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You have gathered the following information: Balance in Accounts Receivable, Jan 1 $70,000 Total credit sales during January $750,000 Collections from credit customers in January $710,000 Estimate of doubtful debts in January $3,000 Calcul...
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The Fundamental Theorem of Calculus indicates which of the following: A) The definite integral of f(x)dx from a to b is equal to the antiderivative of f(x) evaluated at b minus the antiderivative of f(x) evaluated at a. B) The definite integral of f(x)dx from a to b is equal to the area under f(x) from x=a to x=b. C) T...
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Last year, Heidenescher Corporation's variable costing net operating income was $63,600 and its inventory decreased by 600 units. Fixed manufacturing overhead cost was $1 per unit. What was the absorption costing net operating income last year? A. $64,200 B. $63,000 C. $63,600 D. $600
B
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If 7 dice are rolled, what is the probability that 3 are 6's and the other 4 are different?
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A company has 1,000 shares of $100 par value, 7 percent cumulative, nonparticipating preferred stock. Dividends have not been paid for the past two years. In the current year, the board of directors declares a total dividend of $45,000. Dividends payable to preferred stockholders will be: A. $14,000. B. $28,000. C. ...
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The most common type of NYSRDA non-lawyer that is granted limited rights to practice law is: a. the legal intern. b. the attorney in training (AIT). c. the paralegal. d. the legal assistant.
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There was a $5,000 transfer from accounts receivable to unearned revenue, and the unearned revenue account was credited for $4,000. The adjusting entry would include a: A. debit to accounts receivable of $1,000 B. credit to accounts receivable of $1,000 C. debit to sales revenue of $1,000 D. credit to sales revenue...
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Find the values of x for which the series {eq}\displaystyle \sum_{n=1}^{\infty} \frac{(x-6)^n}{n6^n} {/eq} will converge.
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Convert the second-order differential equation to a first order system of equation and solve it using separation of variables. Use the initial conditions to obtain a particular solution for the equation {eq}\displaystyle \frac{d^2x}{dt^2} + \left(\frac{dx}{dt}\right)^2 = 0 {/eq} given {eq}x(0)=0 {/eq} and {eq}x'(0)=0 ...
x(t)=0
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Which one of the following is false? A. costs of external failure are typically highest B. costs of internal failure are typically higher than the costs of external failure C. costs of internal failure are typically lowest D. appraisal costs are the costs of measuring a product
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A citator will not indicate that the validity of a revenue ruling has been impacted by which of the following: a. Issuance of a later revenue ruling modifying the revenue ruling. b. Issuance of a later revenue ruling superseding the revenue ruling c. Decision by a court questioning or invalidating the authoritative ...
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Assume that the required reserve ratio is 100%. If a bank receives a new deposit of $500, the money supply: a. can increase by $500. b. will decrease by $500. c. can increase by more than $500. d. can increase by less than $500.
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Nathan Corporation has 20,000 shares of $10 par common stock outstanding. On August 1, 2013, the corporation declared a 5% common stock dividend when the stock was selling for $22 per share. Which of the following is the correct entry to record the stock dividend? A) Debit: Stock Dividends, $11,000; credit Common Stoc...
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What is the effect on cash and cash equivalents of purchasing treasury stock for $50,000 cash? a. Decrease of $50,000b. Increase of $50,000c. No effectd. Only affects working capital
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Iterating by computer $x_0=0$, $x_n=\frac{{x_{n-1}}^2}{2}-1$, does $\lim_{n\to\infty}x_n = 1-\sqrt3$?
1-\sqrt{3}
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How can the change of variables $u=\frac{z-x}{\sqrt{2}}, v=\frac{z+x}{\sqrt{2}}$ be performed to integrate the Gaussian distribution $\frac{1}{\sqrt{2\pi}}e^{\frac{-x^2}{2}}$ and $\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}}$ to find the PDF of $Y=\frac{X}{Z}$? Also, what is the correct Jacobian for this transformation?
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On average, six customers arrive per hour at the emergency room of a small hospital. Let X denote the number of arrivals in a given hour. The expected number of arrivals in a two-hour period is _____.
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Given $f(z)=z^{n}$ with $z=x+iy$, I found $f'(z)=nz^{n-1}$ and $|f'(z)|=n|z|^{n-1}$. Now, I am stuck at calculating the absolute value of the integrand in Cauchy's Integral Formula: $$\int_C \frac{z^{n}}{z^{2}-1} dz = \int_C\frac{f(z)}{z-(-1)} dz=2\pi if(1)=2\pi i(1)$. How do I proceed to obtain the desired $2\pi i n$ ...
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What is the probability that at least 50 customers arrive in a 2-hour period, given that customers arrive at a rate of one every minute and a half in a single line at the Post Office at 4 P.M. on a Friday, and customers arrive according to a Poisson process? Round your answer to four decimal places.
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Consider an infinitely long line of charge that has linear charge density 5.00{eq}\mu {/eq}C/m. A proton (mass = 1.67{eq}\times {/eq}10{eq}^{-27} {/eq} kg, charge = +1.60{eq}\times {/eq}10{eq}^{-19} {/eq} C) is 18.0 cm from the line and moving directly toward the line at 2.40{eq}\times {/eq}10{eq}^{6} {/eq} m/s....
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When preparing a statement of cash flows using the indirect method, which of the following is correct? A. Proceeds from the sale of equipment should be added to net income in the operating activities section. B. A loss on the sale of land should be added to net income in the operating activities section. C. The decl...
B
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Which of the following is a function of the financial system? a. Allow individuals and firms to make investments without producing a good or service. b. Direct the flow of funds from those with funds available to those in need of funds. c. Allow for the safe and timely transfer of funds to buyers and sellers. d. Co...
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The developed group has two divisions of equal size: an office furniture manufacturing division and a data processing division. Its CFO believes that stand-alone data processor companies typically have a WACC of 9%, while stand-alone furniture manufacturing division typically have a WACC of 13%. She also believes that ...
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Both Toyland and Sweetland are closed economy producers of a single good, teddy bears. The market demand for teddy bears in each country is: {eq}P=60-2Q {/eq} The market supply in each country is: {eq}P=Q+10 {/eq} Assume that each country has a single firm producing this good, so that the market supply for each c...
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Nevada Boot Co. reported a net income of $185,000. Beginning and ending inventory balances were $34,500 and $36,500, respectively. Accounts payable balances at the beginning and end of the year were $31,000 and $27,000, respectively. Assuming that all relevant information has been presented, Nevada Boot would report op...
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Assume that a firm makes the following estimates about a proposed capital investment. The best estimate of the net present value is $4,000. The worst-case scenario for this investment has a net present value of -$50,000, and the best-case scenario has a net present value of $75,000. If the firm selects this alternative...
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Which of the following required supplementary information (RSI) is designed to communicate in narrative, easily readable form the purpose of a state or local government's basic financial statements and current financial position? A) Independent auditor's report. B) Letter of transmittal. C) Management's Discussion a...
C
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As the sample size increases, the t distribution approaches the _____ distribution. a) standard normal b) z c) chi-square d) F
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In its 2013 financial statements, Behrend Corp. (a US firm) reports depreciation expense in its income statement of $10,000,000 and reports Property Plant and Equipment (PP&E) in its balance sheet at its book value of $120,000,000. What information does this convey? A. The value of Behrend's depreciable assets declin...
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You own a stock portfolio invested 40% in stock Q, 30% in stock R, 20% in stock S, and 10% in stock T. The betas for these four stocks are 0.75, 1.23, 1.12, and 1.36, respectively. What is the portfolio beta? (Round the answer to 2 decimal places.)
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In the context of capital structure, which of the following is generally true? A. Firms will borrow more if their cash flow is very predictable. B. Firms will borrow more when the cost of equity is high. C. Firms will borrow less when the corporate tax rate is high. D. Firms will borrow more when a large block of t...
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Suppose that the government wishes to balance the government budget by raising taxes. What effect will this have on investment? a. rise b. fall c. no change d. insufficient information
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If Country X's current account balance is 5% of GDP, then _____? A.) X is a net capital importer, and its national saving rate exceeds its national investment rate. B.) X is a net capital importer, and its national investment rate exceeds its national saving rate. C.) X is a net capital exporter, and its national sa...
C
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Assume that both the U.S. and the U.K. produce only two goods, wine and cars. Further assume that, for the U.S. and the U.K., the opportunity cost of 1 unit of wine increases as the quantity of wine increases. The U.S. has an absolute advantage in producing both goods. Which of the following statements is true? a. The...
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A general linear model includes: a. T tests b. simple linear regression c. multivariate regression d. all of these
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A two-component system of four enzymes (A, B, C, and D) is used by baker's yeast to digest starch into simple sugars. When either B or D is missing, the yeast can no longer digest the starch. In addition, mutants that were unable to make either component B or component D were unable to grow on minimal medium supplement...
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A stock has a beta of 1.35, the expected return on the market is 13.7% and the risk-free rate is 5.4%. What must be the expected return on the stock be?
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Suppose the demand curve for a business firm is downward sloping. Which statement is true about elasticity ({eq}E_D {/eq}), marginal revenue (MR), and/or total revenue (TR)? a. In the elastic range of the demand curve, {eq}MR > 0 {/eq} when selling price is reduced. b. TR is constant along the length of the demand ...
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Which of the following statements is correct for a firm in which depreciation expense exceeds EBIT? The firm: A. will have a net loss. B. will have no income-tax liability. C. needs to lower its interest expense. D. can still have a positive net income.
D
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Edwin is a plant manager and is adept in framing corporate policies for hiring and training. Which of the following dimensions of intellectual ability does his skill reflect? A. spatial visualization B. deductive reasoning C. inductive reasoning D. verbal comprehension E. perceptual speed
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One important difference between stocks and bonds is that _____. A) if the company that issued a stock goes bankrupt, the shareholders will never receive the money that they've invested. However, if the company that issued a bond goes bankrupt, the bond holders can take to law to collect the money they've invested. B...
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How do I prove that the shortest distance from a point P to a plane (given by points A, B, and C) is along the line perpendicular to the plane, using the condition that the distance formula is minimal when its derivative is zero?
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You would like to have $500,000 in your savings account 20 years from now, and you're prepared to make equal annual deposits into the account at the start of each year. Required: What amount must you deposit each year if the account pays 6% interest per year? a. $11,638.62 b. $8,586.04 c. $7,032.53 d. $6,692.98
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Prehn Company experienced the following costs in 2015: Actual Fixed Manufacturing Overhead$82,000 Budgeted Fixed Manufacturing Overhead$75,000 Allocated Fixed Manufacturing Overhead$83,000 The company allocates fixed manufacturing overhead to production based on estimated volume of 5,000 units. What was Prehn's v...
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Consider the region bounded by {eq}y = e^x{/eq}, the x-axis, and the lines x = 0 and x = 3. Find the volume of the solid whose base is the given region and whose cross-sections perpendicular to the x-axis are squares.
1/2(e^6-1)
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Stocks A and B have the following data: Stock A: Beta = 1.25 Required Return = 11.25% Market Price = $25.00 Expected Growth = 7.00% Stock B: Beta = 0.95 Required Return = 9.25% Market Price = $25.00 Expected Growth = 9.00% The required returns for Stocks A and B are 11.25 percent and 9.25 percent, respective...
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Compute the following: {eq}\displaystyle \lim_{x\ \to\ -\infty}(\dfrac{2x + 3}{2x^2 - 5})^5 {/eq}.
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If the demand for British pounds increases while the supply of pounds remains unchanged, then in the short run, the pound will _____. This in turn will cause the interest in Britain to _____ and the interest in the U.S. to _____. a. fall; rise; rise b. appreciate; rise; fall c. appreciate; fall; rise d. depreciate;...
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Use the L'Hopital rule and properties of exponential and logarithmic functions to find: {eq}\lim_{x\rightarrow 0^{+}}(1 + e^x)^{\frac{1}{ln x}} {/eq}
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$$\lim_{h\to0} \frac{(\ln(x+h))^2-(\ln(x))^2}{h}$$ How do I continue solving this limit to find the derivative of $(\ln x)^2$?
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Considering the function $$f(x,y,z)=\sqrt{16 - x^2 - y^2 - z^2}$$, is the image of $f$ equal to $[0,16]$?
[0, 4]
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In higher dimension, can we show the functions $x_1\mapsto f(x_1,0)$, $x_2\mapsto f(0,x_2)$ are nowhere differentiable by showing $$\left|\frac{f(x_1+\Delta x_1,0)-f(x_1,0)}{\Delta x_1}-0\right|=\left|\frac{|x_1|-|x_1+\Delta x_1|}{\Delta x_1}\right|\geq 1?$$
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For the year just ended, Paycheck Printing Corporation had a net income of $246,000. During the year, accounts receivable increased $34,000, accounts payable increased $21,000, and inventory decreased $23,000. Depreciation expense was $48,000. What is the amount of the firm's cash flow from operating activities?
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What is the cash flow to stockholders if the company issued $3.2 million of new common stock and paid dividends of $2.4 million?
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How to calculate the following limit using the Fundamental Theorem of Calculus, Part 1, assuming the function f(x) is continuous on [a, b]? $$ \lim_{h \rightarrow 0} \frac{1}{h}\int^{4-h}_{2} \frac{3}{x^2+1}\,dx $$
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A manager would most likely evaluate a department based on: a. Fixed costs. b. Controllable fixed costs. c. Controllable variable costs. d. Variable costs. e. All of these choices are possible.
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Jensen's Travel Agency has 11 percent preferred stock outstanding that is currently selling for $57 a share. The market rate of return is 13 percent and the firm's tax rate is 34 percent. What is Jensen's cost of preferred stock?
19.30%
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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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During 2012, Master Corporation sold inventory costing $460,000 to its 40 percent owned subsidiary, S Corporation, for $600,000. At the end of 2012, the subsidiary reported a gross profit margin on internally generated sales of 30 percent. What amount of intercompany profit should Master Corporation eliminate in its 2...
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What is the breakeven point if the fixed costs are $200,000, the selling price is $25, and the variable costs are $15? A. $50,000 B. $200,000 C. $100,000 D. $300,000
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Let S be a normally distributed random variable with a mean of 3.150 and a variance of 441. Calculate the probability that S > 0.
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Suppose there are five categories of employees (administration, faculty, professional staff, clerical, and maintenance). A university decides to randomly select 10 individuals from each category. This sampling plan is called: a. simple random sampling b. stratified sampling c. cluster sampling d. systematic sampling e....
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You are looking at a one-year loan of $15,500. The interest rate on a one-year loan is quoted as 11.8 percent plus three points. What is the EAR?
14.8%
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Suppose you are planning to buy an investment property costing $200,000. You have $20,000 to put down as a down payment. Your down payment is: a. A cash flow. b. A sunk cost. c. An opportunity cost. d. Both A and B. e. None of the above.
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The effect of reducing the tax rate on the interest expense of a corporation would be to: a. Increase both the WACC and the firm's value. b. Increase the WACC but not the firm's value. c. Decrease the WACC and the firm's value. d. Decrease the WACC but not the firm's value.
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If the government can properly set a maximum price in a market, then it should set that price at which: a) market quantity demanded exceeds market quantity supplied b) market quantity supplied exceeds market quantity demanded c) market price exceeds the equilibrium price d) equilibrium price exceeds the market pric...
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The "tax wedge" refers to A. the division of the tax burden between consumers and producers B. the portion of the equilibrium price paid by producers C. the difference between the price paid by consumers and the price received by sellers D. the portion of the equilibrium price paid by the government as tax revenue
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Evaluate the line integral $\int_c \mathbf F \cdot d\mathbf r$, where $\mathbf F(x, y) = (y - x^2) \mathbf i + (x + y^2) \mathbf j$ and C is the line segment from (2, 0) to (0, 1).
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Assume that the weights of marbles are normally distributed with a mean given by mu=172 grams and a standard deviation of o=29 grams. If 100 marbles are selected, find the probability that they have mean weight less than 167 grams.
0.0427
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In 1980, the average yield to maturity on U.S. government securities was about 10 percent and the average annual rate of inflation was about 12 percent. What was the average real rate of interest in 1980? a. 22 percent b. 2 percent c. 12 percent d. -2 percent e. -18 percent
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A microbrewery plans to conduct a study on beer consumption among men between the ages of 29 and 45. A pilot test indicated that men in this age category consume an average of 6 beers per week with a standard deviation of 2.3. If the microbrewery seeks a 90% confidence level and a precision of 0.3 beers, what size samp...
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Cost-push inflation will result in which of the following changes to the price level (P) and real GDP (Y)? A. P: increase; Y: decrease B. P: increase; Y: increase C. P: decrease; Y: increase D. P: decrease; Y: decrease E. P: no change; Y: decrease
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Given an infinite series $\sum_{n=1}^{\infty} a_n$, if $a_n=0$ if $n$ is even, does the sequence $a_n$ still diverge, even though the sum of the series could be $a_1$?
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From the long-run perspective for the average firm, an increase in the scale of operations will: A. cause the plant to produce more efficiently B. increase short-run average fixed costs C. decrease short-run average fixed costs D. cause the plant to produce less efficiently
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Suppose two goods (X and Y) are being produced efficiently and that the production of X is always more labor intensive than the production of Y. Production depends only on two factors (capital and labor); these may be smoothly substituted for each other. The total quantities of these inputs are fixed. An increase in th...
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Palm Corporation has two service departments whose direct department costs are $75,000 and $10,000, respectively, and two producing departments whose direct department costs are $60,000 and $250,000, respectively. What are the combined total department costs for the producing departments after allocating the service de...
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Calculate the flux of the vector field F(x,y,z) = 3i+4j+8k through a square of side length 5 lying in the plane 2x+2y+4z=1 oriented from the origin.
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You added an SDRT buffer to a reaction for a 40-minute incubation. After 40 minutes you took a break and went back to your computer. You need to use the reaction in an electrophoresis soon. What do you do with the reaction? a) Let it incubate a little more b) Quench the reaction by adding a high concentration of SDS c)...
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A 10-year U.S. Treasury bond has a 3.50% interest rate, while a same maturity corporate bond has a 5.25% interest rate. Real interest rates and inflation rate expectations would be the same for the two bonds. If a default risk premium of 1.50% is estimated for the corporate bond, determine the liquidity premium for the...
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The marginal cost of a product is given by {eq}3 \sqrt{x^2+4} {/eq}. Assume that the fixed cost is {eq}\$14 {/eq} per unit when x = 0. (a) Find the total cost of producing 10 units. (b) Find the average cost over [0, 10].
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The standard costs and actual costs for factory overhead for the manufacture of 2,566 units of actual production are as follows: Standard Costs Fixed overhead3 hours @ $0.70 per hour Variable overhead3 hours @ $1.90 per hour Actual Costs Total variable cost$17,958 Total fixed cost$8,189 Determine the amount of the...
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It is known that the numbers of cell phones sold per day in a store are normally distributed with a standard deviation of 5. A random sample of 40 days gives a mean of 37. A researcher wants to test H0: = 35 versus H1: > 35. Find the p-value of the test.
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How do you evaluate the definite integral #int x^(3/2)dx# from #[0,1]# using Riemann sums?
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I can't get the right answer for this question which is stated as follows: Consider an economy with no government or foreign trade. The aggregate production function is $Y=K^{\frac{1}{3}}L^{\frac{2}{3}}$. Capital depreciates at a rate of $\delta=0.2$. There are no externalities and the population is constant. Moreover,...
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The regression equation for a sample of 20 was computed. The standard error of the estimate (SYX) was 4.62. Based on the sample size given, what is the standard error of the regression? a. 2.34 b. 4.00 c. 9.24 d. Cannot be determined without additional information.
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Compute the after-tax salvage value of the equipment if it is sold at Year 5, given that Westley Equipment has allocated $100,000 for the purchase of equipment. The equipment will last for 5 years. It will be depreciated on a straight-line basis for the next 5 years. This year, the tax rate is 35%, and it is expected t...
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Use the Divergence Theorem to calculate the surface integral that is, calculate the flux of {eq}\mathbf F {/eq} across S. {eq}\displaystyle \mathbf F (x,\ y,\ z) = x^2 \sin y\ \mathbf i + x \cos y\ \mathbf j - x z \sin y\ \mathbf k {/eq}, S is the "fat sphere" {eq}x^8 + y^8 + z^8 = 125 {/eq}.
0
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Suppose that the average income of a Kenyan is higher than the average income of a South African. You might conclude that a. South African firms are faced with stricter government regulations than Kenyan firms. b. total income is divided among fewer workers in Kenya since it has a smaller labor force than South Afric...
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What is the probability that the average price for 25 gas stations is less than $2.47, given that the cost of unleaded gasoline in the Bay Area follows an unknown distribution with a mean of $2.59 and a standard deviation of $0.12?
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Consider a competitive constant-cost industry with many identical firms (i.e. firms with identical U-shaped cost curves). The demand curve in this market is downward sloping, and the market is currently in long-run equilibrium. Assume that there is an increase in demand, ceteris paribus. Compared to the initial long-ru...
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Pigeon Inc. is currently considering an eight-year project that has an initial outlay or cost of $80,000. The future cash inflows from its project for years 1 through 8 are the same at $30,000. Pigeon has a discount rate of 13%. Because of concerns about funds being short to finance all good projects, Pigeon wants to c...
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The AD curve shows the negative relationship between (a) The price level and the interest rate. (b) The price level and investment. (c) The interest rate and the real GDP demanded. (d) The price level and the real GDP demanded. (e) The interest rate and the real GDP supplied.
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A decrease in German residents' willingness to invest in dollar-denominated assets will shift the demand curve for: a. Euros to the right, b. Euros to the left, c. Dollars to the righ, d. Dollars to the left.
d
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Compute $\gcd(12345, 60789)$ using the Euclidean algorithm.
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A food company is interested in estimating the proportion of Americans who prefer their brand of canned green beans to that of a competitor. They will use this estimate to determine advertising strategy. Determine the sample size needed to estimate the population proportion to within .03 with 95% confidence, assuming n...
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Wastewater containing phosphate is being stirred with ferric chloride to form a precipitate of ferric phosphate for removal in a clarifier. The wastewater flow rate is 5000 mgd and the phosphate concentration is 10.0 mg P/L. The ferric chloride (FeCl{eq}_3 {/eq}). concentration in the slurry fed to the reactor is 100...
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Danielsen Co. purchases an asset for $8,500. This asset qualifies as a seven-year recovery asset under MACRS. Danielsen has a tax rate of 35%. The seven-year expense percentages for years 1, 2, 3, 4, 5, and 6 are 14.29%, 24.49%, 17.49%, 12.49%, 8.93%, and 8.93%, respectively. If the asset is sold at the end of six year...
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How do you prove that √3 is irrational?
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What is the present value of an investment that pays $80 at the end of each year for 10 years and pays an additional $1,000 at the end of the tenth year if the required rate of return is 8%?
$1,000
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Solve the differential equation: {eq}e^x \tan(y) \dfrac{dy}{dx} = 1 {/eq}
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