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A home costs $300,000, and a family makes a down payment of $60,000. If the family pays no more than $1,800 per month for the loan, what is the maximum length of the loan (in years)? Assume that interest is 6% compounded monthly.
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Use cylindrical coordinates to evaluate the volume of the solid that lies above z = x^2 + y^2 and below z = 9.
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Based on the following information, calculate the sustainable growth rate for Hendrix Guitars, Inc.: Net income = $7,900 Dividends = $2,000 Total debt = $69,000 Total equity = $41,000
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If a firm has net profit of $46,500, revenue of $140,000, current assets of $30,000, and current liabilities of $15,000, what is its return on equity (ROE)?
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In its first month of operation, Sweet Acacia Industries purchased {eq}320 {/eq} units of inventory for {eq}\$5 {/eq}, then {eq}420 {/eq} units for {eq}\$6 {/eq}, and finally {eq}360 {/eq} units for {eq}\$7 {/eq}. At the end of the month, {eq}400 {/eq} units remained. Compute the amount of phantom profit that wo...
$680
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A random variable has a triangular probability density function with a = 40, b = 150, and m = 100. What is the probability that the random variable will assume a value between 40 and 140?
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This is what I have so far... Let $f: \mathbb R \rightarrow \mathbb C$, $f(x) := \frac{x}{2} + i\frac{x}{3}$. Given $x\in \mathbb R$, $|f(x)| = \sqrt{(\frac{x}{2})^2 + (\frac{x}{3})^2} = \frac{\sqrt{13}}{6}|x|.$ So, the linear map $f: \mathbb R \rightarrow \mathbb C$ is bounded. (I think) But now, since $\mathbb R$ is ...
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Given $E[X] = 10$ and $E[Y] = 20$, find: $E[X^2 + (Y - 5)^2]$ given that $Cov(X,Y) = 1$ and $Var(X) = Var(Y)$. My answer is 502 but the correct answer is 501. Where is the error?
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An investment of $2,463 results in returns of $1,000 in year 1, $1,200 in year 2, and $1,000 in year 3. What is the internal rate of return (IRR) for the investment?
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Consider a die tossed 8 times. Determine the probability that 2 or 4 comes up at least 5 times.
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A project has an initial cost of $36,000.00, expected net cash inflows of $9,900.00 per year for 11 years, and a cost of capital of 9.00%. What is the project's PI?
1.87
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What is the final step of the budgeting process? A. Prepare the budgeted financial statements. B. Implement the budget. C. Update the master budget. D. Conduct budget evaluation and analysis.
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Consider an LTI system for which the input x[n] and output y[n] are related by the difference equation y[n] - (1/2)y[n - 1] = x[n] + x[n - 1] What is the transfer function of this system? a) H(z) = (1+ z^(-1))/((1/2) + z^(-1)) b) H(z) = (1 - z^(-1))/((1/2) - z^(-1)) c) H(z) = (z + z^(-1))/(z - (1/2)z^(-1)) d) H(z...
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Diane Company had actual variable manufacturing costs of $150,000 and actual fixed manufacturing costs of $70,000. The utility cost is a variable cost. The plant supervisor wages are mostly fixed but may include some variable compensation. Management by exception would most likely have directed an investigation of whic...
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Manny's Manufacturing Company expects to have a direct labor cost of $7 per unit with variable overhead of $1 per unit. At capacity, the company can produce 10,000 units in a month. The contribution margin ratio on the product is 28%. The company is currently operating at full capacity and accepts a special order for 5...
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Air enters an adiabatic gas turbine at 1310 kPa and 400{eq}^{\circ} {/eq}C and exits the turbine at 100 kPa and 125{eq}^{\circ} {/eq}C. The mass flow rate of air is 10 kg/s. Determine power output from the turbine.
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The last earnings per share were {eq}\$1.6 {/eq} for Microsoft. Earnings are expected to grow this fiscal year by {eq}17.3 \% {/eq}. The retention ratio is {eq}0.31 {/eq}. What is the expected dividend at the end of this year? (Answer to {eq}2 {/eq} decimal places.)
1.30
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The amount of money (in thousands of dollars) that a company can spend on advertising for its new product is given by {eq}R(x) = 42 + 5x + \frac {1}{32}x^2{/eq}, where x is the number of months the company wants to spend on advertising. Find the rate of change of R with respect to x when x = 4. How do I do this problem...
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Reed Inc. is considering a project with cash flows, as shown in the chart, and a WACC of 10%. What is the project's NPV? Year Cash Flow 0 -1,025 1 650 2 450 3 250
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The loop of wire shown in the figure contains a switch and a battery with ε = 2.6 V. The resistance of the loop is 0.52 Ω, and L = 3.1 mH. The switch is closed at t = 0 s. The current will reach 99.0% of its final value in a time t = _ s.
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Two rings with identical radii and mass are initially placed side-by-side on a table. The first ring is made of iron, and the second is made of aluminum. The rings are identical in size so they can be easily compared. The rings are then held so that they can freely rotate. A magnet is placed near each ring and they are...
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Once supply side effects are taken into account, tax cuts for labor income can change: i. the supply of labor ii. potential GDP iii. the growth rate of potential GDP A. iii only B. i and ii C. ii only D. i only E. i and iii
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The risk of a portfolio consisting of two uncorrelated assets will be: A) equal to the average of the risk level of the two assets. B) equal to zero. C) greater than the risk of the least risky asset, but less than the risk level of the more risky asset. D) greater than zero but less than the risk of the more risky...
C
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Find the value of the multiple regression equation {eq}\hat{Y} = 5.20 + 1.01X_1 + 0.53 X_2{/eq} when {eq}X_1{/eq} is 3 and {eq}X_2{/eq} is 8.
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When titrating 30.0 mL of a weak, monoprotic acid to the equivalence point, 10.0 mL of 0.211 M sodium hydroxide is required. The pH at the equivalence point is 9.90. What is the acid concentration?
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A manufacturing company's cost function is $C(x) = \frac{1}{2} x^2 + 75x + 140$, where $C(x)$ is the total cost incurred in producing $x$ units of a product. What is the average cost per unit, $\bar{C}(x)$, of the product, where $\bar{C}(x) = \frac{C(x)}{x}$?
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An increase in the cash component of the net operating working capital can occur when: a) inventory increases b) accounts payable increases c) notes payable increase d) accruals increase
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Choose the correct answer. If you were to start a firm producing the basic chips for online/mobile games, your firm would likely compete with firms like: A. Nintendo and Sega. B. Microsoft and Apple. C. Google and Facebook. D. Hasbro and Sega. E. Sony and Nintendo.
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If the number of units produced is more than the number of units sold, which of the following statements is true when comparing overhead costs under absorption versus variable costing? A. Variable costing will produce higher fixed overhead costs on the income statement. B. Absorption costing will produce higher fixed...
B
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Assume that a "leader country" has real GDP per capita of $40,000, whereas a "follower country" has real GDP per capita of $20,000. Next, suppose that the growth of real GDP per capita falls to 0 percent in the leader country and rises to 4 percent in the follower country. If these rates continue for long periods of ti...
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James Inc. manufactures titanium and铝合金器械. data about these products for the fiscal years 2016 and 2017 appears below: Product: Titanium Aluminum 2016 2017 2016 2017 Units produced and sold 8,000 11,500 15,000 13,000 Selling pr...
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A firm had a net income before depreciation and taxes of $21,500. If depreciation expense was $3,400 and the firm is in a 35% tax bracket, what was its cash flow?
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If fluctuations in interest rates become smaller, then, other things equal, the demand for stocks _____ and the demand for long-term bonds _____. A. decreases, increases B. increases, increases C. increases, decreases D. decreases, decreases
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Calculate the current in the R2 = 68.0 Ω resistor in the circuit shown in the figure below. (R1 = 56.0 Ω, R3 = 50.0 Ω, and ε = 15.0 V) [PLAIN]
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If an investor buys stock for $50,000 and receives dividends of $10,000 per year for eight years and then sells the stock for $75,000, the rate of return on the investment is _____.
210%
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Laker Corporation reported the following information for 2016: Sales $150,000 Cost of goods sold (90,000) Gross margin 60,000 Operating expenses (30,000) Income before income taxes 30,000 Income taxes expense (8,000) Net income $22,000 Selected balances of Laker Corporation's balance sheets for 2016 and 2015 a...
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Germosen, Inc. uses a standard cost system with direct labor hours (DLHs) as the application base for manufacturing overhead. Results for the year are below. Prior to the start of the year: Standard DLHs per unit: 0.20 Planned Production: 800,000 units Budgeted DLHs (denominator hours): 160,000 DLHs Predetermined ...
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Project X Year 0 1 2 3 4 Cash Flow -$1,000 $400 $400 $400 $400 If the appropriate cost of capital is 12%, what is the MIRR for this project?
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Woolcrest Corporation has provided the following information concerning its single product: Direct materials used $110,000 Direct labor incurred $150,000 Variable manufacturing overhead incurred $17,000 Fixed manufacturing overhead $90,000 Variable selling and administrative expenses $13,500 Fixed selling and adm...
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Lyme Corporation, which uses absorption costing, has provided the following data for 2014: Beginning merchandise inventory $30,000 Purchases $90,000 Ending merchandise inventory $20,000 Manufacturing overhead $420,000 Beginning fixed manufacturing overhead in inventory $10,000 Ending fixed manufacturing overhead ...
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I have a recursive sequence given by $$x_n = \sqrt{\frac{1+x_{n-1}}{2}},\ x_1=0$$ I can easily show that it is increasing, bounded and thus converges with its limit being $1$. But what if I wanted to upper bound $x_{n_0}$ for some fixed $n_0$? This bound should be dependent on $n$. How should I proceed?
1
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What does an R^2 of 0.75 mean in regression analysis? a. 75% of the variation in the dependent variable is explained by the independent variable. b. There is no linear relationship between the dependent and independent variables. c. The relationship between the dependent and independent variables is weak. d. The mo...
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Suppose interest rates on the U.S. 3-month treasury bills decline from 4.75% to 4.5%. This would, other things being equal: A. decrease demand for bonds in the United States. B. increase supply of U.S. dollars in the foreign exchange market. C. increase demand for U.S. exports. D. decrease demand for U.S. exports. ...
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Choose an object you have at hand, such as a book or a cell phone, and determine its percentage composition by mass. Show all your work. For your calculations, round the percentage to the nearest whole number. Include your object's mass in your answer.
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The chairman of California Foods, Inc., is considering a proposal to increase the firm's debt ratio. He has been concerned about the firm's increasing financial leverage as its operating performance has been weak. His desire is to reach a debt ratio of 25% by borrowing funds and repurchasing some of the firm's outstand...
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Find the Taylor series for the function {eq}\ln(1 + 3x) {/eq} at {eq}a = 0 {/eq}. Determine the interval of convergence of the series. (Enter your answer using interval notation.)
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The following data concerning the retail inventory method are taken from the financial records of Welch Company. Cost Retail Beginning inventory $147,000 $210,000 Purchases 672,000 960,000 Freight-in 18,000 - Net markups...
D
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Dynamo Corp. produces annual cash flows of $150 and is expected to exist forever. The company is currently financed with 75% equity and 25% debt. Your analysis tells you that the appropriate discount rates are 10% for the cash flows and 7% for the debt. You currently own 10% of the stock. If Dynamo wishes to change it...
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Which of the following is the most likely for a stock option? A. Premium is higher for in the money options B. Premium is higher for at the money options C. Premium is higher for out of the money options D. Premium is not related to the moneyness of the option
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How large a sample should be taken to ensure that with probability at least 0.95, the margin of error of the estimate is less than 0.005 for the proportion of students who hope to graduate in the next four years, given that in 2016, 72% of all students entering college in the United States initially enrolled in four ye...
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Equivalent units of production are computed by: a. adding beginning inventory and units started and completed during the period. b. adding beginning inventory and units started during the period. c. adding beginning inventory and units in ending inventory. d. multiplying the percentage of completion by the units in...
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The following information was taken from the 2016 financial statements of Franklin Co.: Bonds Payable, January 1, 2016: $800,000 Bonds Payable, December 31, 2016: $1,200,000 During 2016: A $600,000 payment was made to retire bonds payable with a face amount of $800,000. Bonds payable with a face amount of $360,000...
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An Atwood's machine, which has 2 containers are connected by a cord (of negligible mass) passing over a frictionless pulley (also of negligible mass). At time t = 0, container 1 has mass 1.30 kg and container 2 has mass 2.70 kg, but container 1 is losing mass (through a leak) at the constant rate of 0.240 kg/s. At wha...
1.180 m/s^3
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Which of the following should have the higher market value? a) a bond that matures in 6 months or a bond that matures in 6 years b) a bond with a coupon rate of 6% or a bond with a coupon rate of 4% c) a bond that is callable or a noncallable bond d) a bond issued by the US government or a bond issued by IBM e) a ...
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What is the pH of the resulting solution if 50.0 mL of 0.10 M hydrochloric acid is added to 120.0 mL of a buffer solution containing 0.040 M acetic acid and 0.120 M sodium acetate?
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The Flamingo Resort has determined that the number of occupied rooms will decrease by 20 rooms for each 1% increase in the price of a room. When the price of a room is $150, the number of occupied rooms is 400. If the price of a room is increased to $160, what is the total revenue for rooms (in $)? Round your answer to...
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The data given here are a sample of 8 employee credit scores. Use the small-sample t-test and the given population standard deviation of 20.8 to find the 95% confidence interval for the mean credit score. Suppose the population is approximately normal. {eq}597 \ \ 663 \ \ 506 \ \ 539 \ \ 632 \ \ 624 \ \ 527 \ \ 562 {...
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For a binomial random variable X with n = 4 and p = 0.4, what is E[X], the expected value of X?
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An Industry and Business Risk excerpt state that increased competition may lead to lower unit sales, excess production capacity, and excess inventory. This may result in further downward price pressure. The downward price pressure could lead to inventory valued above current market prices or net realizable value. Any...
B
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Use Green's theorem in the vector form: $$\int_C\vec{F}\cdot d\vec{r}=\int \int_{D}\left(\frac{\partial {F_{2}}}{\partial {x}}-\frac{\partial {F_{1}}}{\partial {y}}\right)dA$$ Here $D$ is a positively oriented rectangle with vertices $(0,0),\ (1,0),\ (1,2),\ (0,2)$ and $$\vec{F}(x,y)=x^{2}\vec{i}+(x^{2}y+1)\vec{j}$$ Wh...
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A company has a net operating income of $32,000 and a net operating asset turnover of 2.4. The company's current liability-to-equity ratio is 20%, and its before-tax cost of debt interest is 7%. Its current liabilities are $20,000, and its long-term liabilities are $50,000. (Assume a 40% tax rate.) What is the company...
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The terms of a sale call for a payment of $45,000 now and $15,000 in one year. Determine the present value (PV) of the sale with a discount rate of 10%. a) $60,000 b) $48,720 c) $31,680 d) $45,680
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If the Fed buys a $5,000 government security from a bank when the legal reserve requirement is 10% and the currency drain ratio is 20%, then the bank can lend a maximum of __________. A. $1,000. B. $4,000. C. $3,000. D. $3,500.
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Consider the following game. A fair die is rolled. If the outcome is 1, then the game ends and you win $0. If the outcome is not 1, then you have the option of either stopping the game and receiving an amount equal to that outcome or starting over again. Find your expected return if you employ the strategy of stopping ...
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Evaluate the line integral $\int_{C} xyz^2 \, \mathrm{d}s$, where $C$ is the line segment from $(-2, 2, 0)$ to $(0, 3, 3)$.
-39\sqrt{14}/10
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Equipment costs $12 million. Of this amount, $6 million is the cost of the specific tax depreciation, which is classified as 5-year MACRS property. If the company's tax rate is 40 percent and its discount rate is 13 percent, at the end of 5 years, the equipment will have a residual value of: a. $581,184 b. $1,200,000...
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Evaluate the triple integral {eq}\int \int \int_E 5zdv{/eq}, where E is bounded by the spheres {eq}x^2+y^2+z^2=1{/eq} and {eq}x^2+y^2+z^2=81{/eq} using cylindrical coordinates. Write out the triple integral {eq}\int \int_D \int f(r, \theta, z)rdzdrd\theta{/eq} and evaluate it.
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Aaron has a successful business with $50,000 of income in 2018. He purchased a new 7-year MACRS property with a cost of $7,500. For tax purposes, what is the largest write-off Aaron can obtain in 2018 for the new asset?
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If it takes 12 hours to drain a storage tank by opening the outlet valve, how long will it take to drain the tank by initially opening one inlet valve and then opening another inlet valve after half an hour?
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Dividends of $1.25 per share were paid by their for the last three years. The company expects to maintain their annual 5 percent growth rate in dividends indefinitely. If your required rate of return on the stock is 14 percent, then what is the most you would pay for a share of the company's stock?
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Use the Divergence theorem to find {eq}\iint_S \mathbf F \cdot d\mathbf s {/eq} where {eq}S {/eq} is the closed surface that forms the boundary of the solid {eq}x^2 + y^2 \leq 4; \quad 0 \leq z \leq 3 {/eq} and {eq}\mathbf F {/eq} is the vector field {eq}\mathbf F = \langle x^4, -x^3z^2, 4xy^2z \rangle {/eq}.
0
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Marginal cost: a) results from the law of diminishing returns. b) is the derivative of the total cost curve. c) is the rate of change in average variable cost. d) occurs because of the law of diminishing returns.
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A bond makes annual interest payments of $75. The bond matures in four years, has a par value of $1,000, and sells for $975.30. What is the bond's yield to maturity (YTM)?
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How do I differentiate $t^7e^{-7t}$?
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The per capita (per person) disposable income (in thousands of dollars) for the years 2003-2010 can be approximated by the following formula: y = 0.49x + 10.12 where x = 3 corresponds to 2003, x = 4 corresponds to 2004, and so on. Determine the disposable per capita income for 2005 to the nearest thousand dollars.
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The purpose of managerial accounting is to gather, summarize, and report the cost and revenue data relevant to each decision that is made. a. True. b. False.
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A firm offers its customers 3/5 net 25. What is the effective cost of trade credit to a customer who chooses to pay on day 25? Select one: a. 32.3% b. 65.5% c. 68.4 d. 74.3%
d
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What is the value of the firm's equity if its total assets are $70 million, total debt is $20 million, and shareholders expect a 15% return on their investment?
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The electric field 6.00 cm from a very long charged wire is (2000 {eq}\pm {/eq} 100) N/C {eq}x{/eq} {eq}\hat {i} {/eq}. What is the charge (in nC) on a 1.00-cm-long segment of the wire, in the range {eq}\pm{/eq} 1% ?
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1. A firm has a profit of $200,000; a capital of $1 million; and total depreciation of $100,000. What is the accounting profit? A) $100,000 B) $200,000 C) $300,000 D) $400,000
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Blackwell Computers has bonds outstanding with a par value of $1,000 and a market price of $1,035.76. The yield to maturity is 5.75 percent and the coupon rate is 6 percent. Interest is paid semiannually. How many years is it until this bond matures? a. 14 years b. 16 years c. 17 years d. 12 years e. 15 years
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Determine whether there exists a constant {eq}C{/eq} such that {eq}\int_C 2(x+y)dx - 2(x-y)dy{/eq} for a curve {eq}C{/eq} going from (1,1) to (2,3).
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A common stock priced at $78.56 pays an annual dividend of $2.50 which is expected to grow indefinitely at 5% annually. What is its component cost of capital if it faces a 2% flotation cost?
8.41%
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Assume that a company has $1,000,000 of sales, 70% of which are on account. The average collection period is 45 days, and the variable cost ratio is 75%. The manager is considering a new credit policy to increase sales by 20%. The new policy is expected to increase the average collection period to 60 days while maintai...
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Two infinitely long straight wires with current flow through the plane of the paper in the directions shown in the figure below. The currents are I1 = 14.0 A and I2 = 25.0 A. Point A is a distance A = 0.300 m to the right of the wire with I1 and point B is a distance B = 0.500 m below the wire with I2. A) What is the ...
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Which of the following will reduce Aggregate Demand? a. an increase in the price level, b. a decrease in taxes, c. an increase in net exports, d. an increase in government transfer payments, e. an increase in government spending.
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When the real exchange rate rises, we know that: a. the domestic currency has depreciated. b. exports will increase. c. the terms of trade have risen. d. the current account balance will rise. e. none of the above
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A shaft of diameter 10 mm is required to transmit 10 kW at 1600 r.p.m. Through a bracket 30 mm wide by 20 mm thick and 100 mm long, calculate the stresses in the bracket.
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Consider a complete graph $K_{4}$ with adjacency matrix $A$, and a vertex $a$. A special path is defined as a path of length 4. How many closed special paths starting and ending at vertex $a$ are there in $K_{4}$? The diagonal entries of $A^4$ are given as 21, but a manual count yields 13. Explain the discrepancy.
21
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Woolcrest Corporation's stock has a required rate of return of 10%, and it sells for $35.25 per share. The dividend is expected to grow at a constant rate of g% per year. The company's last dividend was $2.25. Estimate the current yield to maturity on this stock.
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Given the stream function {eq}\psi=8 \;ln\sqrt{(x^2+y^2)}{/eq}, determine the pressure gradient in the horizontal x-direction at the point x=4, y=4.
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A small 200-g lead weight is attached to the end of a 1.00-m long uniform metal rod that has a mass of 150 g. The rod is pivoted on a low friction bearing at its upper end. When displaced through a small angle the rod and lead weight oscillate as a simple harmonic oscillator. Find the period of oscillation.
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You need $134,880 in 6 years. You can achieve this goal if you invest money today at 6% interest compounded annually. How much will you have to invest? (Round the answer to the nearest cent.) Present value = $ 111166.32
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Griggs Corporation, Inc. is in its second year of operations. The following results were reported for its first and second years of operations: Year 1Year 2 Sales$120,000$150,000 Less Variable Expenses$60,000$75,000 Contribution Margin$60,000$75,000 Less Fixed Expenses$40,000$50,000 Operating Income (Loss)$20,000$2...
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How many types of motor nuclei are found within the cord? (a) two, i.e. motor and autonomic (b) three, i.e. motor, sympathetic, and parasympathetic
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Jen is the only supplier of both coffee and donuts in Smalltown. The cost of producing goods is zero. Jen sells coffee for $3 and donuts for $3. In a typical hour, 5 customers buy just one coffee, 4 buy just one donut, and 3 customers buy one of each. The owner finds that those who buy only coffee would also buy a donu...
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The annual dividends of a certain corporation are expected to follow the pattern of $1.00 per share for the next four years, and then $2.00 per share expected indefinitely thereafter. If the market rate of return on stocks of comparable risks to the company's stock is 12%, what is the current value of the stock? a. $...
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What is the maximum and minimum of $f(x,y)=xy$ on the domain $D= \{(x,y) \in \Bbb R^2 | x \ge 0, y \ge 0, x^2+y^2 \leq 1\}$?
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A very long cylinder of radius 2.00 cm carries a uniform linear charge density of 2.20 nC/m. Taking the reference level for the zero of potential to be the surface of the cylinder, find the radius of equipotential surfaces having potentials of - 22.0 V.
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Sweet Acacia Salon has five barbers. Sweet pays each barber $13.90. The barbers work a 40-hour week and a 52-week year, regardless of the number of haircuts. Rent and other fixed expenses are $2,800 per month. The variable cost of supplies is $1 per haircut. Assume the only service performed is the giving of haircuts, ...
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