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Acetate buffer, pH 5.00, contains 1.00 M each acetic acid and sodium acetate. a) What is the pH of the solution after 0.050 mol of solid sodium hydroxide is added to 1.00 L of the buffer? b) What is the pH if 0.025 L of 1.00 M HCl is added to 1.00 L of the buffer? c) Which acid-base solution would be better able to ...
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A wage paid to an employee who produces a certain good is a: A. Fixed cost. B. Variable cost. C. Marginal cost. D. Implicit cost. E. Explicit cost.
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Nelson & Sons has $1,900 of inventory on hand that was purchased for $150 each. The items in the inventory will be sold soon for $200 each. Should these items be sold now or held for a higher price in the future, management cannot determine. The items cannot be easily sold for less than $200. What is the opportunity co...
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Max has a $20 coupon for the concession stand at a movie theater. He buys a bucket of popcorn for $10, a drink for $5, and a candy bar for $2. The marginal opportunity cost to Max of keeping the $20 instead of using the coupon is: A. $12 B. $10 C. $2 D. $5 E. $17
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How many unpaired electrons does {eq}N^{3-} {/eq} have?
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Franklin Co. reports the following information for the current year, which is its first year of operations: Direct materials $137,000 Direct labor $83,600 Manufacturing overhead $348,768 Units of finished goods produced and sold 32,000 Assume the direct materials cost is $19.20 per unit, the direct labor cost is $...
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Assume the following terms for a particular loan: Maturity: 20 years Interest rate: 9 percent Present Value: $150,000 What is the value of the annual payments to be paid on this loan?
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How would you explain the possibility that a firm with a positive accounting profit might still experience an economic loss? Specifically, consider a firm with total revenues of $100, total explicit costs of $90, and total implicit costs of $40. Suppose that the implicit costs (which might include opportunity costs of...
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The number of units of a finished product that a company can produce at its plant in time {eq}\displaystyle t {/eq} (in days) is {eq}\displaystyle Q(t) = 50t^2 - \frac{1}{3}t^3 {/eq} units. (a) Determine the time at which the rate of change of production is 0. (b) For what time interval is the production increasing...
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Wilson Wonders bonds have 12 years remaining to maturity. Interest is paid annually; the bonds have a $1,000 par value and the coupon interest rate is 10%. The bonds have a yield to maturity of 9%. What is the current market price of these bonds?
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A firm has been in business for two years. Its initial investment was $200,000; it depreciates straight-line over five years. The current year's revenue is $400,000 with variable costs of $200,000 and fixed costs of $50,000. The marginal tax rate is 40%. Required: Find this year's after-tax income.
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You have 27 m of wire, which you want to use to construct a 44 cm diameter coil whose magnetic field at its center will exactly cancel the Earth's field of 0.55 Gauss. What current will your coil require? Express your answer to two significant figures and include the appropriate units.
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Cirque de Soleil's shift from animals, candy and beverage concessionaires in the aisles, and feature performers to a live theatre, operatic-style format exemplifies this type of value innovation: a) Raise b) Create c) Reduce d) Eliminate
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Assume the total cost function is {eq}C(x)=2x^3+11x^2-100x+200{/eq} and the total revenue function is {eq}R(x)=11x^2-20x{/eq}. Find the break-even points. (Round to two decimal places as needed. Use a comma to separate answers.)
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_____ in the money supply creates excess _____ money, causing interest rates to _____, everything else held constant. A) A decrease; demand for; rise. B) An increase; demand for; fall. C) An increase; supply of; rise. D) A decrease; supply of; fall.
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Dust 'n Fur Company, Inc., provides a single product to customers. The company recently used $201,800 of raw materials in production activities. The journal entry reflecting this transaction would include: A. a debit to Raw Materials Inventory for $201,800 B. a debit to Work in Process Inventory for $201,800 C. a cr...
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Suppose stock X has a beta of 1.4. Stock X is expected to generate a return of 15 percent, while stock Y is expected to generate returns of 12 percent. What must be the beta of stock Y?
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The average person in the U.S. produces about 2.5 kg (5.5 pounds) of garbage per day. Express the daily garbage production for the average person in the U.S. in micrograms per second. Use 365 days per year.
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The sequence $\{a_n\}$ is defined by the recurrence relation $$a_{n+1} = \frac{1}{1+a_n}, \quad a_1 = 1.$$ Show that the sequence $\{a_n\}$ is convergent.
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Luther Company bought a machine that it depreciated by the straight-line method over an estimated useful life of six years. The salvage value of the machine was estimated to be $5,000. At the end of five years, the machine's book value was $12,000. In the fifth year, there was a major overhaul on the machine making it ...
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Consider the following cash flow. What is the Internal Rate of Return? Year 0 Year 1 Year 2 Year 3 Cash Flow -$2,200 +$990 +$810 +$780 a. 8.44% b. 7.38% c. 8.72% d. 7.96%
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Net cash flow from financing activities is: (a) Cash receipts from borrowing plus cash payments for principal on borrowing less cash receipts from issuing stock. (b) Cash receipts from borrowing less cash payments for principal on borrowing plus cash receipts from issuing stock. (c) Cash payments for principal on bo...
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Managers will often choose a company-level strategy that is not congruent with the strategies pursued by its individual business units, especially when: a. A company has a limited number of business units, all of which are performing well. b. Company managers have a negative perception of business-level managers. c....
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What is the instantaneous rate of change of #f(x)=xe^x-xe^{x+1} # at #x=-1 #?
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Use Stoke's Theorem to evaluate ∫_c F * dr where F = x^2 y i + (5/3)x^3 j + 3yk and C is the intersection of the cylinder x^2 + y^2 = 1 and the plane 4x + 5y + z = 4, oriented counterclockwise as seen from above.
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Find {eq}\int \oint_S \overrightarrow F \cdot \overrightarrow n ds{/eq} where F = xi + yj + zk and S is the sphere x2 + y2 + z2 = a2.
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At December 31, 2017, P Corp. leased equipment to S for a period of 5 years. The lease meets the criteria of a finance lease. The present value of the minimum lease payments is $120,000 and the cost of the asset to P Corp. is $100,000. S paid $10,000 at December 31, 2017 and at the end of each year thereafter. P Corp. ...
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Which of the following are considered fiscal variables? i. government purchases ii. taxes iii. transfer payments a. i only b. i and ii only c. i and iii only d. i, ii, and iii e. none of the above
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The heights of male students in a university are normally distributed, with a mean of 69.5 inches and a standard deviation of 1.8 inches. If a class of 20 students is randomly selected, what is the probability that their mean height will be less than 70 inches?
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Kaplan Associates for the period February-July has been as follows: MonthIncome ($1000) February$70.0 March68.5 April64.8 May71.7 June71.3 July72.8 Use exponential smoothing to forecast August income. Assume the initial forecast for February is $65,000. The smoothing constant should be a=0.3
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Find an approximation of the area of the region {eq}R{/eq} under the graph of the function {eq}\displaystyle f(x)=4-\frac{1}{3}x{/eq} on the interval {eq}[2,14]{/eq}. Use {eq}n=6{/eq} subintervals. Choose the representative points to be the midpoints of the subintervals.
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A stock portfolio consists of 4 different stocks. The portfolios stocks have a weighted average of 22.4% and the average variance of 12.7%. What is the portfolio variance, given the following weights for each stock?
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Kennewick company acquired 70% of the outstanding common shares of Martenson company for $600,000 on January 1, 2015. On that date, Martenson reported common stock of $400,000 and retained earnings of $310,000. Equipment was undervalued by $40,000 and buildings were undervalued by $50,000. Each having a 10-year remaini...
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A stock currently trades at $50 per share. A trader buys one share one year from now and sells the share two years from now. If the risk-free interest rate is 3% per year, compounded continuously, what should be the price of the forward contract on the stock today?
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Shoe Carnival leases out its trademarked shoe boxes as promotional giveaway boxes to its retail stores. The leasing agreement qualifies as a sales-type lease. Shoe Carnival leased a box to a store for {eq}\$236 {/eq} on November 1, 2015. The lease term is for 2 years. The box cost Shoe Carnival {eq}\$190 {/eq}, had a...
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The owner of a service station is considering two possible expansions of the present structure to allow for the sale of more gasoline and the repair of more automobile. The first plan (expansion A) involves a major remodeling of the existing building. The second plan (expansion B) involves building a new service facili...
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You purchased a stock for $34.75 a share. The stock paid a dividend of $1.72 per share last year. You sold the stock for $37.50 a share. Calculate the total percentage return on the stock. A. 6.74% B. 8.35% C. 8.52% D. 9.10%
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A 20-year maturity bond with par value of $1,000 makes semi-annual coupon payments at a coupon rate of 8%. If the bond price is $950, what is the effective yield to maturity?
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According to the most recent Davenport student profile, 47% of students have children under 17 living at home with them. Find the probability that a random sample of 800 students will return more than 50% students with children under 17 living at home with them.
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With {eq}T=0.6, {/eq} {eq}G=500, {/eq} and {eq}I=250-100r, {/eq} use the IS relation to solve for {eq}r {/eq} when {eq}Y=1000 {/eq} (instead of {eq}Y=1250 {/eq} in class). Show your work. Answer: {eq}r=4\% {/eq}.
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Auto Works, Inc. produces all-natural floor waxes. The firm is considering the purchase of a new machine for $232,368 that is expected to produce the following net cash flows. Year 1 Year 2 Year 3 Year 4 $46,800 $75,600 $75,600 $82,600 Calculate the internal rate of return on the new machine. Compare the IRR to the ...
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A long wire carries a current of 5.0 A. Find the energy stored in the magnetic field inside a volume of 1.0 mm x 1.0 mm x 1.0 m that lies adjacent to the wire, if the wire's diameter is 0.50 mm.
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A firm has a debt-to-equity ratio of 1.0. If it had no debt, its cost equity would be 9%. Its cost of debt is 7%. The relevant tax rate is 34%. What is the firm's WACC if it has a debt-to-equity ratio of 1.0?
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Stephenson & Sons has a capital structure that consists of 20 percent equity and 80 percent debt. The company expects to report $3 million in net income this year, and 60 percent of the net income will be paid out as dividends. How large can the firm's capital budget be this year without it having to issue any new comm...
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Wooly Bully's annual revenues are $100,000 and its variable costs are $40,000. The fixed costs are $30,000. The firm's tax rate is 40% and it has 40,000 shares of stock outstanding. Wooly also has a debt of $100,000 outstanding with a before-tax cost of 10%. What will be its EBIT if its revenues decline by 5%?
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Beta Corp. enters into a factoring arrangement with Alpha Company. Beta sells its receivables to Alpha at a 3% discount. Which of the following is an incorrect statement? a. Beta must retain the right to credit sales returns for the period covered by the sale to Alpha. b. Beta must continue to collect the receivables...
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How large a sample is needed in order to be {eq}99\%{/eq} confident that the sample proportion will not differ from the true proportion by more than {eq}3\%{/eq} given a random sample of {eq}72{/eq} science generated the following confidence interval for the proportion of left-handed scientists: {eq}(0.12,\ 0.16){/eq}.
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Company X sells a single product and had no beginning inventory. For 2004, variable production costs were $4.00 per unit and fixed production costs were $8.00 per unit. Sales were $100,000, variable expenses were $35,000, fixed expenses were $55,000, and net income was $20,000. Sales for the next year are expected to i...
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The current yield to maturity on a 1-year Treasury bill is 3%. The average inflation premium is 2.7%, and the maturity risk premium is estimated to be 0.2%. The real risk-free rate is 1.5%. The nominal risk-free rate is 2%, the real return on the stock market is 7.2%, and the average return on long-term government bond...
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Crumpley Company manufactures specialty toys for boys. The following information has been compiled for the month of June: 1. Direct material used $308,000 2. Direct labor $95,000 3. Factory depreciation expense $73,000 4. Administrative expenses $50,000 5. Total factory labor hours 16,000 6. Machine hours 3,600 ...
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Suppose you are the operations manager for ABC Manufacturer. ABC Manufacturer uses processes that produce many units of a product that go through several processes before the product is finished. A unit of a product represents a large number of items that move through the process together. The following information per...
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ABC is a calendar company that issues bonds with 10 years to maturity and a coupon rate of 10% with interest paid semiannually. The YTM of the bond is 8%. What is the price of the bond if it matures in 20 years?
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New York Waste (NYW) is considering refunding a {eq}\$50 {/eq}, 14% bond issue that matured on December 31, 2019. It is a sinking fund debt issue, with a call price of 105. NYW is a publicly held company whose bonds are rated very high double-A by Moody's. The issue has 3 years remaining to maturity at the time of the...
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The salts X(NO3)2 and Y(NO3)2 (where X+2 and Y+2 are metal ions) are dissolved in water to give a solution which is 0.1 M in each of them. Using the Ksp values listed below, decide which aqueous reagent, if any, will definitely precipitate X+ before precipitating Y+ from solution. Given Ksp values: XCl2, 1 x 10^-5 YC...
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Calculate the de Broglie wavelength, in picometers, of a hydrogen-1 (protium) nucleus traveling at {eq}\displaystyle 6.00 \times 10^7\ m/s {/eq} at {eq}\displaystyle 20\ ^oC {/eq}.
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A series circuit consists of a 0.04 F capacitor, a 0.05 H inductor, a 0.22 A ammeter, and an 80 V rms generator operating at 20 rad/s. The reading on the ammeter is:
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Find the probability that an electron in the ground state of hydrogen will be found in the region {eq}a<r<2a {/eq}.
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Dorchester Company has two departments, Machining and Assembly. The following estimates are for the coming year: Machining Assembly Total Manufacturing overhead $150,000 $300,000 $450,000 Direct labor hours 2,000 6,000 8,000 Machine hours 3,000 4,000 7,000 Dorchester uses departmental overhead rates. Machining is al...
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Why, if $f: [a,b] \to \mathbb R$ is differentiable and $f'$ is bounded, does it follow that $$\lim_{n \to \infty} \sum_{k=1}^{n} f'(x_k)\delta x_k = \int_a^b f'(x) dx?$$ In particular, why is $\sum_{k=1}^{n} f'(x_k)\delta x_k$ equivalent to $f'(x) dx$, and why does the limit as $n \to \infty$ of this sum give the integ...
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Molteni Motors Inc. recently reported $8 million of net income. Its EBIT was $15 million, and its tax rate was 35%. What was its interest expense? a. $5.25 million b. $6.625 million c. $2.275 million d. $5.00 million e. $7.50 million
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For $x,y,z>0$, find the minimum value of $$\frac{1}{x}+\frac{2}{y}+\frac{3}{z}-\frac{1}{xy}-\frac{2}{yz}-\frac{3}{zx}$$
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You put m apples randomly in n baskets. Suppose each basket has unlimited capacity, what is the expected number of empty baskets?
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Keenan Co. is considering a project which will produce cash inflows of $11,600 a year for 5 years followed by $7,400 in year six. What is the internal rate of return if the initial cost of the project is $37,000? a) 13.78% b) 14.11% c) 14.68% d) 15.10% e) 15.22%
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Jorge Company received proceeds of $423,000 on 10-year, 8% bonds issued on January 1, 2014. The bonds had a face value of $400,000, pay interest annually on December 31st, and have a call price of 102. Jorge uses the straight-line method of amortization. What is the carrying value of the bonds on January 1, 2016? a. $...
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It was estimated that 5,700 direct labor-hours would be required to complete a production order of 1,000 units. The actual direct labor was 5,250 hours at a rate of $20.00 per hour. The standard direct labor rate is $19.50. The direct labor rate variance is: A. $2,925.00 unfavorable. B. $2,625.00 unfavorable. C. $2,...
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Edward's Manufactured Homes purchased some machinery 2 years ago for $46,000. The assets are classified as 5-year property for MACRS. The company is replacing this machinery today with newer machines that utilize the latest in technology. The old machines are being sold for $16,000 to a foreign firm for use in its prod...
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If the market interest rate increases 100 basis points, the percentage change in the market price of a 10-year 7.0 percent bond selling at par is closest to _____.
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Calculate the result of rotating a vector {eq}\vec{v} {/eq} about a pivot point P by the given angle {eq}\theta {/eq} and then calculate the result of rotating that resultant vector about the pivot point P by the given angle {eq}-\theta {/eq}. Let {eq}\vec{v} {/eq} = 4i + 2j - k, P = (2, 1, -1), and {eq}\theta {/...
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At Hillside Bakery, labor is a variable input, and capital is a fixed input. The current wage rate is $10/hour, and the price of capital (in the form of the oven) is $1000/month. In the short run, the amount of capital is fixed at 2 ovens. The current marginal product of labor is 50 units of output. If the firm can hir...
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Higgenbotham Company received proceeds of {eq}\$427,000 {/eq} on {eq}10 {/eq}-year, {eq}9\% {/eq} bonds issued on January 1, 2013. The bonds had a face value of {eq}\$400,000 {/eq}, pay interest annually on December 31st, and have a call price of {eq}102 {/eq}. Higgenbotham uses the straight-line method of amortiz...
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P Corporation acquired a 60% interest in S Corporation on January 1, 2014, at book value equal to fair value. During 2014, P sold merchandise that cost $225,000 to S for $315,000. One-third of this merchandise remained in S's inventory on December 31, 2014. S's reported net income of $200,000 for 2014. P's income from...
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Your company is considering purchasing a new machine for $18,500, installation costs of $1,700, and another $6,000 is required for net working capital. The machine will be depreciated on a straight-line basis over 5 years with no salvage value. Your firm's cost of capital is 12% and its tax rate is 34%. What is the cas...
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Use spherical coordinates. Find the volume of the solid above z = 0 inside the sphere ρ = 4 and outside the cone z = x^2 + y^2.
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Find the value of the constant C for which the following integral $$\int_0^{\infty} \frac{x}{x^2 + 4x + C} dx $$ converges. Evaluate the integral for that value of C.
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A project that costs $80,000 with a useful life of 5 years is being considered. Straight-line depreciation is being used and salvage value is $5,000. The project will generate annual cash inflows of $ 21,375. The accounting rate of return is: a. 26.7% b. 45.5% c. 7.8% d. 18.74%
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Pare Company reported a net income of $170,000 for 2014. Pare also reported a depreciation expense of $33,000 and a gain of $6,000 on the disposal of plant assets. The comparative balance sheet shows an increase in accounts receivable of $15,000 for the year, a $17,000 increase in accounts payable, and a $6,000 increas...
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James and Helen Turnip are saving to buy a boat at the end of five years. If the boat costs $20,000 and they can earn 10 percent a year on their savings, how much do they need to put aside at the end of years 1 through 5?
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A computer's processing speed, measured in {eq}m {/eq}hertz, is a function of the number of transistors it contains, measured in {eq}m {/eq}illion, and the number of transistors that can be placed on an integrated circuit, measured in {eq}m {/eq}illion, as follows: {eq}\displaystyle S(n,w) = \frac {n^2w}{n + 10 w}...
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Suppose the government temporarily sets the price of wheat in half of the states at $2.50 per bushel, while the free market price of wheat is $4.50 per bushel. What happens to the net benefit (total consumer and producer surplus) from selling wheat in these states? a. Net benefit increases by $2 per bushel because of ...
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Marie Lester earns a gross pay of $2,400 per week. Marie is married and claims 3 allowances. She pays 6% of her gross earnings in state taxes. Assuming FICA withholding is 7.65% for Social Security and 1.45% for Medicare, what is her net pay? (Assume the standard deduction of $2500 and an exemption amount for each per...
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If stock A has a beta of 1.7, stock B has a beta of 0.65, stock C has a beta of 2.8 and stock D has a beta of 1.25, which of these stocks have the least amount of systematic risk? Explain your answer. a. Stock A b. Stock B c. Stock C d. Stock D
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Brendan Ltd has annual sales of $200 million with a cost of goods sold of $150 million. They keep an average inventory of $60 million. On average, the firm has accounts receivable of $50 million. The firm buys all raw materials on credit. Its trade credit terms are net 30 days and it pays on time. The firm's managers a...
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Using the capital market line, a portfolio with a beta of 2.5 would be expected to return: a) one fourth as much as the market portfolio. b) twice as much as the market portfolio. c) 2.5 percent. d) 2.5 times as much as the market portfolio. e) a combination of a & d.
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Find the maximum and minimum values of the function {eq}f(x,y) = xy{/eq} subject to the constraint {eq}x^2 +y^2 \leq 25{/eq}.
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The following data is provided for the year 20X6 and 20X5. 20X6 20X5 Inventory cost under FIFO $350,000 $325,000 Inventory cost under LIFO $380,000 $290,000 Calculate the difference in gross profit between FIFO and LIFO for the year 20X6.
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This is a problem with the Binomial distribution. An automated quality control procedure rejects products with more than 2 defects. A manufacturer knows that the probability that a product has defects is 0.01. The company uses an automated procedure to test 200 products each hour. Calculate the probability that the a...
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Boeing Company, which has a capital budgeting problem, has the following prospects: Initial investment: $10,000; annual after-tax cash inflows of $2,500 in year 1, $3,000 in year 2, $3,500 in year 3, and $4,000 in year 4; net after-tax salvage value of $500 in year 4; and no working capital investment required. The c...
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During 2017, Oriole Company borrowed $2,000,000 on a 10%, 5-year note payable. The company also had $6,000,000 of 12% bonds outstanding for the entire year. Oriole's income before interest expense was $10,000,000. What is the company's times interest earned ratio? a. 12.5 : 1. b. 10.0 : 1. c. 13.3 : 1. d. 8.0...
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The Canyons Resort, a Utah ski resort, recently announced a $415 million expansion of lodging properties, lifts, and terrain. Assume that this investment is estimated to produce $99 million in equal annual cash flows for each of the first 10 years of the project life. Determine the expected internal rate of return of ...
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Let {eq}\; C \; {/eq} be the triangle in the {eq}\; xy \; {/eq}-plane with corners {eq}\; (0, 0), \; (3, 2), \; (0, 6) \; {/eq} oriented clockwise. By using Stokes' Theorem, calculate the line integral {eq}\; \int_C 5xyz \; dx + 5x^2z \; dy + 5x^2y \; dz {/eq}.
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Sally purchased a (364-day) T-Bill with a face value of $100,000 at a 3.68% interest rate. She sold the T-Bill to her broker 60 days later at a 3.2% discount rate. What is her dollar profit on the T-Bill? A. $691 B. $4,200 C. $200 D. $3,525 E. $3,977
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Heath Foods's bonds have 7 years remaining to maturity. The bonds have a face value of $1,000 and a yield to maturity of 8%. They pay interest annually and have a coupon rate of 11%. What is their current yield?
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A firm's cost of retained earnings is: a. less than the cost of a new issue of common stock. b. higher than the cost of a new issue of common stock. c. equal to the interest rate on its existing debt. d. equal to the firm's equity discount rate. e. the rate of return on the firm's bonds.
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Find the derivative of $$\frac{d}{dx} (1 \cdot \sin 2 \pi 20000 x + 1 \cdot \sin 2 \pi 19000 x) $$. Am I supposed to take the derivative of each term with respect to $x$?
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Let $A,B \in M_{n}(C)$ and $AB=BA$. Find the rank of the matrix $(A+B)(A-B)+(A-B)(A+B)$. I have tried to simplify the matrix: $(A+B)(A-B)+(A-B)(A+B)=A^2-AB+BA-B^2+A^2-AB+BA-B^2=2A^2-2B^2-2AB+2BA=2(A-B)^2$. However, I am stuck here because we do not have the information that $A-B$ is invertible and I can't make more pro...
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The first Doctor of Psychology degree (Psy.D.) was offered by the: a. California School of Professional Psychology (CSPP) b. University of Illinois c. American Psychological Association (APA) d. Vail Institute
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An insulating sphere is 5.00 cm in diameter and carries a 4.60 μC charge uniformly distributed throughout its interior volume. Calculate the charge enclosed by a concentric spherical surface with a radius r = 6.00 cm.
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When does a company recognize a cash flow from the sale of a depreciable asset? A. Only at the time the cash is received. B. When the asset is depreciated. C. When the asset is sold. D. When the cash is received or the asset is sold, whichever occurs first.
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Dr. Finstad has the following balances in her accounts at December 31, 2011, after adjusting and closing all accounts except for Unrealized Losses on Trading Investments: Current assets$16,000 Long term assets120,000 Unearned revenue7,000 Trad. Investments12,000 Accumulated depreciation5,000 Cost of goods sold112,000...
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Graves Company had a balance in the Accounts Receivable account of $280,100 at the beginning of the year and a balance of $302,600 at the end of the year. Net credit sales during the year amounted to $5,900,000. The average collection period of the receivables in terms of days was _____.
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