potential energy. What is the mass of the man? Given: Formula: h = 5 m m = PE/gh PE = 2200 J Solution: m = 2200 J / (9.8 m/s2 x 5 m) m = 49 kg 2. Calculate the kinetic energy of a 500 kg car travelling at 50 m/s. Given: Formula: m = 500 kg KE = mv2/2 v = 50 m/s Solution: KE = 500 kg x (50 m/s)2 / 2 KE = 625 000 J Power 3. Riley climbs a flight of stairs in 3 minutes. If he weighs 700 N and the stairs is 20 m from the ground‚ how much power will she develop
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ECE 302 Problem Set 9 Fall 2013 The following problems have been selected from the course text. 4.78 In a large collection of wires‚ the length of a wire is X‚ an exponential random variable with mean 5π cm. Each wire is cut to make rings of diameter 1 cm. Find the probability mass function for the number of complete rings produced by each length of wire. 4.85 The exam grades in a certain class have a Gaussian pdf with mean m and standard deviation σ. Find the constants a and b so that
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GENERAL BIOCHEMISTRY Problem Set No. 1 Answered by: Andrea Rose A. Fajardo of BSFT 2-1N 1. Calculate the pH of a dilute solution that contains a molar ratio of potassium acetate to acetic acid (pKa=4.76) of: a. 2:1 pH = 4.76 + log[2]/[1] = 4.76 + 0.3010 = 5.06 b. 1:4 pH = 4.76 + log[1]/[4] = 4.76 + (-0.6021) = 4.16 c. 6:5 pH = 4.76 + log[6]/[5] = 4.76 + 0.0792
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Econ 214 Problem Set 4 1. What determines whether a financial asset is included in the M1 money supply? Why are interest-earning checkable deposits included in M1‚ whereas interest-earning savings accounts and Treasury bills are not? A financial assest is included in the M1 money supply when it can be quickly converted into the physical form of money‚ such as dollars and coins. Interested-earning checkable deposits are included because it can be quickly accessible without limitations
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32.00 Net income $ 48.00 a. $81.23 b. $85.50 c. $90.00 EBIT $150.00 d. $94.50 Tax Rate 40% e. $99.23 NOPAT=$90.0 2. Tibbs Inc. had the following data for the year ending 12/31/07: Net income = $300; Net operating profit after taxes (NOPAT) = $400; Total assets = $2‚500; Short-term investments = $200; Stockholders’ equity = $1‚800; Total debt = $700; and Total operating
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Problem Set II Problem P9 17: Jack Hammer FV (Table 1) at 11% discount rate 2.00 x .901 = $1.80 2.20 x .802 = $1.79 2.40 x .731 = $1.75 33.00 x .731 = $24.12 -------- $29.46 Problem P9 - 22: Alternative Present Values: Your rich godfather has offered you a choice of one of the three following alternatives: $10‚000 now; $2‚000 a year for eight years; or $24‚000 at the end of eight years. Solution: (first alternative)
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UNIVERSITY OF TORONTO Joseph L. Rotman School of Management RSM332 PROBLEM SET #2 SOLUTIONS 1. (a) Expected returns are: E[RA ] = 0.3 × 0.07 + 0.4 × 0.06 + 0.3 × (−0.08) = 0.021 = 2.1%‚ E[RB ] = 0.3 × 0.14 + 0.4 × (−0.04) + 0.3 × 0.08 = 0.05 = 5%. Variances are: 2 σA = 0.3 × (0.07)2 + 0.4 × (0.06)2 + 0.3 × (0.08)2 − (0.021)2 = 0.004389‚ 2 σB = 0.3 × (0.14)2 + 0.4 × (0.04)2 + 0.3 × (0.08)2 − (0.05)2 = 0.00594. Standard deviations are: √ 0.004389 = 6.625%‚ σA = √ 0.00594 =
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Chapter 9‚ Problem 17 Jack Hammer invests in a stock that will pay dividends of $2.00 at the end of the first year; $2.20 at the end of the second year; and $2.40 at the end of the third year. Also‚ he believes that at the end of the third year he will be able to sell the stock for $33. What is the present value of all future benefits if a discount rate of 11 percent is applied? (Round all values to two places to the right of the decimal point.) Present value of a single amount PV = FV x PVIF
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BE 13.8 Vertical analysis (common-size) percentages for Vallejo Company’s sales‚ cost of goods sold‚ and expenses are listed below: VERTICAL ANALYSIS 2012 2011 2010 Sales 100.0% 100.0% 100.0% Cost of goods sold 60.5 62.9 64.8 Expenses 26.0 26.6 27.5 Net Income 13.5 10.5 7.7 Did Vallejo’s net income as a percent of sales increase‚ decrease‚ or remain unchanged over the 3 year period. Provide numerical support for your answer. Sales – Cost of Goods Sold – Expenses = Net Income 100 – 64.8
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Name: _______________________ Team: _______________________ AP Macro Problem Set #2 Unit 2: Measurement of Economic Performance 1. (_____/15) Article Analysis Read each of these current articles and identify three different concepts we learned that are mentioned. Define and summarize what is being said for each concept that you identify. a. GDP Article (_____/5) b. Unemployment Article (_____/5) c. Inflation Article (_____/5) 2. ( ____/15 Points) Gross Domestic Product a. Define GDP‚ identify what is not included
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