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Henry Company purchased a delivery truck for $38,400 on January 1, 2014. The truck is expected to last six years and have a residual value of $6,600. By December 31, 2014, Henry had operated the truck for two years and had accumulated total depreciation of $6,700. Henry sold the truck for $24,000. What was the amount ...
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Is it legitimate to show $\displaystyle \lim_{n \to \infty} \frac{n}{n^2+1} = 0 $ by writing $\displaystyle \lim_{n \to \infty} \frac{n}{n^2+1} = \lim_{n \to \infty} \frac{1}{n + \frac{1}{n}}$ and then saying the limit as $n \to \infty$ of $\frac{1}{n}$ is 0? Does this work with any constant in the denominator, or is i...
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It is now January 1st, 2018 and you are considering the purchase of an outstanding Puckett Corporation bond that was issued on January 1st, 2016. The Puckett bond has an 8.5% annual coupon and a 30-year original maturity (it matures on December 31st, 2045). Interest rates have declined since the bond was issued, and th...
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During September, 8,400 watches were sold for $280.00 each. The company has the following inventory purchase transactions for the month of September. Date Transaction No. of units Unit cost Total cost 1-Sep Beginning inventory 300 $177.00 $53,100 4-Sep Purchase 5,400 $178.00 961,200 24-Sep Purchase 2,7...
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Find $\frac{dy}{dx}$, where $$y=\int^2_x\frac{1}{t}dt$$
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An investor purchased a ten-year bond with a face value of $5,000 seven years ago. The coupon rate is 10% and the discount rate is 5%. The investor now has an opportunity to purchase a second bond with a coupon rate of 15%. The discount rate of similar types of bonds has increased to 10%. He plans on selling the first ...
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A 35-turn rectangular coil of wire has a width of 15 cm and a length of 25 cm. It is placed with its plane parallel to a magnetic field {eq}\displaystyle B = (0.20x)T {/eq} in the +x-direction. Determine the magnitude of the torque on the coil if the current is {eq}I = 25 A {/eq}.
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How do you prove the identity #int_a^b f(x)dx = -int_b^a f(x)dx#?
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When the price is $20, quantity demanded is 200, and when the price is $10, quantity demanded is 400. For these two prices, what is the absolute value of the price elasticity of demand?
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Watson's Hot Dog Stand sells hot dogs for $2.49 each. Watson's fixed costs total $9,600 per month. Variable costs are $1.89 per hot dog. At the break-even point, how many hot dogs did Watson's sell? A) 64,000 hot dogs. B) 11,200 hot dogs. C) 16,000 hot dogs. D) 31,200 hot dogs. E) 22,400 hot dogs.
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Pete's Office Furniture purchased a new chair for $585. It will last 5 years. At the end of its life, the chair is expected to be sold for its salvage value of $30. Using the straight-line method of depreciation, what is the annual depreciation expense? a. $105 b. $106.67 c. $111 d. $285
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A straight wire segment of length L lies along the x-axis between x = L and x = 0. The wire has a uniform linear charge density {eq}\lambda {/eq}. The total charge in the segment is q = {eq}\lambda {/eq} L. Calculate the electric potential at the point P on the axis of the wire at x = X.
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What are the flotation costs for a firm when they issue 10,000 shares of common stock with a $1 par value at $10 a share, when the company paid $5 per share to investment bankers? a. $150,000 b. $50,000 c. $5,000 d. $100,000
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Find the area of the region cut from the first quadrant by the curve {eq}r = 10(1 - sin^2\theta)^{1/2}{/eq}
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Lasorsa Corporation manufactures a single product. Variable costing net operating income last year was $84,000 and this year was $94,000. Last year, $2,000 in fixed manufacturing overhead costs were deferred in inventory under absorption costing. This year, $30,000 in fixed manufacturing overhead costs were released fr...
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Find the PW of the following series of cash flows at a discount rate of 10.5% Year 0: -$25,000 Year 1: $10,000 Year 2: $14,000 Year 3: $8,000 Year 4: $6,000
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If you were to graph average total cost against the quantity of output, and the graph started near the origin and rose to the right with increasing slope, then in terms of fixed and variable costs we know that _____. a. average fixed costs are falling and average variable cost is rising. b. total fixed costs are risi...
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It is generally accepted that a firm with a debt-equity ratio of 1.5 or less has an optimal capital structure. This means that a firm with a: A. debt-equity ratio of 1.6 or more should reduce its use of debt. B. debt-equity ratio of 1.5 should not use any more debt. C. debt-equity ratio of 1.6 should not use any mor...
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How much water must be added to 25.0 mL of a 3.00 M H{eq}_2 {/eq}SO{eq}_4 {/eq} solution to make a 0.150 M H{eq}_2 {/eq}SO{eq}_4 {/eq} solution?
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A large public company has provided the following information about its stock: The stock has a beta of 1.35. The current risk-free rate of return is 5%. The expected market risk premium is 8%. The expected return on the stock is 14%. Based on CAPM, what is the expected return of the stock? a. 13.5% b. 15.36% c....
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For f(x, y) = e^y sin 3x, evaluate fy at the point (1, 0).
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You are the manager of a monopolistically competitive firm, and your demand and cost functions are given by {eq}Q = 36 - 4P {/eq} and {eq}C(Q) = 124 - 16Q + Q^2 {/eq}. (Enter numeric responses rounded to two decimal places.) a. What price should you charge? $____ b. What will your profit level be? $____
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The aggregate demand curve shows the relationship between the average price level and the: a. real interest rate. b. demand for money. c. quantity of real GDP demanded. d. aggregate supply of goods and services.
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Allied Shirts can sell {eq}1000 {/eq} T-shirts when the price is {eq}\$10 {/eq} each, but only {eq}800 {/eq} T-shirts when the price is raised to {eq}\$15 {/eq} each. Determine the elasticity of demand for Allied's T-shirt (use the simple formula for %-change, not the mid-point formula).
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A temperature-sensitive allele: a. is expressed at the permissive temperature but not at the restrictive temperature. b. is expressed at both the permissive and restrictive temperatures. c. encodes a protein that is functional at the permissive temperature but nonfunctional at the restrictive temperature. d. a and ...
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The critical point (x, y) = (0, 0) is a. a saddle point. b. a local minimum. c. a local maximum. d. a global minimum. e. a global maximum. f. none of the above.
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What does it mean to consider $c\in\mathbb{Z}$ as a fraction?
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Eminence Products manufactures 20,000 units of part S-6 each year for use on its production line. At this level of activity, the cost per unit for part S-6 is: Direct materials $3.00 Direct labor 10.00 Variable manufacturing overhead 2.00 Fixed manufacturing overhead 12.00 Total cost per part $27.00 An outside suppli...
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The budget for the month of May was for 9,600 units at a direct materials cost of $21 per unit. Direct labor was budgeted at 30 minutes per unit for a total of $115,200. Actual output for the month was 9,100 units with $133,500 in direct materials and $111,285 in direct labor expense. The direct labor standard of 30 mi...
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Data: Net Income for 2010 = $162,000 Accounts receivable increased $48,000 during 2010 Prepaid expenses decreased $34,000 during 2010 Payables to suppliers increased $21,000 during 2010 Calculate cash flow from operating activities using the indirect method.
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While Anderson Brooke was a student at UNC-CH, he borrowed $12,000 in student loans at an annual rate of 9 percent. If Anderson repays $1,500 per year, how long to the nearest year, will it take him to repay the loan?
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If gross income is $80,000, AGI deductions are $25,000, and from AGI deductions are $7,000, what is the adjusted gross income?
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Solve the problem. Round the answer to two decimal places. Assume normal distribution. Annual expenditures for prescription drugs were {eq}\$838 {/eq} per person in the Northeast region of the country. A sample of {eq}60 {/eq} persons in the Midwest showed annual expenditures of {eq}\$900 {/eq}, with a standard dev...
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General Products Corporation bought its specialty division and recorded $750,000 goodwill related to the purchase. On December 31, 2017, the fair value of the division is $6 million, although General Products gives the division a book value of $5.1 million, including goodwill. Analysis of the division's assets reveals ...
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The 2015 income statement for Duffy's Pest Control shows that depreciation expense was $191 million, EBIT was $492 million, and the tax rate was 35%. At the beginning of the year, the balance of gross fixed assets was $1,562 million, and net operating working capital was $411 million. At the end of the year, gross fixe...
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T-Rex Company is considering a project with the following annual free cash flows: Year 0: -$500,000; Year 1: $1,000,000; Year 2: $2,000,000; Year 3: $3,000,000; Year 4: $3,000,000. Which of the following is the correct calculation of the MIRR assuming a discount rate of 10% and a reinvestment rate of 15%? a. {eq}(15\%...
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A 56.0 kg child is standing on the outer edge of a merry-go-round that has a moment of inertia of 1900 kg \cdot m^2 and a radius of 2.5 m. The entire system is initially rotating at 18 rpm. Find the angular velocity if the child moves to a final position 1.1 m from the center of the merry-go-round.
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The actual level of unemployment is A. always equal to the nonaccelerating inflation rate of unemployment (NAIRU). B. the unemployment rate at which the inflation rate equals zero. C. the unemployment rate that is implied by the intersection of the aggregate demand curve and the short-run Phillips Curve. D. the une...
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Franklin Corporation has two operating segments: the Retail segment and the Wholesale segment. Any segment with less than {eq}\$1,000,000 {/eq} in sales is considered a component of a larger segment. Sales for the Retail segment amounted to {eq}\$3,000,000 {/eq}, and variable costs totaled {eq}\$1,800,000 {/eq}. Fix...
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I need to prove: $$\int_{[0,1]^2}\frac{(y-x)^2}{(1+xy)(y^2-x^2)}dxdy=\frac{\pi}{2}$$ I did the following: The integrand is non-negative so we just need to prove the integral is equal to $\frac{\pi}{2}$. I did the following change of variables: $u=\frac{y-x}{\sqrt{2}}$ and $v=\frac{y+x}{\sqrt{2}}$. The Jacobian determin...
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A firm sells two types of diffusers for home use, regular and deluxe. The firm's total revenue function is TR = 30Q1 + 45Q2 - 6Q1 Q2, where Q1 and Q2 are, respectively, the quantities of regular and deluxe diffusers that the firm sells. The firm's total cost function is TC = Q12 + 4Q22 + Q1 Q2. To maximize its profit, ...
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A bond has a duration of 6.5 years, a yield to maturity of 6%, and a par value of $1000. What is the percentage change in the price of the bond if the interest rate were to fall by 125 basis points? a. 0.6875% b. 0.8125% c. 0.8784% d. 0.7500% e. 1.2375%
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Examine the following cash flow statement section and select the correct classification. Cash received from customers a. Financing b. Investing c. Operating
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At an activity level of 5,600 machine-hours in a month, Nooner Corporation's total variable production engineering cost is $607,552 and its total fixed production engineering cost is $155,504. What would be the total production engineering cost per unit, both fixed and variable, at an activity level of 5,900 machine-ho...
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Consider a Cournot duopoly with the following reaction functions: Firm 1: Q1 = 50 - 0.5Q2 Firm 2: Q2 = 40 - 0.5Q1 The Cournot equilibrium market price is _____.
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Which of the following statements is not correct? a. To calculate the income of each partner under the profit and loss ratio method, the total income of the firm must be allocated to each partner in the ratio provided in the partnership agreement. b. The basic difference between the income for work done and the guara...
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The principle of diminishing marginal utility implies that the marginal utility of a good: A. First increases, then decreases as the consumer buys more of the good. B. Decreases as the consumer buys more of the good. C. First decreases, then increases as the consumer buys more of the good. D. Increases as the consu...
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Sunset Acres reported net income of $52.0 million. Included in that number were trademark amortization expense of $2.6 million and a gain on the sale of land of $2.3 million. Records reveal decreases in accounts receivable, accounts payable, and inventory of $2.9 million, $2.9 million, and $3.9 million, respectively. W...
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Find the derivative of the following function {eq}h(v)= ( \frac {1}{v^3}+ \frac {1}{v^4} )^6{/eq}
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The overhead cost variance is: a. actual overhead less overhead budgeted for actual hours. b. actual overhead less overhead budgeted for standard hours allowed. c. overhead budgeted for actual hours less applied overhead. d. the fixed overhead rate times the difference between normal capacity hours and standard hou...
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The trade discount series 12/10/5 results in a net price for commercial paper of $17,460. The list price for the paper is a. $20,272.70. b. $19,800.00. c. $18,316.30. d. $16,570.80. e. $17,020.00.
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$$U= \left \{ X_1+\frac{X_2}{2}: X_1, X_2 \in \mathbb{R} \right \}.$$ Why is $U$ not closed under addition?
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The cost that a service provider incurs for customers who use a service is called: a. direct service cost. b. indirect service cost. c. job cost. d. idle time cost.
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Zumbrunn Company's income statement contained the condensed information below. ZUMBRUNN COMPANY Income Statement For the Year Ended December 31, 2015 Service revenue $926,000 Operating expenses, excluding depreciation $576,700 Depreciation expense 51,600 Loss on disposal of equipment 22,400 650,700 Income before ...
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Jada Construction Company uses the percentage-of-completion method. In 20x1, Jada began work on a contract for $2,226,000 and completed it in 20x2. The following cost data pertain to the contract: Year Ended December 31, 20x1Year Ended December 31, 20x2 Costs incurred during the year$812,366$515,934 Estimated costs t...
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If the inflation rate is greater than the target rate, what would Fed do? a. buy government securities b. sell government securities c. decrease the discount rate d. none of the above
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You want to have $150,000 in your savings account 15 years from now, and you're prepared to make equal annual deposits into the account at the start of each year. If the account pays 6% interest per year, what amount must you deposit each year?
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Determine the constant {eq}c{/eq} so that the following vector field is conservative: {eq}\overrightarrow{F} = \langle xyz + \sin(y), x^2z + e^{zy}, x^2y + y^2 \rangle{/eq}
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Punch-N-Cut Company makes two types of picture frames, brass frames and aluminum frames, with the following properties: Punch-N-Cut is considering purchasing an automated machine for $730,000 that will reduce the required labor per unit for aluminum frames to $2.00 per frame, while keeping the labor requirements for br...
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Assume that a study of 500 randomly selected college students has the following data: 450 are taking at least one online class, 60 are taking at least one offline class, 20 are taking both at least one online and one offline class, 10 are taking neither. What is the probability that a randomly selected student is takin...
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Debbie's Dress Shoppe has 15,000 shares of common stock outstanding at a price of $13 a share. The stock has a net income of $28,000. The common stock has a beta of .9 and the risk-free rate is 3 percent, and the market risk premium is 7 percent. The firm also has 2,500 shares of preferred stock outstanding at a price ...
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Dandelion gardens reported earnings of $2.19 per share and paid a dividend of $1.15 per share. The stock price was $13.62 per share. What is the retention ratio?
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A firm sells its product in a perfectly competitive market. If the firm is currently producing a level of output at which profit is not maximized, then it must be true that: a. Profit can be increased by producing more. b. Profit can be increased by producing less. c. Average profit is negative. d. Marginal revenue...
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Materials are added at the beginning of the production process at Santiago Company, which uses a FIFO process-costing system. The following information on the physical flow of units is available for the month of March: Beginning work in process (25% complete) 8,000 units Started in March 50,000 units Completed in ...
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A state has a demand function for sugarbeets given by p = D(x) = 0.02x + 6, where x is measured in millions of pounds of sugarbeets, and p is measured in dollars per pound. Find the elasticity of demand E. (Elasticity of demand) ={eq}E = {/eq} __________ If E > 1, then demand is elastic. If E < 1, then demand is i...
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The interest rate in the United States is 4%, and the euro is trading at 1 euro per dollar. The euro is expected to appreciate to 0.9 euros per dollar. Calculate the interest rate in Germany.
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Alto Corp. bought a piece of land for $50,000 seven years ago. The land was expected to be sold in five years with a profit. Today, after evaluating the market, Alto has decided that they will not sell the land. The land can be sold for $100,000 today. In seven years, the land will be sold for $50,000. The original cos...
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Find the total volume of a cylinder in a sphere of radius 10 cm, given the cylinder's height is 10 cm. Use the formula V = πr^2h for the volume of a cylinder, where r is the radius of the cylinder and h is its height. Also, write r^2 + x^2 = 100, where r is the radius of the cylinder and x is half of its height (5 cm i...
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In 1976, an organization surveyed 1100 adult Americans and asked, "Do you feel that gun laws in the USA are too lenient or should they be more stringent?" Of the respondents, 580 said that the laws should be more stringent. In 1992, an organization surveyed 1000 adult Americans and asked them the same question. Of the ...
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For a complex number $z=\cos\theta+i\sin\theta$ , find the maximum value of $\mid 1+z\mid +\mid 1-z\mid $.
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You have an opportunity to purchase a truck that will last three years and cost $30,000. The truck will allow you to serve pizza to homes and increase your net revenues (meaning net of associated variable costs) by $20,000 per year. Calculate the NPV using an interest rate of 10%. (Please answer in excel)
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KJ Corporation is considering a project which will produce an incremental after-tax income of $34,665. To pay for this project, KJ plans to issue 2,675 shares of stock at a price of $25 a share. The firm's stock has a beta of 1.8. The risk-free rate of return is 7% and the market risk premium is 8.5%. The firm's tax ra...
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The first Psychology department was established in: a. Columbia University b. Harvard University c. University of Pennsylvania d. University of California
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What is the pH at the equivalence point when {eq}25.00 \ mL {/eq} of {eq}0.1056 \ M \ CH_3COOH {/eq} is titrated with {eq}0.1056 \ M \ NaOH {/eq}?
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Bonds issued by the Coleman Manufacturing Company have a par value of $1,000, which of course is also the amount of principal to be paid at maturity. The bonds are currently selling for $900. They have 10 years remaining to maturity. The annual interest payment is 11 percent ($110). Compute the yield to maturity. (Ro...
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How much money can be saved in a five-year period by purchasing a more efficient motor that costs $5,600 over a base motor that costs $5,300 if the more efficient motor will have an annual operating cost that is $550 less than the base motor? The salvage value of the more efficient motor is expected to be 15% of its in...
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Use the Ratio Test to determine the convergence or divergence of the following series, or state that the test does not apply: $\sum _ { n = 1 } ^ { \infty } \dfrac { 3 ^ { n } } { 1 + 3 ^ { n } }$ .
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The controller at Wintersaas Corporation is in the process of developing cash transfer rules for the firm. Currently, the firm's bank charges $15 per wire and $0.30 per ACH. The ACH takes 1 day longer to clear. The firm's account earns an earnings credit rate of 0.50%, and the required reserve ratio is 10%. If the firm...
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What is the average value of the function {eq}f(x) = (60 - x)e^x{/eq} on the interval [1, 2]?
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A machine costing $214,583.00 has an estimated useful life of seven years and a residual value of $10,000.00. The straight-line method of depreciation is being used. If the depreciation expense at the end of Year 2 is $30,000, what was the original cost of the machine?
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John is planning on repaying a debt of $25,000 with a quarterly payment $1,200 for the next 23 quarters and a final payment of X dollars at the end of 24th quarter. If the interest rate is 12% per year, compounded quarterly, what will be John's final payment?
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One of your customers is delinquent on his accounts payable balance. You have mutually agreed to a repayment schedule of 10 percent per month. You will charge 1.5 percent per month interest on the overdue balance. If the current balance is $430, how long will it take for the customer to pay off the account?
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For a complex number $z$ what can be said about $z$ for the equation $z^{4}-iz+1=0$?
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You found the following information on the top cap. Reserve Price: $2,600. Buy It Now Price: $3,660. Number of Bids: 1. Total Number of Unique Bidders: 2. Average Reserve Price of Aladdins of the Total Number of Unique Bidders: $2,800. Based on this information, how much were the auctioneers able to get for the top cap...
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A firm has a debt-to-equity ratio of 0.8, a leverage ratio of 1.4, an interest burden of 0.2, and a return on sales of 6%. The firm generates $2.60 in sales per dollar of assets. What is the firm's ROE?
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You are in the market for a used 2006 Honda Accord. You know that half of the 2006 Accords are lemons and half are peaches. If you could be assured that the Accord you were buying were a peach, you would be willing to pay up to $10,000. On the other hand, you would only be willing to pay $2,000 for a lemon. You have no...
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Scott Company's accountant has gathered the following information for the year ended 12/31/16. Sales $380,000 Beginning Merchandise Inventory $46,000 Ending Merchandise Inventory $38,000 Purchases $226,000 Beginning Accounts Receivable $76,000 Ending Accounts Receivable $68,000 Sales returns and allowances $5,400 Beg...
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You are offered an annuity that pays $1,000 annually at the end of each of the next 5 years. If the discount rate is 8%, what should be the price (value) of the annuity today?
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Quattrone Co. expects to sell 140,000 units of its product in the next period with the following results: Sales (140,000 units)$2,240,000 Costs and expenses: Direct materials$280,000 Direct labor$620,000 Overhead$126,000 Selling expenses$168,000 Administrative expenses$378,392 Total costs and expenses$1,678,392 Net I...
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Jane wants to estimate the average amount of time it takes high school students in her town to complete their homework. She wants to construct a 99% confidence interval for the mean time to complete the homework (μ) with a margin of error no more than ±0.1 hours. She surveys 36 randomly chosen high school students. Wha...
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A company paid $1.20 dividend per share last year. Today they paid the shareholders a $1.50 dividend per share. What is the growth rate in its dividends?
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Three circular rings of radius 15 cm are each charged to +8.8 nC. The rings are placed side-by-side with their central axes aligned. What is the magnitude of the electrostatic force on the charge Q at the center of the left ring?
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Badger Co. reported the following on its 2012 income statement: Sales revenue $245,000 Cost of goods sold$119,000 Depreciation expense$28,200 Other expenses$22,600 Interest expense$15,000 Income tax expense$12,200 Its cost of goods sold consists of: Beginning inventory $41,000 Purchases $64,500 Ending inventory $1...
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Harrison's Fish Market had the following transactions during 2018: Bought 600 pounds of fish on account from Harris Foods. This purchase was not recorded by either company until February 2019. Returned 80 pounds of fish to Harris Foods. This return was not recorded by either company until February 2019. Sold 450...
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A person has the utility function u(x, y) = min(x, y) and has income $100. The price of x is $5 and the price of y is $5. If the price of x falls to $4, then this person's welfare: A. goes up by more than $5. B. goes up by $5. C. goes up by less than $5. D. may increase by more than $5, less than $5, or exactly $5,...
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Consider the sphere $x^2+y^2+z^2=9$ with center $(0,0,0)$ and radius $r=3$. Evaluate the flux integral $\iint_S curl F \cdot dS$ where $F(x,y,z)=\left <-y,x,z\right >$ and $S$ is oriented with outward-pointing normal vector. Express your answer in terms of $\pi$.
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The level of ocean acidity is measured by the pH of the water. Since 1985, scientists have been monitoring the pH of the Southern California Bight using two research vessels, the Neil Armstrong and the R/V New Horizon. The table below shows their approximate pH measurements for 1992, 2002, and 2012. Use this informatio...
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I want to integrate $g(x)={_2F_1} (a,b;c;0.9x)$ against a uniform density over $x\in[-0.1,1]$ and compute the first three terms in the series $\int_{-0.1}^1 g(x)\,dx=c_0+c_1\log(9)+c_2\log^2(9)$. How can I determine the values of $c_0$, $c_1$, and $c_2$?
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The People's Republic of Atteric (PRA) is considering granting a movie production and distribution franchise to the U.S. company Best in Flicks, Inc. (BFI). Management at BFI is considering the proposal and would like to estimate the expected net cash flows for the proposal. The firm estimates that the average film wil...
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When a member of a group makes a contribution that improves the performance of the group, it is called: a. strategic alliance b. shared performance c. supportive learning d. cross-subsidization
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