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Consider the curve given by {eq}y^2 = 3+x{/eq} for {eq}-3\le x \le 0{/eq}. Find the length of this curve by integrating the arc length.
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What is the net present value of the following cash flow at a discount rate of 6%? Year Cash Flow 0 -$27,000 1 11,000 2 14,000 3 1,000 4 1,000 a. $13.82 b. $46.92 c. $79.02 d. $16.36 e. $84.19
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How is $$\lim_{n \to \infty}2\left(1-\frac {1}{n+1}\right)^n$$ equal to the following limit $$\lim_{n \to \infty}2e^{n\ln\left(1-\frac {1}{n+1}\right)}$$ ?
$2e^{-1}$
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Kawasaki Corp. has the opportunity to invest in one of two mutually exclusive machines that will produce cash inflows over the next five years. Machine A has an up-front cost of $1,000 with net cash inflows of $320 at the end of the first year, $370 at the end of the second year, and $420 at the end of the third year a...
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Thermoelectric generators attached to the surface of the sun convert a significant fraction of the radiant energy striking the surface into electricity. Consider a 1-m{eq}\displaystyle^2 {/eq} thermoelectric generator at the earth's surface that has a conversion efficiency of 5 percent. What is the electric power (in ...
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What is the rotational inertia of a uniform solid sphere about its diameter? A. MR B. (2/5) MR^2 C. (1/2) MR^2 D. (1/4) MR^2
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After the district school board completes its review of the district-wide test score data and decides to implement the changes proposed by the school principals, which of the following actions should the board undertake during the board meeting? A) Issue a press release announcing the test score results. B) Adopt a f...
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The beta for the overall stock market is equal to _____. A) 0. B) 1. C) -1. D) 2. E) 1/2.
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Humes Corporation makes a range of products. The company's predetermined overhead rate is $22 per direct labor-hour, which was calculated using the following budgeted data: Variable manufacturing overhead$68,000 Fixed manufacturing overhead$306,000 Direct labor-hours17,000 Management is considering a special order fo...
7040
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Suppose the Fed decided to purchase $100 billion worth of government securities in the open market which are directly deposited into the banking system. What impact would this action have on the economy? (a) How will M1 be affected initially? A. Decrease by $100 billion B. No initial change to M1 C. Not enough inf...
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Global markets may generally be categorized as one of the following market types, except a) fast-paced market b) relationship-based markets c) established markets d) developing market
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Suppose a firm raises $28 million dollars by issuing debt at a cost of 5.6%, raises $14 million by issuing common stock at a cost of 8.6% and raises an additional $9 million by issuing preferred stock at a cost of 12%. What is the average cost of capital per dollar raised? (Round your answer to 2 decimal places.)
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Find the limit: $$\lim_{(x,y) \to(0,0)} \frac{\sin |x|+ \sin |y|}{|x|+|y|}$$
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Which of the following countries has an economy with the highest savings rate? a. Thailand b. Hungary c. Japan d. United States
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Suppose workers and firms expect the overall price level to increase by 5%. Given this information, we would expect that a. the nominal wage will increase by exactly 5%. b. the nominal wage will increase by less than 5%. c. the real wage will increase by less than 5%. d. the real wage will increase by 5%. e. the n...
a
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A manufacturer of premium drummers orders ceramic drums at $25 per drum and sells them at $35 per drum. A new vendor is willing to sell the manufacturer 10,000 drums for only $17 each. If the manufacturer were to accept this price, the manufacturer would have to pay an additional $3 per drum for shipping. The manufactu...
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Suppose that the price level rises and real GDP declines. This could be the result of a decrease in exports caused by _____ and an increase in imports caused by _____. A. an appreciation of the dollar; a contraction of the money supply B. an increase in taxes; a reduction in government spending C. a contraction of ...
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$(m+n)\cdot{(p\wedge q)}\Rightarrow(m\Rightarrow p)\wedge(m\Rightarrow q)$ Show that the argument is correct, using the laws and definitions of logic. $(m+n)\cdot{(p\wedge q)}\Rightarrow(m\Rightarrow p)\wedge(m\Rightarrow q)$ $(m+n)\cdot{(p\wedge q)}\Rightarrow(\overline{m}\vee p)\wedge(\overline{m}\vee q)$ $(m+n)\cdo...
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Let $X$ be an exponentially distributed random variable with a mean of $1$. What is the probability that $X$ is in the interval $(n, n+1)$ for some $n \in \mathbb{Z}$?
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What will be the output of the program? #include<stdio.h> int main() { long double x = 35L; printf("%Lf\n", x); return 0; }
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An electric field in a given region of space is given by E={eq}2.5 \times 2i {/eq} (in N/C). What is the magnitude of the potential difference between two points x=0 m and x=7.8 m, i.e. |V(x=7.8m)-V(x=0 m )|?
39V
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I have 1200 pages to read in 3 days. My reading time is elastic. I am always willing to spend more time reading if the marginal value of spending that time is positive (and enough money is available). I value the 1200 pages at $4 each. The market price for reading a page is $0.5. Which statement is true? A) I will spe...
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Given the data $$\left(1,5\right),\left(3,7\right),\left(4,9\right),\left(6,13\right),\left(8,15\right)$$and given the equation $\hat{y}=2x+5$, what is the value of SSE (sum of squared errors)?
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The price p (dollars per unit) and the weekly sales x (units) of a certain commodity satisfy the demand equation 4p^3+x^2=33744. Determine the rate at which sales are changing at a time when x=96, p=12, and the price is falling at the rate of $0.14 per week.
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A perfectly competitive firm maximizes profit by producing the quantity of output at which: a) price is equal to marginal cost. b) marginal revenue is equal to zero. c) total cost is equal to marginal cost. d) price is equal to average cost.
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1 Now we know that the demand curve a comes from how much the consumer likes a good only b comes from the preferences and budget of the consumer only c comes from the preferences of the consumer and the prices of the goods only d comes from the affordability and budget of the consumer only
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Let Z be a standard normal random variable. Determine the value of c such that P(-0.89 ≤ Z ≤ c) = 0.7832.
1.88
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Choose the most correct answer and explain your reasoning. A portfolio manager plans to use a Treasury bond futures contract to hedge a bond portfolio over the next three months. The portfolio is worth $100 million and will have a duration of 4.0 years in three months. The futures price is 122, and each futures contra...
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What is the starting point for calculating cash flow from operating activities? a. cash receipts from sales b. net income c. cash payments for wages d. changes in current assets and current liabilities
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If I have a position vector $\vec r = x \hat i + y \hat j + z \hat k$ and the operator $\vec \nabla = \hat i \frac {\partial} {\partial x} + \hat j \frac {\partial} {\partial y} + \hat k \frac {\partial} {\partial z}$, what is the result of the operation $\vec \nabla \cdot \vec r$? It is supposed to be $3$ because I am...
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The human population of a small town in central Texas began in 2010 with 250 people and increased to 320 by 2015. Assume the town's population grows continuously at a rate proportional to its size. Use the given information to write the differential equation that models the population, then solve this equation for the ...
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As of the end of 2012, Hahn Corporation had outstanding 500,000 shares of $10 par value common stock and 50,000 shares of 8%, $100 par value cumulative preferred stock. No dividends were declared on either the preferred or common stock in 2013 or 2014. What is the total number of shares that should be used to compute ...
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If a percentage decrease in money supply is followed by a proportional percentage decrease in prices and output, this means that: A. the velocity of money is constant. B. the economy is in a recession. C. the velocity of money has fallen. D. real GDP is constant. E. the economy is not at maximum capacity.
A
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XYZ Company sells radios for $40 each. To produce 1,000 radios per month, variable cost of $25 per unit must be incurred. Each unit of the radios requires 3 direct labor hours, at a cost of $12 per hour. Direct materials cost $10 per unit. Fixed overhead is allocated based on total direct labor hours at a rate of $4 pe...
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Which of the following actions might result in an increase in the firm's current ratio? A) collecting an account receivable B) using cash to pay off some notes payable C) selling inventory at cost D) obtaining a short-term bank loan
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If the Fed buys $20 million in government securities when the reserve requirement is 25 percent, the money supply can potentially increase by: A) up to $80 million B) up to $100 million C) exactly $80 million D) exactly $100 million
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Divestiture Inc. stock has a beta of 1.2 and an expected dividend growth rate of 5.00% per year. The T-bill rate is 4.25% and the 10-year T-bond rate is 4.76%. The annual return on the stock market during the past 4 years was 10.25%. If the required rate of return on the stock market is 9.50%, what is the firm's requi...
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Find the point on the plane z=2x+4y+5 closest to the point P=(1,0,0).
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In its 2011 income statement, WME reported $440,000 for the cost of goods sold. WME paid inventory suppliers $380,000 in 2011, and its inventory balance decreased by $41,000 during the year. In its reconciliation schedule, WME should show a: A. $19,000 negative adjustment to net income under the indirect method for th...
B
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Compute $\int_{\partial\Omega} g \Delta h \,dS$ for a smooth function $g$ and harmonic function $h$ on the unit disk $\Omega$, where $\partial\Omega$ is oriented counter-clockwise and $g=h=1$ on $\partial\Omega$. Using Stokes' theorem, I derived the following result: $$\int_{\Omega}\Delta (gh)\,dx-\int_{\Omega}g\Delta ...
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Use the Limit process to find the area of the region bounded by the graph of the function {eq}f\left( x \right) = 9 - x{/eq} and the x-axis over the interval {eq}\left[ {3,6} \right]{/eq}.
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Why does the differential equation $4y^3 dy = 16y^3\ dy$ have a unique solution $y = 1$ when it fails to satisfy the existence and uniqueness theorem (Lipschitz condition not met)?
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You are reviewing a project with an initial cost of $4,300. What is the present value of this cost if the discount rate is 6% and the project lasts: 10 years? In the first year, you must pay out $2,000, in the second year $1,000, and in the third year you must pay out $750. Thereafter, the project will produce cash i...
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Scott Corporation is considering the purchase of a machine that would cost $325,000 and would have a lifespan of 5 years. At the end of 5 years, the machine would have a salvage value of $50,000. By reducing labor and other operating costs, the machine would provide annual cost savings of $88,000. The company requires ...
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The two main support processes in an organization are A) production systems and marketing systems. B) procurement systems and HR systems. C) financial accounting systems and HR systems. D) information systems and HR systems. E) information systems and financial accounting systems.
E
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Which of the following has the greatest impact on a firm's financial performance? A) Inventory management. B) Cash flow management. C) Working capital management. D) Receivables management. E) Payables management.
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Suppose a firm raises $27 million dollars by issuing debt at a cost of 5.7%, raises $13 million by issuing common stock at a cost of 8.7% and raises an additional $8 million by issuing preferred stock at a cost of 11%. What is the average cost of capital per dollar raised?
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Which of the following is most likely? A) ABC trading system's profitability is unrelated to the systems past performance B) ABC trading system's profitability is unrelated to the volatility of the markets ABC follows C) ABC trading system's profitability is positively related to the volatility of the markets ABC fo...
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What is the maximum number of maxima in the nth-order diffraction pattern for polychromatic light falling normally on a diffraction grating with N lines per unit length? A) N B) 2N C) 2N - 1 D) 2N + 1 E) N^2 - 1
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Consider a competitive market where the supply curve is upward sloping and the demand curve is downward sloping. After the government imposes a price floor that makes the initial market price equal to the price floor, it follows that: A. consumer surplus increases and producer surplus decreases. B. consumer surplus a...
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What are the implications of this idea for the shape of the production possibilities frontier? a. The production possibilities frontier will have a negative slope, b. The production possibilities frontier will be a straight line, c. The production possibilities frontier will have a positive slope, d. The production...
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You expect to retire in 15 years and would like to have $100,000 in your savings account at that time. If you are able to earn 6% interest on your savings, how much would you have to deposit each year to fund your retirement goal? A. $2,983 B. $4,000 C. $4,212 D. $5,490
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Prove or disprove that $P(x)$ cannot have more than two non-real roots, given that $Q(x)$ is a polynomial with $n \ge 2$, $P(x) = Q(x) - (Q(x))^2 + (Q(x))^3 - (Q(x))^4 + \cdots $ and $Q(x) = (1-x^2)^n = a_0 + a_1 x + a_2 x^2 + \cdots + a_{2n}x^{2n}$.
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Which of the following is not considered a language resource? a. Books b. Dictionaries c. Translators d. Learners
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Let $a,b \in \mathbb{R}$. Prove: $$ \sum\limits_{i=0}^{n} i a^i b^{n-i} = nab^{n-1}$$
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The accounting records of Fuzzy Dice Auto Parts reveal the following: Payment of salaries and wages $42,000 Net Income $32,000 Depreciation $12,000 Payment of income tax $17,000 Payment of interest $14,000 Collection of dividend revenue $7,000 Payment of dividends $9,000 Payment to suppliers $56,000 Collections from ...
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Stock Y has a beta of 0.8 and an expected return of 8.2 percent. Stock Z has a beta of 0.9 and an expected return of 8 percent. What would the risk-free rate have to be for the two stocks to be correctly priced relative to each other? (Round your answer to 2 decimal places. Omit the "{eq}\% {/eq}" sign in your response...
9.8
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A firm currently pays preferred stockholders a dividend of $1.44 per share and common stockholders a dividend of $1.00 per share. The firm wants to raise the common stock dividend to $2.50 per share; it will also have to raise the preferred stock dividend to $2.50 per share. Which security tends to have a greater after...
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Consider a two-factor ANOVA with a balance design. The data are as follows: M a b X11 111 100 106 X12 99 103 110 X13 108 116 112 X14 110 115 116 Determine the proportion of the total vari...
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Assume that you are considering the purchase of a 25-year bond that has a 6.35 percent coupon rate. Interest on the bond is payable annually. If you are willing to pay $1,065.09 for the bond, what is your expected rate of return? a. 5.36% b. 7.89% c. 5.80% d. 6.54% e. 6.35%
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At the end of 2016, Fortune Corporation had accounts receivable of $36,000 and a debit balance in the Allowance for Doubtful Accounts of $500. Sales revenue during 2017 was $130,000 and credit sales made up 80% of total sales. If 4% of all credit sales are not collectible, what is Fortune's estimated bad debt expense ...
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An economy with free immigration has: a. no capital stock autonomy, b. partial capital stock autonomy, c. full capital stock autonomy, d. full labor autonomy.
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All of the following are stages in an acquisition except _____ . A) integration B) justification C) idea generation D) rationalization
D
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Wagner Company sold some machinery to Granger Company on January 1, 2014. The cash selling price would have been $574,370. Granger entered into an installment sales contract that required annual payments of $160,000, including interest at 8%, over five years. The first payment was due on December 31, 2014. What amount...
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The initial investment outlay for a project is $650,000 and includes $75,000 for working capital. The project earns $250,000 per year for 5 years with an operating expense of $100,000 per year. The firm's marginal tax rate is 36% and the discount rate is 9%. What is the approximate net present value of the project? a....
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A property was acquired 7 years ago at a cost of $350,000. At that time, it was estimated that the property would last 20 years and have a salvage value at the end of its estimated useful life of 5% of its original cost. Because of wear and tear and an overall market downturn, this property's market value has decreased...
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On July 1, 20X1, Brian, Inc. sold for $240,000 a $250,000, 11%, 10-year bond issue dated July 1, 20X1. The bonds pay interest annually on June 30 of each year. The market interest rate at the time of the bond issue was 10%. On December 31, 20X1, Brian reported its bond premium in its financial statements as $74,000. Th...
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During the year just ended, but there was no change in the number of shares outstanding, Intuit Inc. had $240,000 income from continuing operations and $54,000 of extraordinary losses. In addition, Intuit had a noncontrolling interest in a subsidiary that produced $24,000 in income. Diluted earnings (loss) per share f...
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Which of the following pairs of actions suggest that fiscal policy and monetary policy are working in the same direction? a. taxes are lowered and the discount rate is raised b. government spending increases and the Fed sells bonds on the open market c. government spending and taxes increase by the same amount and t...
e
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The Farstroke Company issues $100,000, 10% bonds at 102 on March 1, 2016. The bonds are dated January 1, 2016, and mature ten years from that date. Straight-line amortization is used. Interest is paid annually each December 31. Compute the bond carrying value as of December 31, 2022.
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Newquist Corporation, which has a marginal tax rate of 34%, purchased a new piece of equipment for $28,000. The equipment is in the 5-year MACRS category (with a 6% salvage value). The net cash flows associated with the asset for the next 6 years are as follows: Year Cash flow 0 (...
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Homer has offered to sell you his store for $150,000. You can buy the store for $150,000 in cash. If you buy Homer's store, you will be able to sell it to your cousin Dolly for $200,000 three years from today. The opportunity cost of buying the store from Homer is A) $50,000 B) $150,000 C) more than $150,000 D) les...
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Which of the following is not closed under multiplication? a. Integers b. Rational numbers c. Fractions d. Whole numbers e. Real numbers
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Consider the following information for Evenflow Power Co., Amount Debt $21,400,000 Common Stock$69,000,000 Preferred Stock$4,550,000 Market risk premium 7.9% Required Return on Preferred Stock 6.3% Risk-free rate 4.6% Tax rate 30% What is the Weighted Average Cost of Capital for the company? (Hint: Compute the Cost...
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How do you find the limit of (cos x)^(1/x^2) as x approaches 0?
1/sqrt(e)
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A perfectly competitive market usually leads to a socially optimal outcome. However, a monopoly will not. An effective pricing policy for monopolistic sellers can lead to a socially optimal outcome. Consider the following choices. A monopolist can engage in price discrimination and charge the highest price to consumer...
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Kingston Manufacturing allocates manufacturing overhead based on direct labor hours. At the beginning of the year, Kingston was expecting to incur $792,000 of manufacturing overhead and 24,000 of direct labor hours. Actual manufacturing overhead was $760,800 and actual direct labor hours were 21,600. What is the amoun...
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The government provides tax credits to companies that donate money to charity. If the Fed does not fully accommodate this type of fiscal action, then interest rates will do what, as aggregate demand changes? a. contractionary; increase b. expansionary; increase c. expansionary; decrease d. contractionary; decrease
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Selecting talent form the large pool of resources in the organization is challenging. Which of the following statements is not important in order to make successful predictions regarding high potential? A. Ability to see into the future and anticipate the types of future leaders. B. Ability to accurately assess curre...
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Calculate the derivative of $f(\vec{x}) = \lVert \vec{y} \rVert$ where $\vec{y} = A \vec{x} + \vec{b}$, $\lVert \cdot \rVert$ is the Euclidean norm, $A \in \mathbb{R}^{n \times n}$ is positive semidefinite and symmetric, and $\vec{b} \in \mathbb{R}^{n}$. Is the following calculation correct, and what is the final deriv...
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Compute the flux of the vector field {eq}\phi(x,y,z) = 4 x\, \mathbf{j} + y \,\mathbf{k} {/eq} through the portion of the surface {eq}z = -y + 2 {/eq} which lies above the rectangle {eq}0 \le x \le 4, 0 \le y \le 2, {/eq} and is oriented upward.
72
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Using the fundamental theorem of calculus part 2, determine the derivative of the following function: {eq}\int^{x^2}_0 (e^{-t^2}+1)\ dt{/eq}
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Sheldon Inc., which has a profit, is considering the purchase of a new machine costing $41,000. The machine would be depreciated straight line to zero over five years. The machine would require a working capital investment of $8,000, all of which would be recovered at the end of the fifth year. The machine would genera...
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Where would you start to locate evidence for the following managerial decision? Decide whether or not to implement a marketing strategy to reach a particular customer segment. a. Customer segment b. Marketing strategy c. Management information systems d. Managerial accounting
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In its first month of operation, Sweet Acacia Industries purchased 3 units of inventory for $4 each; then 4 units for $5 each; and finally 3 units for $6 each. At the end of the month, 4 units remained. Compute the amount of phantom profit that would result if the company used FIFO rather than LIFO.
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I'm currently working my way through Peter Cameron's notes on Designs, available here: https://www.maths.qmul.ac.uk/~pjc/designs/node10.html. I've shown that the collinearity graph $G$ of a symmetric design is strongly regular with parameters $v = b$, $k=\lambda (v-1)$, $\lambda = k-\mu$, $\nu = \mu (v-1)$ and I'm now ...
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Velasco Co. changed from straight-line to DDB depreciation. The journal entry to record the change includes _____. a. a credit to accumulated depredation b. b debit to accumulated depreciation c. a debit to a depreciable asset d. the change does not require a journal entry
d
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Timberlake-Jackson Wardrobe Co. has 7.3 percent coupon bonds on the market with eight years left to maturity. The bonds make annual payments. If the bond currently sells for $1,143.74, what is its YTM?
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Papa Bear Industries paid $138,000 to buy back 13,800 shares of its $1 par value common stock. This stock was later sold at a selling price of $8 per share. The entry to record the sale includes: a. a credit to Retained Earnings for $13,800. b. a debit to Paid in Capital from Treasury Stock for $13,800. c. a debit t...
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If the demand curve is downward sloping, then a. the price elasticity of demand along the entire length of the demand curve will be the same, b. the price elasticity of demand along the entire length of the demand curve will be different, c. the price elasticity of demand will be larger at the midpoint of the demand...
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What is the derivative of the following function with respect to $t$: $$f(t) = \int_{0}^t \log(\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{x}}}})dx$$
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Franklin Co. is considering a project with the following cash flows: Time 0 = - $25,500, Years 1-4 = $8,500. What is the IRR of this project? a. 7.43% b. 13.41% c. 13.33% d. 24.87%
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$$ \lim_{x \to \infty} \frac{e^{\log(x)^{c_1}}}{2^{c_2 x}} $$ Here, $c_1$ and $c_2$ are constants.
0
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Find the sum of the following series: $\displaystyle \sum_{n=1}^\infty \frac {2n+1}{n^2(n+1)^2}$
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The first 10,000 shares sold from the authorized shares will receive the largest percentage of the total issuance price. These shares are said to have a: a. Subscribed yield b. Piecemeal yield c. Disproportionate yield d. None of these is the correct answer
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Consider a non-dividend-paying stock. Let h be a very small positive number. Which of the following is closest to $N(-d_{2})$ in the Black-Scholes model? a. $\frac{Call+he^{-rh}}{he^{-rh}}$ b. $\frac{Call}{he^{-rh}}$ c. $\frac{Call-Call(h)}{h}$ d. $\frac{Call+he^{-rh}}{h}$
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Two mutually exclusive alternatives are being considered. Alternative A has an initial cost of $100 and uniform annual benefit of $19.93. The useful life is 10 years, and the IRR is 15%. Alternative B has an initial cost of $50 and uniform annual benefit of $11.93. The useful life is 10 years, and the IRR is 20%. Th...
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Which theory explains the effect of health on income? a. Direct income theory b. Efficient producer theory c. Productive time theory d. Allostatic load theory
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Find the domain for the particular solution to the differential equation {eq}\frac{\mathrm{d}y}{\mathrm{d}x} = - \frac{x}{y} {/eq}, with initial condition {eq}y(2) = 2 {/eq}.
[-2\sqrt{2}, 2\sqrt{2}]
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Suppose in a perfectly competitive market the market demand curve is given by QD = 6000 - 500 P and the market supply curve is given by QS = -200 + 500 P. Graph these two curves (put P on the Y-axis and Q on the X-axis). Clearly mark the equilibrium point as well as the values for P and Q. Calculate the total consume...
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