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I'm trying to find the limit: $$L= \lim_{n \to \infty} \left(\sum\limits_{j=0}^n {2n \choose j}(1+p)^j\right)^\frac{1}{2n}$$ We know that: $$\left( \sum\limits_{j=0}^{2n} {2n \choose j}(1+p)^j\right)^\frac{1}{2n}=2+p$$ I suspect: $$\lim_{n \to \infty}\left( \sum\limits_{j=n+1}^{2n} {2n \choose j}(1+p)^j\right)^\frac{1}...
2+p
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The Orville Company, which has a tax rate of 34%, has the following characteristics: Accounting and Financial PoliciesCash Flow StatementBased on budget data Operating income (EBIT)$500,000 Interest expense200,000 Taxes77,000 Net income$223,000 After-tax cost of debt10% Cost of equity capital12% The firm's cost of eq...
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Pete's Pest Service provided $200,000 of services during 2013. The firm received $135,000 of cash in advance for those services. The other $65,000 was not received until 2014. In 2013, the accountant for the company should: A. credit Service Revenue for $200,000. B. credit Service Revenue for $135,000. C. credit Ser...
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Which of the following is true of a corporation with 200,000 shares of stock outstanding? a. It must sell its 200,000 shares of stock within one year. b. It must have 200,000 shareholders. c. It can have more than 200,000 shareholders. d. It can issue more than 200,000 shares in the future.
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A company has a manufacturing plant that produces two types of air conditioners: "budget" and "deluxe". The budget model requires $$350 of materials per unit and 5 labor hours, while the deluxe model requires $$420 of materials per unit and 4 labor hours. The profits per unit are $80 for the budget model and $130 for t...
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Suppose you deposit $500 today in an account paying 5 percent interest. You deposit an additional $500 at the end of each year for 10 years. How much will you have at the end of 10 years? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.)
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Which of the following is not a cause or result of information overload or standard overload? a. Increased compliance costs. b. Attempts to create a level playing field by requiring disclosures that provide equal access to information to everyone. c. Concerted lobbying by different interest groups that are economica...
d
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With the current account deficit, which of the following statements is correct? a. the country is a net creditor in the world economy b. net foreign investment in the country is negative c. the country is investing more than it is borrowing d. the current account surplus plus the capital account surplus must equal ...
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Stock X has a beta of 1.30 and an expected return of 13.00 percent. Stock Y has a beta of .90 and an expected return of 8.00 percent. What would the risk-free rate have to be for the two stocks to be correctly priced?
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Gardner Company has the following inventory data: 1/1 Beginning inventory 21 units at $63 1/10 Purchases 69 units at $67 1/25 Purchases 49 units at $71 2/10 Sales 68 units A physical count of inventory on February 15 reveals that there are 49 units left. Assume that a perpetual inventory system is used. Determine...
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Calculate the 3-month implied repo rate on a T-Bond futures contract with a quoted price of 122.25 and settle for a T-Bond with an asked price of 97.25. Assume the cheapest-to-deliver T-Bond's conversion factor is 0.950 and that interest is at 3.12% per annum. a. 4.98% b. 3.77% c. 2.49% d. 1.85%
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Find the value of the line integral {eq}\int_c (2y - x) dx + (x + y) dy{/eq} , where C is the part of the parabola {eq}y = 1 - x^2{/eq} above the x-axis, oriented from right to left.
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Determine the covariance of X and Y, given the following joint probability mass function: xypxy(x,y) -1-11/20 -104/20 002/20 017/20 032/20 113/20 2-21/20
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Which of the following conditions represent(s) a crisis? a) The firm produces only products it wants to produce. b) The company focuses on the needs of its customers. c) The managers have the opportunity to make decisions that they believe are best for the organization. d) Productivity and profitability have decrea...
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Aine would like to create a portfolio that is equally invested in a risk-free asset and two stocks. The one stock has a beta of 1.05. What does the beta of the second stock have to be if Aine wants the portfolio risk to equal that of the overall market?
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The key step in the generation of "safe" (replication-incompetent) viral particles for gene therapy is the A. creation of site-specific mutations in viral genes. B. provision of viral genes on a Y- (psi-) DNA. C. use of a packaging cell line that is not immortalized. D. deletion of the viral reverse transcriptase g...
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What would we expect an increase in the average population age to do to the equilibrium interest rate? A. Increase the interest rate. B. Decrease the interest rate.
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Evaluate the triple integral: I = \(\displaystyle \iiint_ExydV\) Where E is bounded by the yz-plane and the half of the sphere \(\displaystyle x^2 + y^2 + z^2 = 9\) that lies to the right of the yz-plane. Use cylindrical or spherical coordinates, whichever seems more appropriate.
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Identify the related transaction assertion to the following question: Are shipping documents authorized and prepared for goods returned to vendors? A. occurrence B. completeness C. accuracy D. classification E. cutoff
A
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Inventory that has been purchased but is not held in stock and has not yet been incorporated into the product is called: a. work in process inventory. b. raw materials inventory. c. work order inventory. d. finished goods inventory.
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Why is it that any vertical line segment in the complex plane, for which the function is not analytic, can be disregarded when calculating the integral $\int_C \frac{dz}{z - 3}$ along a rectangle with sides $1, 3, 1+i$, and $3+i$, when the function is not analytic on a vertical line segment?
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A firm has a ROE of 12.2 percent and a sustainable growth rate of 5.8 percent. The company has a payout ratio of ___. (Round to 2 decimal places.)
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An ideal reheat Rankine cycle operates with a high pressure of 3 MPa, a low pressure of 10 kPa, and a turbine where the steam exits as a saturated vapor. Calculate the enthalpy of the steam as it exits the high-pressure turbine.
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A 95% confidence interval for the slope in the simple linear regression model $y=\beta_0+\beta_1 x$ is given as $(0.13,0.42)$. Which of the following are valid implications of this result? A) 95% of the data are between $0.13$ and $0.42$ B) $95%$ of the data points fall within the $95%$ confidence interval of the reg...
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The earnings of a private European firm are €5 million, and the average P/E ratio of publicly traded European firms in the same industry is 12. This firm is considering the possibility of going public in which it would issue one million shares. If the private firm has similar growth potential and other characteristics ...
B
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Assume that the weight of trout in a certain lake is normally distributed with a mean of 19.6 pounds and a standard deviation of 6. If 4 trout are randomly selected, what is the probability that the mean weight will be between 16.6 and 22.6 pounds?
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Consider the long-run equilibrium of the classical model. Which of the following statements is false? A. Wages are sticky. B. Unemployment is zero. C. Prices are sticky. D. The labor supply curve is vertical.
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Set up and evaluate the integral that gives the volume of the solid E that lies above z = 0, below z = y, inside x^2 + y^2 = 1, and outside x^2 + y^2 = 4, using cylindrical coordinates.
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In a speech to the Asia Pacific Economic Cooperation summit in Peru in November 2008, President Hu of China commented on his country's country's $586 billion fiscal stimulus plan by saying, "Instead of relying mainly on investment and export we will adopt a coordinated approach that combines consumption, investment, an...
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A company has total capital equal to $125 million. 40% of its capital is borrowed and the rest is common equity. The required return on equity is 25% and on debt is 7%. Calculate the company's cost of capital, WACC, if the tax rate is 30%.
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"Inventory to net working capital" is an example of a(n): A) leverage ratio B) liquidity ratio C) activity ratio D) asset management ratio E) profitability ratio
B
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In some region of space, the temperature is given by the expression {eq}T=2x^2+3y^2+4z^2 {/eq}. At the time t=7, a particle is at the point (3,2,1) and has velocity <6,2,4> . Find the rate of change of the temperature "percieved" by the particle at that time. That is, find {eq}\frac{dT}{dt} {/eq} for t=7.
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Last National Bank has 2 drive-in lanes. During the weekday noon hour, an average of 30 customers per hour arrive (Poisson distribution), and they are given FCFS service, requiring an average of 2.5 minutes service times. The bank wants customers to wait no more than 6 minutes on average. How many drive-in tellers are ...
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AFB stock is currently selling for $52.79. The stock's dividend yield is 4.8%, and the risk-free rate is 3%. The beta of this stock is 1.45. If the market risk premium is 8.3%, the price of this stock is expected to be _____ in one year.
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Dick Boe Enterprises, an all-equity firm, has a corporate beta coefficient of 1.5. The financial manager is evaluating a project with an expected return of 21 percent, before any risk adjustment. The risk-free rate is 10 percent, and the required rate of return on the market is 16 percent. The project being evaluated i...
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You purchase $1,000 worth of six-month US Treasury bills on the secondary market with a quoted yield per annum of 0.23%. The bills have 33 days to maturity. How much would you pay? Use actual/365-day count convention.
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$$ \lim_{(x,y)\to(0,0)} \frac{\sin( |x| + |y|) + |y|(e^x - 1)} {|x| + |y|} $$ Is the following solution correct? $ \lim_{(x,y)\to(0,0)} \frac{\sin( |x| + |y|)}{|x| + |y|} + \frac{|y|(e^x - 1)} {|x| + |y|} $ the first term, when $(x,y)\to(0,0)$, is $1$. When $x\to 0 $ we have that $(e^x - 1) \to x$. Now the limit to so...
1
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On July 31, the board of directors of Beximco Ltd declares a cash dividend of BDT. 200,000 to be paid on August 31. What is the correct journal entry for the payment of the dividend on August 31? A) Cash Bdt. 200,000 Dividend Payable Bdt. 200,000 B) Cash Bdt. 200,000 Dividends Expense Bdt. 200,000 C) Cash Bd...
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The upward slope of the aggregate demand curve suggests that, other things remaining the same, an increase in the price level leads to: a. a decrease in the quantity of output demanded. b. an increase in the quantity of output demanded. c. an increase in net exports. d. an increase in consumption expenditure.
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Which of the following is true of the relationship between beta and expected return? a) The expected return of a security is positively related to its beta. b) The expected return of a security is negatively related to its beta. c) The higher the expected return of a security, the higher its beta. d) The market por...
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The epidemiological triangle consists of _____. A. host, vector, and pathogen B. host, pathogen, and environment C. pathogen, vector, and environment D. pathogen, host, and environment
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Which of the following conditions are required for using the chi-square test for independence? A) Two samples, each with at least 10 observations. B) The expected values in each cell is sufficiently large. C) The samples must be dependent. D) The observations must be independent.
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What will be the output of the program? #include<stdio.h> #define MAN(x, y) ((x)>(y)) ? (x):(y); int main() { int i=10, j=5, k=0; k = MAN(++i, j++); printf("%d, %d, %d\n", i, j, k); return 0; } Options are: answer A 12, 6, 12; answer B 11, 5, 11; answer C 11, 5, Garbage; answer D 12, 6, Garbag...
A
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In calculating the cash flows for a project, how should interest expense included in the project's total cost? a. include it as a cash outflow in the cost of the project. b. include it as a cash inflow in the cost of the project. c. include it as a relevant cash flow if it's tax-deductible. d. ignore the interest e...
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Suppose you know the average U.S. GDP per capita (in current U.S. dollars) for several years. Which of the following, if available, would give you the best idea about the purchasing power of this average income across countries in various years? A) nominal GDP B) real GDP C) CPI D) GDP deflator E) All of these wou...
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The tangency portfolio has a unique set of characteristics, including the fact that it: a. will contain only risky assets. b. is the optimal risky portfolio. c. has the highest possible Sharpe Ratio. d. combines the risk-free asset with the asset with the highest reward-to-variability ratio.
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I need to integrate #(1+1/t)^3*1/t^2# using substitution. How do I do that?
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Assume that an investor is considering a $20,000 face value Treasury bill that matures in 180 days. If the current asking price is $19,650, what is the annual percentage yield the investor will earn by buying this T-bill?
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Under variable costing, which of the following is not expensed in its entirety in the period in which it is incurred? a. Fixed manufacturing overhead cost. b. Fixed selling and administrative expense. c. Variable selling and administrative expense. d. Variable manufacturing overhead cost.
a
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How does the money multiplier change when the Federal Reserve conducts discount window lending to a depository institution that has a 0% excess reserve ratio? a. The money multiplier is decreased. b. The money multiplier is increased. c. The money multiplier is unchanged. d. None of the above.
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Given the following data: Net cash flow = -34,000. Cumulative cash flow at the beginning of the period = 10,000. Percent complete = 15%. When using the modified accelerated recovery method, the cash flow to be assigned to this period is _____. a. $2,700 b. $2,850 c. $5,100 d. $6,800
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The minimum risk-adjusted net present value of an activity is $1,000 and the maximum risk-adjusted net present value is $5,000. Based on this information, the coefficient of variation for the activity is: a. Between 0 and 0.33. b. Between 0.33 and 0.50. c. Between 0.50 and 1.00. d. Between 1.00 and 1.33.
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All of the following are considered a product cost except: a. direct labor b. direct material c. marketing d. factory overhead
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Clopack Company manufactures one product that goes through one processing department called Mixing. All raw materials are introduced at the start of work in the Mixing Department. The company uses the weighted-average method to account for units and costs. Its work in process T-account for the Mixing Department for Jun...
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Find the point on the plane z = 2x + 5y + 1 closest to the point P = (1, 0, 0).
(4/5, -1/2, 1/10)
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A company is considering two mutually exclusive alternatives: Alternative X: Initial cost$80,000 Uniform annual benefits$18,000 Life in years6 Alternative Y: Initial cost$50,000 Uniform annual benefits$14,000 Life in years6 Assume that the firm's MARR is 12%. After six years, Alternative X can be sold for a salvag...
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You have a 250.0 mL sample of 1.00 M acetic acid {eq}(CH_3COOH) {/eq}. You add 0.100 moles of solid sodium hydroxide to this solution. What is the pH of the resulting solution? (Ka = 1.8 x 10{eq}^{-5} {/eq})
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Use integration by substitution to find the area under the curve {eq}y = 2x - 2x^2{/eq} between the points where {eq}x = \frac{1}{2}{/eq} and {eq}x = \frac{3}{2}{/eq}.
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You have determined the following about the current situation in the Carlisle financial statement reporting group: The total earnings for 2015 is $5,000,000. There are 3,000,000 shares of common stock outstanding. 500,000 shares of common stock are owned by Carlisle. 10,000 shares of common stock are owned by the p...
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How can I prove the following relation: $\frac{2G \rho \Omega ^2}{3}$ $=$ $\frac{\langle \omega ^2\rangle_{\text{rot}}}{N}-\frac{\langle \omega ^2\rangle_{\text{vib}}}{N}$? Here, $\Omega$ is the frequency of rotation, $\rho$ is the density, $\langle \omega ^2\rangle_{\text{rot}}$ is the average of the square of the rot...
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Find the area of the part of the surface z = 3 + 2x + 2y that lies above the triangle with vertices (4, 0), (1, 1), (2, 2).
6
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Sonny's Hot Dog Stand has a monthly fixed cost of $6,700 and a variable cost of $4.50 per hot dog. If his hot dogs sell for $6.00 each, how many hot dogs does he need to sell in a month in order to break even?
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If the mean of a distribution is 20 and the standard deviation is 3, what is the z-value of 25? a. 25 b. 16 c. 2 d. 1.67 e. Cannot be determined.
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Goods supply refers to the relation between: A. the total quantity of goods supplied and the inputs used in the production of those goods. B. goods price and the inputs used in the production of those goods. C. input costs and the quantity of goods supplied. D. the total quantity of goods supplied and the goods pri...
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The management of Domanico Corporation is investigating an investment in a radio frequency identification (RFID) system that would have a useful life of 4 years. The company uses a discount rate of 14% in its capital budgeting. Good estimates are available for the initial investment and the annual cash operating outflo...
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How many permutations of 6 numbers taken 3 at a time can be made from 12 numbers, given the constraints that the first and second numbers must be even and different from each other, and the third number must be odd?
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The following are correct descriptions for special cases of linear demand, except A. A linear demand has price elasticities that range from zero to positive infinity. B. The linear demand has elasticity equal to one at the point where the marginal revenue equals one. C. For a linear demand, revenue is maximized when...
B
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Assume that manufacturing overhead consists of direct materials cost and direct labor cost. Variable manufacturing overhead consists of $5 in direct material cost and $3 in direct labor cost. Fixed manufacturing overhead consists of $3 in direct materials cost and $5 in direct labor cost. 60% of direct materials cost a...
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Assume the law of one price holds and the exchange rate is 1.0 pound = U.S. $2.00. What is the price of a good in the United States if the pound price is 5,000.0? a. $5000.0 b. $2000.0 c. $10,000.0 d. $1000.0
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Which of the following statements is true? a. The union-as-collective-voice view of the labor union holds that labor unions have a negative impact on productivity and efficiency. b. The traditional view of the labor union is that the union acts as a collective voice for workers and probably leads to lower quit rate...
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When I started my company, I purchased the following merchandise: Purchase A 100 units for $800 Purchase B 200 units for $1,800 Purchase C 200 units for $2,000 My inventory at the end of the period was 200 units; the cost of sales for the period was $2,500. What inventory method did I use? A. FIFO B. LIFO C....
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Hasel Corporation is a wholesaler that sells a single product. Management has provided the following cost data for two levels of monthly sales volume. The company sells the product for $243.40 per unit. Sales volume (units) 33,000 Cost of sales $502,500 Selling and administrative costs $530,500 The best estimate of t...
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The advertising executive wants to estimate the mean weekly amount of time consumers spend watching traditional television daily. Based on previous studies, the standard deviation is assuming to be 20 minutes. The executive wants to estimate, with 99% confidence, the mean weekly amount of time to within ± 55 minutes. W...
107
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As a consequence of increases in real GDP, which of the following is true? a. investment spending increases, the price level rises and the demand for money rises. b. investment spending decreases, the price level falls and the demand for money falls. c. investment spending decreases, the price level rises and the de...
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Avanca Fitness Center is considering an investment in some additional weight training equipment. The equipment has an estimated useful life of 10 years with no salvage value at the end of 10 years. Ataxia's internal rate of return on this equipment is 14%. Ataxia's discount rate is also 14%. The present value factor o...
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What might explain why the United States experienced a shift from K to L due to an increase in capital stock? A) economies of scale B) labor-augmenting technological change C) economies of scope D) increasing returns to scale
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What is the probability that the mean price for a sample of 16 gas stations is less than $2.50, given that the cost of unleaded gasoline in a city follows a normal distribution with a mean of $2.55 and a standard deviation of $0.11?
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Consider the following two mutually exclusive projects: Project Cash flows Discount Rate A ($ 2541, $ 997, $ 1105, $ 876) 10 % B ($ 1180, $ 438, $ 815, $ 1033) 10 % Calculate the crossover rate between the two projects. State your answer in decimal format so that if t...
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Given a real valued matrix $A$ that satisfies $AA^{\top} = I$ and $\det(A)<0$, calculate $\det(A + I)$.
0
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Is $$\lim_{n \to \infty}\log(1 + x^{n}) = \log(2)$$, where $\log(x)$ is the natural logarithm, correct for values of $x$ in the range $0 < x < 1$?
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On a (1) benefit-cost (BC) graph, to the right of the point where the BC curve reaches the vertical axis, the curve slopes down because the opportunity cost of _____. A) private cost is higher than the social cost B) social cost is higher than the private cost C) private benefit is higher than the social benefit D)...
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Sgt. Pepper Company produces two models, PM and JL, using George, a new manufacturing process. Information regarding PM and JL is summarized in the following table: PM JL Price per unit $ 80 $ 60 Amount of George processing time required per unit 6 hours 2 hours George can only be used for 120 hours per wee...
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When a weak acid is titrated with a strong base, the pH at the halfway point equals the pKa of the weak acid. Explain why this is the case.
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Toyota customers have a wide range of preferences. Some prefer the fuel economy of a hybrid (Prius), some prefer a family van (Odyssey), and others may prefer a large SUV (Highlander). This is an example of _____. a. horizontal differentiation b. segmentation c. vertical differentiation d. mass customization e. di...
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Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function: {eq}\displaystyle h(x) = \int_1^{x^2} \sqrt{3 + r^3}\ dr {/eq}
2x\sqrt{3 + x^6}
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Assuming a linear demand function, an increase in price from $5 to $7 results in a decrease in total revenue from $50 to $32. This indicates that the: a. demand is perfectly elastic. b. demand is relatively inelastic. c. demand is relatively elastic. d. demand has shifted to the left.
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In 2013 the U.S. Nonfarm Payroll Employment rose by 145,000 jobs. The unemployment rate was 7.2%. Over the same period the real wage decreased by about 1.2% per hour. Based on this information, we can conclude that: a. The demand for labor is relatively inelastic. b. The demand for labor is relatively elastic. c. Th...
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Your bank account pays interest with a nominal rate of 8%. Your bank account pays interest with a nominal rate of 8% compounded daily. Your bank account pays interest with a nominal rate of 8% compounded monthly. What is the rate of return on your investment after one year?
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Let $I$ be an ideal in the ring of integers $\mathbb{Z}$ and $a,b\in \mathbb{Z}$. How can I show that $(I+a)(I+b)=I(I+a+b)$? In particular, if $I=(6)$, $(I+a)(I+b)=(6)\left((6)+a\right)\left((6)+b\right)$. I don't know how to proceed further.
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What is the probability that 4 or fewer people will attend, given that the number of people who attend a fortune-teller's sessions follows a Poisson distribution with an average of 4.7 people per day, and the fortune-teller is open every day of the year?
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Given the following data, calculate the cost of equity: a. The 12-month government treasury bill rate is 10% b. The average return in the stock market for the last 12 months has been 18% c. The beta value is 1.1
18.8%
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Which one of the following is not an assumption of the perfect competition model? A) firms produce a homogenous product B) buyers and sellers have perfect information C) entry into and exit from the industry is possible D) there are significant economies of scale in the industry E) none of the above
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The cost function for a product is {eq}C(x) = 0.4x^2 + 200x + 150{/eq}. Find average cost over {eq}[0, 1000]{/eq}.
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Ratios that measure a firm's liquidity and financial flexibility are: a. profit margin and return on assets. b. quick ratio and debt ratio. c. price/earnings ratio and times interest earned. d. price/earnings ratio and return on assets. e. debt ratio and price/earnings ratio.
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A company issues $10,000,000, 7.8%, 20-year bonds to yield 8% on January 1, 2014. Interest is paid on June 30 and December 31. The proceeds from the bonds are $9,802,072. Using effective-interest amortization, how much interest expense will be recognized in 2014? a. $390,000 b. $780,000 c. $784,249 d. $784,166
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If a country experiences a large current account deficit, then the country's: A) currency is rising in value. B) currency is falling in value. C) currency is remaining at a constant value. D) future ability to purchase imports is in question. E) future ability to purchase exports is in question.
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Compute {eq}\lim_{t \to 0} t \cot (t) {/eq} or show it does not exist.
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Assuming U.S. demand for Mexican pesos is perfectly elastic, the fact that the value of this foreign exchange market is $10 billion per day and that the U.S. balance of payments surplus on the current account is $20 billion per day implies that a. equilibrium in the foreign exchange market requires that the U.S. suppl...
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Consider a population of college professors who have an average IQ of 110 with a standard deviation of 10. If we take repeated random samples of size 20 from this population, which of the following statements is/are correct? a. The sample size is large enough that we can apply the Central Limit Theorem, so the distrib...
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In year 0, the ABC partnership was formed by investing cash of $30,000 by partner A and $35,000 by partner B. During year 0, the business earned cash of $40,000 and each partner withdrew $20,000 in cash. In addition, the partnership incurred a loss of $15,000 during year 0, the entire result of its operations. Assumin...
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