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Consider the mechanical energy of a body at rest on the ground at the Earth's equator, at {eq}{{r}_{e}}=6400\text{ km} {/eq}. Consider the mechanical energy of the same body at rest on the ground at the South Pole, at {eq}{{r}_{e}}=6400\text{ km} {/eq}. For this problem, we consider the Earth to be spherical. (Remember...
0.11 MJ/kg
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You have $42,180.53 in a brokerage account, and you plan to deposit an additional $5,000 at the end of every future year until your account totals $260,000. You expect to earn 12% annually on the account. How many years will it take to reach your goal?
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Consider the integral $$\int_{1}^{e}\frac{8}{\sqrt[3]{x^2-1}}dx$$ State if the integral is divergent. Otherwise, evaluate the integral.
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Suppose that a molecular ion with charge -10e is embedded within the 5.0-nm-thick cell membrane of a cell with membrane potential -70 mV. What is the electric force on the molecule?
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Is it true that the Lagrangian function evaluated at the optimal solution {eq}L(x^*, \lambda^*) = 0{/eq}, given that $f(x) - g(x) = 0$ and the KKT conditions are satisfied?
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Ackerman Co. has 8 percent coupon bonds on the market with eight years left to maturity. The bonds make annual payments. Required: If the bond currently sells for $1,123.94, what is its YTM? 13.15%, 6.93%, 8.07%, 11.15%, 10.08%
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The HNH Corporation will pay a constant dividend of $5.00 per share, per year, in perpetuity. Assume all investors pay a 15% tax on dividends and that there is no capital gains tax. Suppose the other investments with equivalent risk to HNH stock offer an after-tax return of 12%. What is the price of a share of HNH stoc...
35.42
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A restaurant is considering financing a new building for $500,000 at a rate of 8 percent. The loan is to be paid off in six years by equal annual payments. What is the annual payment amount? a. $85,143 b. $78,385 c. $79,778 d. $105,728 e. $113,722
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AgNO{eq}_3 {/eq} is being used to "titrate" a sample of NaCl(aq). How many moles of NaCl(aq) are there in a sample if 24.1 mL of 0.100 M AgNO{eq}_3 {/eq} are needed to "titrate" the sample to the equivalence point?
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Suppose that a firm is in perfect competition and is maximizing profit. The price is $8, average fixed cost is $6, average variable cost is $7, and marginal cost is $8. Based on the information, which of the following statements is true? A) The firm should reduce output to maximize profit. B) The firm is incurring a ...
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A _____ financial structure tends to have a _____ cost of capital. A. conservative; lower B. conservative; higher C. risky; lower D. risky; higher
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Assume the real risk-free rate is 3.25 percent and that inflation is expected to be 2.75 percent this year, 4.50 percent next year, and 2.35 percent thereafter. The maturity risk premium is estimated to be equal to 0.05 percent times the bond's term to maturity. What is the yield on a 3-year Treasury note? (Hint: Obtai...
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Suppose the market demand and supply for pizza are given by {eq}Q_d = 300 - 20P, \; Q_s = 20P - 100 {/eq}, respectively. Calculate the producer surplus at equilibrium.
250
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Kaminski Inc. reported the following results for the year: Sales {eq}\$6,400,000 {/eq} Variable manufacturing expenses {eq}\$3,600,000 {/eq} Fixed manufacturing expenses {eq}\$1,500,000 {/eq} Variable selling and administrative expenses {eq}\$2,100,000 {/eq} Fixed selling and administrative expenses {eq}\$600,...
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Miguel is in the 35% tax bracket and earns $1,200 of interest income per year on her savings account. Interest paid is tax deductible for Miguel. What is Miguel's tax liability on her interest income? a. $0 b. $350 c. $420 d. $480 e. None of the above
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Suppose a monopolist faces the following demand curve: P=100-3Q. The monopolist's marginal costs are 2Q, and total fixed costs are $20. Calculate the monopolist's profit.
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In this problem, you will calculate the value of a 5%, 10-year, zero-coupon bond with a par value of $1,000 and a yield of 6%. The appropriate table to use is the present value table for single sums. Assuming annual compounding, what is the value of this bond?
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Dennard Corporation has in stock 5,500 pounds of Material Q75 that it bought five years ago for $7.10 per pound. This raw material was purchased to use in a product line that has been discontinued. Material Q75 can be sold as-is for scrap for $7.25 per pound. An alternative would be to use Material Q75 in one of the co...
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Year 0 1 2 3 4 Cash flow $10k $0 $5k $0 $10K The rate of return is: A. 8.91% B. 11.2% C. 100% D. Cannot determine
D
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This bond will pay $35 interest semiannually and will mature in 3 years. The coupon rate of interest is _ (a) 5%, (b) 10%, (c) 15%, (d) 20%.
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Rank the power, from highest to lowest, of a treatment with 40 participants in a pretest-posttest design, a repeated measures design, a matched sample design, and an independent sample design, assuming the distributions of the dependent variable are normally shaped.
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Compute the minimum number of units that must be sold to earn a minimum net income of $108,000, given the following data: Selling price is $10.70 per unit, variable manufacturing costs are $5.20 per unit, fixed manufacturing costs are $40,000, selling and administrative expenses are $25,000, half of which are fixed, th...
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On January 1, 2012, the Burch Corporation issued 10-year, 9%, bonds payable in the face amount of $1,000,000. Interest is payable semiannually on July 1 and January 1, and the bond issue was sold for $996,783. Burch uses the straight-line method of amortization. Amortization of premium or discount is recorded on a sepa...
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Which of the following risk factors are the most important for purchasers of long-term high-grade bonds? a. The ability to pay interest when due b. The ability to pay principal upon maturity c. Limited marketability d. Purchasing power risk
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Use spherical coordinates to evaluate the volume of the solid above the cone {eq}\phi = \pi/3 {/eq} and below the sphere {eq}\rho = 4 \cos \phi {/eq}
10\pi
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If interest rates were to decline from 8% to 5%, which of the following statements is correct? A. The price of a 10-year coupon bond with a coupon rate of 10% would decrease. B. The price of a 10-year coupon bond with a coupon rate of 10% would increase. C. The prices of both zero coupon bonds and coupon bonds with ...
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Information regarding the capital structure of Viking Corporation is as follows: Bonds Payable $2,400,000 Preferred 4% Stock, $100 par 1,500,000 Common Stock, $5 par 3,000,000 The before-tax cost of each component of the capital structure is as follows: Cost of debt 5% Cost of preferred stock 10% Cost of ...
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Stout Furniture purchased a corner lot in Pittsburgh five years ago at a cost of $1,040,000. The lot was recently appraised at $1,251,000. At the time of the purchase, the company spent $540,000 to grade the lot and another $120,000 to pave the lot for commuter parking. The company now wants to build a new retail store...
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Write the complete reaction for the titration of HCl with NaOH and calculate the pH of the solution at the following points: a. Initial pH b. After addition of 1.0 mL of NaOH c. After addition of 3.0 mL of NaOH d. At the equivalence point HCl = 65.0 mL NaOH = 0.10 M Complete pH reaction: ___________ Initial pH ...
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Suppose the own-price elasticity of market demand for retail gasoline is -0.9, the Rothschild index is 0.3, and a typical gasoline retailer enjoys sales of $2,350,000 annually. What is the price elasticity of demand for a representative gasoline retailer's product?
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Evaluate the given integral: {eq}\int e^{x + e^x} \, \mathrm{d}x{/eq}
{e^{{e^x}}} + C
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How to prove that $2^{n^2}$ is $O(2^{n^2})$?
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One class has twice as many students as another class. The first class has 3 fewer than 20 students. The total number of students in both classes is: a. 54 students b. 45 students c. 42 students d. 41 students
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Problem 8.23 Assume a 365-day year. The DSO for Kohler, Inc. is 53 days, while the average collection period for Paulson Companies is 42 days. Both firms are in the same industry. The average sale amount for Kohler is $8 million, and the average sales amount for Paulson is $2.4 million. What are the average daily sal...
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The following summary data are taken from the balance sheets of Gates Inc. at the end of each of the first two years of operation: 2011 2010 Change Total assets $790,000 $580,000 $210,000 Total investments 40,000 50,000 (10,000) Total pr...
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How long will you wait from now to receive $324,000, given that you expect to receive $39,000 in two years and invest it at 10% per year?
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Albertville has a direct labor standard of {eq}2 {/eq} hours per unit of output. Each employee has a standard wage rate of {eq}\$22.50 {/eq} per hour. During July, Albertville paid {eq}\$189,500 {/eq} to employees for 8,890 hours worked. {eq}4,700 {/eq} units were produced during July. What is the direct labor rate...
c
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Two fair dice are rolled. What is the expected number of 6's?
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Find the value of b from the following equation: {eq}PV = 50(1+0.08)^3 + 2b(1+0.08)^2 + 225(1+0.08) + 200 = 1000{/eq}
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Which of the following statements is true? a. A competitive firm will maximize its profit by producing the quantity of output at which marginal revenue equals marginal cost. b. A firm that incurs a loss in the short run should always shut down. c. At the level of output at which marginal revenue equals marginal cost...
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A deferred tax asset or liability should be recognized when there is: A) A transaction that has changed the future tax liability of the entity, and B) A law or regulation that allows the tax benefit or obligation to be carried forward. C) A transaction that has changed the future tax liability of the entity, or D) ...
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Your firm is financed 75% by equity and 25% by debt. Your pre-tax cost of debt is 8% and your tax rate is 30%. Your cost of equity is 15%. You now want to change your capital structure to have equal amounts of debt and equity financing. Required: What is your new cost of equity after the change in capital structure?...
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Clemmens Company applies overhead based on direct labor costs. Estimated overhead and direct labor costs for the year were $115,500 and $124,600, respectively. During the year, the actual overhead was $107,000 and the actual direct labor cost was $116,000. The entry to close the over- or underapplied overhead at year-e...
b
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Let $h : \mathbb{R}^2 \to \mathbb{R}$ be continuous at $(0, 0)$. Let $f : \mathbb{R}^2 \to \mathbb{R}$ be defined by $f(x, y) = \frac{xh(x, y)}{(x^2 + y^2)^{3/2}}$ if $(x, y) \ne (0, 0)$, and $f(0, 0) = 0$. Is $f$ continuous at $(0, 0)$?
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The Timberline firm expects a total cash need of 15,325 over the next 3 months. They have a beginning cash balance of 2,325, and cash is replenished when it hits zero. The fixed cost of selling securities to replenish cash balances is $5.25. The interest rate on marketable securities is 6% per annum. There is a constan...
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The process of moving water between supply and demand using gravity is referred to as a. direct delivery. b. pressure delivery. c. pumped storage. d. natural draft.
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Find the smallest number of terms of the series $$\sum_{n = 1}^\infty \frac{(-1)^{n-1}}{(2n+1)!}$$ to ensure the absolute error is less than $10^{-4}$. How do I apply the Alternating Series Remainder theorem to this series?
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The point 0 has a distance of 0 from every point of T, so 0 is in T*. The point 1 has a distance of at most 1/2 from every point of T, so 1 is in T*. The point 1/2 has a distance of 0 from the point 1/2 in T, so 1/2 is in T*. If $x \in T^*$ with $x < 1/2$, then $x + (1-x)$ is in T (by the theorem) so $x + (1-x)$ is in ...
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Upon setting a = e = 2.718281828.., how do you prove that #e_(cf) ( 0.1; 1 ) = 1.880789470#, nearly, where #a_(cf) (x;b) = a^(x+b/(a^(x+b/a^(x +...)))), a > 0#?
1.880789470
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Use the three-term Taylor method to obtain an approximation for {eq}y(0.3){/eq}. Show all values of {eq}x_n{/eq} and {eq}y_n{/eq} used and round to four decimal places as appropriate, given: {eq}\frac{dy}{dx}= x - y{/eq} , {eq}y(0)= 2{/eq} , {eq}h= 0.1{/eq}
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A source of sound of frequency 500 Hz is moving towards a stationary observer with a velocity of 30 m/s. If the speed of sound is 343 m/s, find the frequency of sound heard by the observer.
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Gamma function is defined as $$\Gamma (z)= \int_{0}^{\infty} t^{z-1}e^{-t} dt $$ by the complex plane contour integration method (summing all residues), we can get $\Gamma (z) = 2\pi i \sum Res(z)$ where sum is taken over all poles. Please show me how to take the sum over all poles.
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Is this a one- or two-tailed test? a. One-tailed test b. Two-tailed test
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Find the following limit or explain why it does not exist {eq}\lim_{(x,y,z) \to (1,1,1)}\frac{x^2 + y^2 + z^2 - 3}{(x - 1)^2 + (y - 1)^2 + (z - 1)^2}
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Buy-Rite Pharmacy has purchased a small auto for delivering prescriptions. The auto was purchased for $25,000 and will have a 6-year useful life and a $5,400 salvage value. Delivering prescriptions (which the pharmacy has never done before) should increase gross revenues by at least $33,400 per year. The cost of these ...
4.46 years
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Find the indicated probability using the normal distribution: P(-1.68<z<0.86)
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A C corporation earns $50,000 before taxes in a year. The corporation has $4,000 of dividend income and $2,000 of interest income. The corporate tax rate on the ordinary income is 15%, and the tax rates on the preferred and ordinary dividends are 5% and 15%, respectively. The interest income is taxed at 10%. Partners ...
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You are evaluating the operating performance of three managers. They took the following actions: Mr. X decreased the credit terms to customers and recorded a huge increase in sales. After a month, he found the company accounts receivable days' sales in account increased. Mr. Y controlled his inventory costs by using ...
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The coefficient of variation is used to compare the standard deviation to the mean of different data sets and standard deviations of the different sets, which have different units of measure, when comparing two or more data sets, especially when the means differ significantly. Calculate the coefficient of variation for...
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In 2012, Vander company had a beginning inventory of $36,000 and an ending inventory of $47,000. Sales were $557,000 and operating expenses were $428,000. Assuming a 25% tax rate, what was the firm's net income for 2012?
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A force {eq}\vec F = \vec v \times \vec A {/eq} is applied on a particle of mass {eq}m {/eq} in addition to the force of gravity, where {eq}\vec A {/eq} is a constant vector in the horizontal direction and {eq}\vec v {/eq} is the velocity vector. Find the minimum speed with which the particle must be projected so t...
mg/A
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What do you get when you try to simplify $\displaystyle \lim_{x \to \infty} \frac{x(1-x^3)}{-x(x^2+1)}$?
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Under perfect competition, which of the following are the same (equal) at all levels of output? a. Price and marginal cost b. Price and marginal revenue c. Marginal cost and marginal revenue d. All of the above answers are correct
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Co. has 21,750 shares of 6%, $50 par value, cumulative preferred stock and 50,000 shares of $5 par value common stock issued and outstanding. Dividends have not been paid for the past two years. This year, a $310,000 dividend will be paid. What is the total amount of dividends to be paid to preferred and common, resp...
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The most likely cost driver of direct labor costs is the a) number of parts within the product. b) number of miles driven. c) number of products manufactured. d) number of production hours.
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Given the following information, what is the missing value for the return for Large Cap Blues at 18.00 percent? Period Small Co. Mid Caps Large Cap Blues Value Weighted 1 15.00% 12.50% 18.00% 15.17% 2 9.00 8.50 -0.70 6.63 3 2.00 2.25 17.00 8.53 4 -6.00 4.00 1.00 -1.45 5 18.00 15.00 18.00 15....
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Assume that interest rate parity holds. U.S. interest rate is 13% and British interest rate is 10%. The forward rate on $ exhibits a _____ of _____ percent. A. premium; 2.73% B. discount; 2.65% C. discount; 2.73% D. premium; 2.65%
B
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Find the inverse Laplace transform of the function {eq}\frac{4}{s - 5} {/eq}.
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What will be the output of the program ? #include<stdio.h> #include<stdlib.h> int main() { FILE * pfile; pfile = fopen("hello.c", "r"); if (pfile == NULL) { perror("\nError: "); exit(EXIT_FAILURE); } else printf("\n%s ", pfile); exit(0); } Options are: A) Error: fopen failed. B) hello.c C) An empty line D) No outpu...
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Which of the following is included as a subdiscipline by the Association for Psychological Science but not the American Psychological Association? a. epidemiology b. pharmacology c. child abuse d. forensic psychology
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During 2012, Taylor Corporation, which began business on January 2, 2012, paid salaries of $10,000. By year-end, the company had advanced salaries of $500 to an employee, who was on salary leave during December. What amount should Taylor Corporation report as salaries expense and salaries payable in its December 31, 20...
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The following table displays the payoffs to three production strategies for Boeing and Airbus, who are the only producers of commercial planes. Airbus Strategy Airbus Strategy Airbus Strategy Large Planes Small Planes Do Not Produce Boeing's Strategy Large Planes A(10, -10) D(135, 35) G(150, 0) Boeing's St...
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What is the derivative of x^x?
x^x(ln(x)+1)
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Consider a titration of 25.00 mL of 0.150 M {eq}CH_3CO_2H {/eq} with 0.150 M {eq}NaOH {/eq}. The reaction can be represented as {eq}CH_3CO_2H + OH^- \to CH_3CO_2^- + H_2O {/eq}. What is the pH after 20.00 mL of {eq}NaOH {/eq} is added?
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The makers of a new wildlife formula for elephants have determined that a $20 million investment in land, research, and development will be required to produce the formula. If the formula is successful, annual revenues will be $40 million per year for 10 years, after which time the patent will expire. Annual profits f...
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Consider the relationship between Leon Corporation's revenue and the number of employees it has. If the following points are on the demand curve for Leon Corporation's output, 40 50 60 70 80 90 Quantity 3,500 3,000 2,500 2,000 1,500 1,000 ...
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The mean and standard deviation of a population being sampled are 64 and 6, respectively. If the sample size is 50, what is the standard error of the mean?
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Explain the implications for economic profit of entry-deterring strategies based on price increases, capacity expansion, R&D, and changes in advertising spending.
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Let X have an exponential distribution with a mean of {eq}\theta{/eq} = 20. Find P(X < 18).
0.5934
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Assume that you are considering purchasing a 20-year corporate bond with an annual coupon payment of 10 percent. The bond has a current price of $900 and a par value of $1,000. What is the rate of return you will earn if you buy this bond and hold it until maturity? (Assume no change in flotation costs.) A. Less than ...
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Suppose workers become pessimistic about their future employment, which causes them to save more and spend less. If the economy is in the Keynesian range of the aggregate supply curve, then: A. real GDP will fall and the price level will rise. B. real GDP will rise and the price level will fall. C. only the real GDP...
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There is a school of thought in the business world that argues that a _____ orientation is critical to an organization's survival and long-term success. a. content-driven change b. organization development c. process-driven change d. task alignment
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Logan Company reported the following information for the current year. The indirect manufacturing labor costs were for the machinists and assembly workers. Assume that the indirect materials for the current year are $40,000. Direct materials $ 210,000 Direct manufacturing labor costs $ 400,000 Manufacturing overhead ...
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A two-year discount bond with face value $1,000 and price $950 has a yield of: a. 4.9% b. 5% c. 5.3% d. None of the above
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Which of the following is not a correct comparison between a contractionary fiscal policy in the basic aggregate demand and aggregate supply model and in the dynamic aggregate demand and aggregate supply model? A.In the dynamic model, contractionary policy would be used when demand grows too slowly; in the basic model...
E
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Mercury Co. acquired 100% of the common stock of Roald Co. on January 10, 2014. During 2014, Mercury sold goods to Roald for $2,300,000 that cost Mercury $1,840,000. Roald still owned 60% of the goods at the end of the year. Cost of goods sold was $10,400,000 for Mercury and $6,000,000 for Roald. What was consolidated ...
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Bob and Sally Smith have three children: Joe, Betsey, and Ernie. They file a joint return for 2014. They live in Yarmouth, Maine, and each worked all year. They received wages of $30,000 and $35,000, respectively. Bob was also separated from Sally due to an irreconcilable difference at the end of the year and his separ...
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When using the NPV method, increasing the following component(s) of a project's net cash flow will _____ the project's NPV: {eq}I. \space the \space annual \space free \space cash \space flow; \space II. \space the \space salvage \space value; \space III. \space the \space discount \space rate {/eq}. A. I only B. I ...
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Winston Inc. is trying to determine the effect of its inventory turnover ratio and days sales outstanding on its cash conversion cycle. Winston's 2013 sales (all on credit) were $172,000, and its cost of goods sold was 75% of sales. It turned over its inventory 11.49 times during the year. Its receivables balance at th...
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The government can increase aggregate demand by _____ government spending, _____ income taxes, or _____ consumption. a. increasing; increasing; decreasing b. increasing; decreasing; increasing c. decreasing; decreasing; increasing d. decreasing; increasing; decreasing
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Springfield Nuclear Energy Inc. bonds are currently trading at $1023.24. The bonds have a face value of $1000, a coupon rate of 9% with coupons paid annually, and they mature in 20 years. What is the yield to maturity of the bonds?
8.75%
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Deshler Company began the year with $50,000 in inventory. During the year, $1,500,000 was purchased on account with credit terms of 1/15, n/45. All purchases were made on the account. Purchases were all made f.o.b. shipping point. They paid freight charges of $50,000. Purchases were all subject to discounts. The cost ...
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Assuming no change in quantity, a change in the cost of the merchandise will have what effect on the net income of the period in which the change takes place? a. Increase in the cost of merchandise will decrease net income. b. Increase in the cost of merchandise will increase net income. c. Change in the cost of mer...
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A patient is given an IV containing 5% dextrose solution. If the infusion rate is 80 ml/hour, how much glucose (in grams) does the patient receive in the first 2 hours?
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On average, 73% of American households have cable television. Suppose a random sample of 100 American households is selected. What is the probability that 72% or more of the sampled households have cable television?
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I am having a hard time seeing how to take the derivatives with respect to $s$ in order to get the other three equations. Any help would be appreciated.
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Davis, Inc., currently has an EPS of $1.89 and an earnings growth rate of 6 percent. The benchmark PE ratio is 20. What is the target share price in 6 years?
$53.6
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The minimum uncertainty {eq}\Delta{y} {/eq} in the position {eq}y {/eq} of a particle is equal to 4 times its de Broglie wavelength. Determine the minimum uncertainty in the speed of the particle, where this minimum uncertainty {eq}\Delta{v_{y}} {/eq} is expressed as a percentage of the particle's speed {eq}v_{y} {...
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In an experiment on the speed of sound in a gas, the speed was measured to be 354 {eq}\frac{m}{s} {/eq} with an uncertainty of 2%. The temperature of the gas was held constant at 25{eq}^{\circ} {/eq}C. Given {eq}v = \sqrt{\frac{\gamma R T}{M}} {/eq}, calculate the percentage uncertainty in the value of M (molecular ...
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Over 40 years of research at the University of Washington has shown that regular coffee drinkers were 20% less likely to get Alzheimer's disease than non-coffee drinkers. If the number of initial people with Alzheimer's disease is 50,000, and the number of people who drink coffee is 70,000, and the number of coffee dri...
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