a face interest rate of 6% per year. The bonds pay interest semiannually on June 30 and December 31. The bonds are sold at a discount to yield an effective interest rat...
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Find the estimated regression line given {eq}n = 12, \sum x = 66, \sum y = 588, \sum xy = 2244, \sum x^2 = 396.{/eq} Use this format as an example when submitting your equation : 123 - 45x
214 - 30x
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The level of aggregate demand in an economy in the long-run is determined by which of the following factors? a. actual GDP and potential GDP b. actual GDP and the interest rate c. the interest rate and aggregate demand d. potential GDP and the price level e. potential GDP and aggregate demand
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How do you evaluate the limit #lim_(n->oo) [sin(1/n)]^n#?
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An investor currently holds the following portfolio: Amount Invested 8,000 shares of Stock A $16,000 Beta = 1.3 15,000 shares of Stock B $48,000 Beta = 1.8 25,000 shares of Stock C $96,000 Beta = 2.2 The investor is worried that the beta of his portfolio is too high, so he wants to sell some stock C and add stoc...
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Hobbs Corporation sells office equipment and supplies to governmental and non-profit organizations in Michigan. They are considering the purchase of new inventory management software. It will cost them $52,500 to purchase and install the software. The software is expected to generate cost savings of $11,500 per year. T...
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Project K costs $60,000, its expected cash inflows are $14,000 per year for 9 years, and its WACC is 14%. What is the project's NPV? Do not round intermediate calculations. Round your answer to the nearest hundred dollars.
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What sample size would be needed to construct a 95% confidence interval with a margin of error of 10 points for SAT-Math score in all Penn State statistics majors, given a sample standard deviation of 40?
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I'm trying to prove: $\lim_{t\rightarrow 0} \dfrac{t}{\ln(1+t)}=1$ without use L'Hospital and derivate, because I still do not define derived from the logarithm, is there any way to prove it by the definition epsilon-delta? So far I have only defined $\log$ as the inverse function of $a^{x}$ and particular case $a = e$...
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Barnes and Miller, Inc. uses the indirect method to prepare the statement of cash flows. Refer to the following sections of the comparative balance sheet: ASSETS Cash increased by $11,000 Accounts Receivable decreased by $5,500 Inventory increased by $6,800 Plant and...
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Investment 1 has an IRR of 15% and Investment 2 has an IRR of 20%. If the initial cash outlay for Investment 2 is less than that for Investment 1, is the NPV of Investment 1 always greater than that for Investment 2? a. Yes, because the IRR for Investment 1 is lower than that of Investment 2. b. Yes, because it has a...
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If {eq}G(x, y) = xy^2 - x^2y {/eq}, find the following. (a) {eq}\dfrac{\partial G}{\partial x}(-5, 1) {/eq} (b) {eq}\dfrac{\partial G}{\partial y}(-5, 1) {/eq}
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Which of the following is not a source of systematic risk? a. Interest rate risk b. Competition risk c. Business risk d. Political risk
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If the 10 percent present value ordinary annuity factor is 8.5136 and the 11 percent PVAF is 7.9633, a PVAF of 8.1234 correlates to an IRR of _____.
10.71%
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A discount bond that has a face value of $1,000 and currently sells for $450 has a yield of: a) 11.11% b) 22.22% c) 12.12% d) None of the above
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We would expect that an increase in the price of a firm's output would result in an increase in: A) the average fixed cost. B) the average variable cost. C) both the average variable cost and the average total cost. D) neither the average variable cost nor the average total cost.
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Cliff Enterprises had net income of $43,000 and sales of $320,000 in 20X2. Cliffs total assets at the end of 20X1 was $500,000 and its total assets at the end of 20X2 were $620,000. Cliffs total stockholders' equity at the end of 20X1 was $320,000 and its total stockholders' equity at the end of 20X2 was $350,000. What...
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Preferred stock is different from common stock because preferred stock: A) generally has a stated liquidating value of $100. B) generally has a stated liquidating value of $1000. C) is generally considered to be less risky to investors. D) generally has a higher rate of return. E) none of the above
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The ____ are the final line of management in the organization and are responsible for translating the organization's plans and goals into actionable steps, overseeing the daily operation of departments, and implementing policies and procedures. a. first-level managers b. top managers c. middle managers d. senior ma...
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Considering the component ratios used in the DuPont equation, which of the following strategies should improve the company's ROE? a) Increase the efficiency of its assets so that it generates more sales with each dollar of asset investment and increases the company's total asset turnover. b) Decrease the company's us...
a
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Peanut butter and jelly are complements in consumption. Assuming that the supply curve of peanut butter is upward sloping, if there is a decrease in the price of jelly, producer surplus in the peanut butter market: a. will decrease. b. will increase. c. will not change. d. may change, but it is impossible to tell w...
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Jared Company reports the following income information for the calendar years 2014, 2015, and 2016. Net income$150,000 Depreciation expense$27,000 Unrealized holding loss on available-for-sale securities($4,500) The component of unearned income from within-substance transactions included in net income($1,500) An...
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On January 1, Year 1, the Guthrie Corporation issues 20-year bonds with a face value of $100,000 and a stated interest rate of 10%, payable semiannually on June 30 and December 31 of each year. The bonds are sold for $105,000. Use the straight-line method to amortize any bond discounts or premiums. The annual market in...
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A study is performed to assess whether there is an association between exposure to second-hand smoke in infancy and delayed development. Fifty children with delayed development and fifty with normal development are selected for investigation. Parents are asked whether their children were exposed to second-hand cigarett...
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Assume that a student received a passing mark for a test, i.e., at least 45% of the questions were correct. Suppose the student's teacher knows that the student got a 45% mark but the student does not. The teacher gives a second exam consisting of 42 questions. Assume that the student answers questions from the first t...
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An estimate based on an analysis of receivables shows that $768 of accounts receivables are uncollectible. The Allowance for Doubtful Accounts has a debit balance of $85. After preparing the adjusting entry at the end of the year, the balance in the Allowance for Doubtful Accounts is the one listed below. a. $853 b. ...
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Why does $\lim_{r \to 0^+} r\log r = 0$ in the context of polar coordinates? Specifically, if we consider a small circle $S$ centered at the origin with radius $r$, how is the integral of $F(r,\theta) \cdot N(r,\theta) dr$ over $S$ related to the length of $S$, and why does this imply that $\lim_{r \to 0^+} r\log r = 0...
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Which of the following best describes how funds released from a deferred tax asset valuation account are used? a. On the income statement as tax expense. b. To decrease tax expense on the income statement. c. To increase tax expense on the income statement. d. In the financial statements notes.
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Materials used that can be traced to the final product in an economically feasible manner should be included as: a. a period cost. b. a direct cost. c. an indirect cost. d. either a direct or an indirect cost.
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Harris Corporation issued ten-year, 12% bonds payable at 104. On December 31, 2017, the company's balance sheet should reflect these bonds as: a. Bonds Payable of {eq}\$520,000 {/eq} and a Premium on Bonds of {eq}\$20,800 {/eq}. b. Bonds Payable of {eq}\$480,000 {/eq} and a Premium on Bonds Payable of {eq}\$40,000...
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Information related to Coronado Corp. for 2017 is summarized below. Total assets $2,820,000 Total liabilities 1,600,000 Current assets 642,000 Inventory at December 31, 2017 456,000 Total revenues 7,580,000 Total expenses (including 880,000 of depreciation) 5,420,000 Cash paid for inventory 3,120,000 Cash pai...
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The "short run" in macroeconomics is a period in which prices: A) change by a lot. B) are determined by changes in the supply. C) reflect the equilibrium price. D) do not change or change very little.
D
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Treast is an inventory manager at the local warehouse. On the inventory report today, his supervisor commented that his inventory has not been reducing over the last week. That is the entire inventory holding cost was $765, and the total number of items sold was 12,600 units. What is the inventory holding cost per unit...
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