A Survey of Mathematics with Applications (10th Edition) - Standalone book
10th Edition
ISBN: 9780134112107
Author: Allen R. Angel, Christine D. Abbott, Dennis Runde
Publisher: PEARSON
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Chapter 10.6, Problem 1E
In Exercises 1-8, fill in the blanks with an appropriate word, phrase, or symbol(s).
1. An account into which, or out of which, a sequence of scheduled payments is made, is called a(n).
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For each month of the year, Taylor collected the average high temperatures in Jackson, Mississippi. He used the data to create the histogram shown. Which set of data did he use to create the histogram?
A
55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92\ 55,\ 60,\ 64,\ 72,\ 73,\ 75,\ 77,\ 81,\ 83,\ 91,\ 91,\ 92 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92
B
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D
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In this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0
given (under the measure P) by
d.St 0.03 St dt + 0.2 St dwt,
with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to
price an option on this stock (which we name cubic put). This option is European-type, with
maturity 3 months (i.e. T = 0.25 years), and payoff given by
F = (8-5)+
(a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure
Q. (You don't need to prove it, simply give the answer.)
(b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2.
(c) Let X =
S. Find the Stochastic Differential Equation satisfied by the process (Xt)
under the measure Q.
(d) Find an explicit expression for X₁ = S3 under measure Q.
(e) Using the results above, find the price of the cubic put option mentioned above.
(f) Is the price in (e) the same as in question (b)? (Explain why.)
Problem 4. Margrabe formula and the Greeks (20 pts)
In the homework, we determined the Margrabe formula for the price of an option allowing you to
swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility
σ and correlation p, the formula was given by
Fo=yo (d+)-x0Þ(d_),
where
In (±²
Ꭲ
d+
õ√T
and
σ = σ√√√2(1 - p).
дго
(a) We want to determine a "Greek" for ỡ on the option: find a formula for
θα
(b) Is
дго
θα
positive or negative?
(c) We consider a situation in which the correlation p between the two stocks increases: what
can you say about the price Fo?
(d) Assume that yo< xo and p = 1. What is the price of the option?
Chapter 10 Solutions
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Ch. 10.1 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.1 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.1 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.1 - Prob. 4ECh. 10.1 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.1 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.1 - In Exercises 7-14, change the number to a percent....Ch. 10.1 - In Exercises 7-14, change the number to a percent....Ch. 10.1 - In Exercises 7-14, change the number to a percent....Ch. 10.1 - In Exercises 7-14, change the number to a percent....
Ch. 10.1 - Practice the Skills In Exercises 7-14, change the...Ch. 10.1 - Practice the Skills In Exercises 7-14, change the...Ch. 10.1 - Practice the Skills In Exercises 7-14, change the...Ch. 10.1 - Practice the Skills In Exercises 7-14, change the...Ch. 10.1 - In Exercises 15-22, change the number given as a...Ch. 10.1 - Prob. 16ECh. 10.1 - In Exercises 15-22, change the number given as a...Ch. 10.1 - Prob. 18ECh. 10.1 - In Exercises 15-22, change the number given as a...Ch. 10.1 - Prob. 20ECh. 10.1 - In Exercises 15-22, change the number given as a...Ch. 10.1 - Prob. 22ECh. 10.1 - For Exercises 23-26, where appropriate, round...Ch. 10.1 - For Exercises 23-26, where appropriate, round...Ch. 10.1 - For Exercises 23-26, where appropriate, round...Ch. 10.1 - For Exercises 23-26, where appropriate, round...Ch. 10.1 - DVD Collection In Exercises 27-30, use the circle...Ch. 10.1 - DVD Collection In Exercises 27-30, use the circle...Ch. 10.1 - DVD Collection In Exercises 27-30, use the circle...Ch. 10.1 - DVD Collection In Exercises 27-30, use the circle...Ch. 10.1 - Seawater Composition In Exercises 31-34, use the...Ch. 10.1 - Seawater Composition In Exercises 31-34, use the...Ch. 10.1 - Seawater Composition In Exercises 31-34, use the...Ch. 10.1 - Prob. 34ECh. 10.1 - Music Preferences In Exercises 35-38, use the...Ch. 10.1 - Prob. 36ECh. 10.1 - Music Preferences In Exercises 35-38, use the...Ch. 10.1 - Prob. 38ECh. 10.1 - Russian Population The population of Russia has...Ch. 10.1 - U.S. Population Unlike the population of Russia...Ch. 10.1 - U.S. Land Area The graph at the top of the next...Ch. 10.1 - Presidential Salary The following graph shows the...Ch. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - Prob. 44ECh. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - Prob. 48ECh. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - Prob. 50ECh. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - Prob. 52ECh. 10.1 - Prob. 53ECh. 10.1 - Prob. 54ECh. 10.1 - Tax and Tip According to the Original Tipping...Ch. 10.1 - Tax and Tip The Brants dinner (see Exercise 55)...Ch. 10.1 - Percentage of As In a mathematics class, eighteen...Ch. 10.1 - Employee Increase The Fastlock Company hired 57...Ch. 10.1 - Salary Increase Mr. Browns present salary is...Ch. 10.1 - Prob. 60ECh. 10.1 - Vacuum Cleaner Sales A Kirby vacuum cleaner...Ch. 10.1 - Prob. 62ECh. 10.1 - Television Sale The regular price of a Phillips...Ch. 10.1 - Weight Loss On January 1, Juan weighed 235 pounds...Ch. 10.1 - Soccer Ball Markup The cost of a soccer ball to...Ch. 10.1 - Prob. 66ECh. 10.1 - Reselling a Car Quincy purchased a used car for...Ch. 10.1 - Prob. 68ECh. 10.1 - Challenge Problems/Group Activities 69. Comparing...Ch. 10.1 - Prob. 70ECh. 10.1 - Prob. 71ECh. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 9-18, determine the simple interest....Ch. 10.2 - In Exercises 9-18, determine the simple interest....Ch. 10.2 - In Exercises 9-18, determine the simple interest....Ch. 10.2 - In Exercises 9-18, determine the simple interest....Ch. 10.2 - In Exercises 9-18, determine the simple interest....Ch. 10.2 - Practice the Skills In Exercises 9-18, determine...Ch. 10.2 - Practice the Skills In Exercises 9-18, determine...Ch. 10.2 - Practice the Skills In Exercises 9-18, determine...Ch. 10.2 - Practice the Skills In Exercises 9-18, determine...Ch. 10.2 - Prob. 18ECh. 10.2 - In Exercises 19-24, use the simple interest...Ch. 10.2 - Prob. 20ECh. 10.2 - In Exercises 19-24, use the simple interest...Ch. 10.2 - Prob. 22ECh. 10.2 - In Exercises 19-24, use the simple interest...Ch. 10.2 - Prob. 24ECh. 10.2 - Small Business Administration Loan Joshua uses the...Ch. 10.2 - Problem Solving In Exercises 25-32, if necessary...Ch. 10.2 - Bank Personal Note Karen borrowed 3500 from a bank...Ch. 10.2 - Prob. 28ECh. 10.2 - Problem Solving In Exercises 25-32, if necessary...Ch. 10.2 - Prob. 30ECh. 10.2 - Pawning a Bicycle Elisa needs money to repair her...Ch. 10.2 - Prob. 32ECh. 10.2 - In Exercises 33-38, determine the exact time from...Ch. 10.2 - Prob. 34ECh. 10.2 - In Exercises 33-38, determine the exact time from...Ch. 10.2 - Prob. 36ECh. 10.2 - In Exercises 33-38, determine the exact time from...Ch. 10.2 - Prob. 38ECh. 10.2 - In Exercises 39-42, determine the due date of the...Ch. 10.2 - Prob. 40ECh. 10.2 - In Exercises 39-42, determine the due date of the...Ch. 10.2 - Prob. 42ECh. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - Prob. 44ECh. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - Company Loan On March 1, the Zwick Balloon Company...Ch. 10.2 - Flag Company Loan On April 3, the Meats Flag...Ch. 10.2 - Challenge Problems/Group Activities 55. U.S....Ch. 10.2 - Challenge Problems/Group Activities 56. U.S....Ch. 10.2 - Tax Preparation Loan Many tax preparation...Ch. 10.2 - Prime Interest Rate Nick borrowed 600 for 3...Ch. 10.2 - Bankers Rule The Bankers rule considers a year to...Ch. 10.2 - Columbus Investment On August 3, 1492, Christopher...Ch. 10.3 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.3 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.3 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.3 - Prob. 4ECh. 10.3 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.3 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Prob. 8ECh. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Prob. 14ECh. 10.3 - In Exercises 15-18, use the present value formula...Ch. 10.3 - In Exercises 15-18, use the present value formula...Ch. 10.3 - In Exercises 15-18, use the present value formula...Ch. 10.3 - In Exercises 15-18, use the present value formula...Ch. 10.3 - Inheritance Marcus receives an inheritance of...Ch. 10.3 - Contest Winnings Mary wins 2500 in a singing...Ch. 10.3 - Class Trip To help pay for a class trip at the end...Ch. 10.3 - Investing Prize Winnings Marcella wins third prize...Ch. 10.3 - House Down Payment Karen invested 10,000 in a...Ch. 10.3 - Investing a Signing Bonus Joe just started a new...Ch. 10.3 - Personal Loan Brent borrowed 3000 from his brother...Ch. 10.3 - Prob. 26ECh. 10.3 - Investing Gifts and Scholarships Cliff just...Ch. 10.3 - Prob. 28ECh. 10.3 - Determining Effective Annual Yield Determine the...Ch. 10.3 - Prob. 30ECh. 10.3 - Money Market Choice Prospero Bank advertises a...Ch. 10.3 - Prob. 32ECh. 10.3 - Verifying APY Suppose you saw a sign at your local...Ch. 10.3 - Prob. 34ECh. 10.3 - Saving for a Tractor Jim wants to invest some...Ch. 10.3 - Prob. 36ECh. 10.3 - A New Car Adam wishes to have 20,000 available in...Ch. 10.3 - Prob. 38ECh. 10.3 - A New Water Tower The village of Kieler recently...Ch. 10.3 - Prob. 40ECh. 10.3 - Doubling the Rate Determine the total amount and...Ch. 10.3 - Prob. 42ECh. 10.3 - Interest Comparison You are given a choice of...Ch. 10.3 - Prob. 44ECh. 10.3 - Determining the Interest Rate For a total...Ch. 10.3 - Prob. 46ECh. 10.3 - Prob. 47ECh. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 7-10, determine the monthly payment...Ch. 10.4 - In Exercises 7-10, determine the monthly payment...Ch. 10.4 - In Exercises 7-10, determine the monthly payment...Ch. 10.4 - In Exercises 7-10, determine the monthly payment...Ch. 10.4 - Business Loan Brenda is a beautician who is...Ch. 10.4 - A New Air Conditioner Juan paid 7000 for a new...Ch. 10.4 - Financing a New Roof Jaime needs a new roof on her...Ch. 10.4 - Financing a Computer llga purchased a new computer...Ch. 10.4 - Boat Loan Keenan is purchasing a new boat that...Ch. 10.4 - Financing Furniture Mr. and Mrs. Chan want to buy...Ch. 10.4 - Early Repayment of a Loan Ray took out a 60-month...Ch. 10.4 - Early Repayment of a Loan Jeslie Ann has a...Ch. 10.4 - Early Repayment of a Loan Nina buys a new sport...Ch. 10.4 - Early Repayment of a Loan Jeff buys a new...Ch. 10.4 - Credit Card Minimum Monthly Payment Shiings credit...Ch. 10.4 - Credit Card Minimum Monthly Payment Evelyns credit...Ch. 10.4 - Business Expenses Kevins credit card company...Ch. 10.4 - Prob. 24ECh. 10.4 - Previous Balance Method On the November 4 billing...Ch. 10.4 - Previous Balance Method On September 5, the...Ch. 10.4 - Previous Balance Method On February 3, the billing...Ch. 10.4 - Prob. 28ECh. 10.4 - Average Daily Balance Method The balance on the...Ch. 10.4 - Prob. 30ECh. 10.4 - Average Daily Balance Method Refer to Exercise 27....Ch. 10.4 - Prob. 32ECh. 10.4 - A Cash Advance John borrowed 875 against his...Ch. 10.4 - Prob. 34ECh. 10.4 - Comparing Loan Sources Grisha needs to borrow 1000...Ch. 10.4 - Prob. 36ECh. 10.4 - Prob. 37ECh. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Repayment Comparisons Christine took a world...Ch. 10.5 - In Exercises 1-6, fill in the blanks with an...Ch. 10.5 - In Exercises 1-6, fill in the blanks with an...Ch. 10.5 - In Exercises 1-6, fill in the blanks with an...Ch. 10.5 - Prob. 4ECh. 10.5 - In Exercises 1-6, fill in the blanks with an...Ch. 10.5 - In Exercises 1-6, fill in the blanks with an...Ch. 10.5 - In Exercises 7-10, determine the monthly principal...Ch. 10.5 - In Exercises 7-10, determine the monthly principal...Ch. 10.5 - In Exercises 7-10, determine the monthly principal...Ch. 10.5 - In Exercises 7-10, determine the monthly principal...Ch. 10.5 - Buying a House Anna is buying a house selling for...Ch. 10.5 - Buying a Condominium Toni is buying a condominium...Ch. 10.5 - Buying a Brownstone Townhouse Felix is purchasing...Ch. 10.5 - Buying a First House The Firszts are purchasing...Ch. 10.5 - Paying Points Martha is buying a house selling for...Ch. 10.5 - Prob. 16ECh. 10.5 - Qualifying for a Mortgage The Guenthers gross...Ch. 10.5 - Prob. 18ECh. 10.5 - A 30-Year Conventional Mortgage Ingrid obtains a...Ch. 10.5 - A 25-Year Conventional Mortgage The Bells obtain a...Ch. 10.5 - Evaluating a Loan Request The Nejems found a house...Ch. 10.5 - Evaluating a Loan Request Kathy wants to buy a...Ch. 10.5 - Comparing Loans The Riveras are negotiating with...Ch. 10.5 - Prob. 24ECh. 10.5 - An Adjustable Rate Mortgage The Bhatts purchased a...Ch. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Comparing Payment Frequency Janet is purchasing a...Ch. 10.5 - Prob. 29ECh. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 9-12, use the ordinary annuity...Ch. 10.6 - In Exercises 9-12, use the ordinary annuity...Ch. 10.6 - In Exercises 9-12, use the ordinary annuity...Ch. 10.6 - In Exercises 9-12, use the ordinary annuity...Ch. 10.6 - In Exercises 13-16, use the sinking fund formula...Ch. 10.6 - Prob. 14ECh. 10.6 - In Exercises 13-16, use the sinking fund formula...Ch. 10.6 - Prob. 16ECh. 10.6 - In Exercises 1720, round all answers to the...Ch. 10.6 - Prob. 18ECh. 10.6 - In Exercises 1720, round all answers to the...Ch. 10.6 - Prob. 20ECh. 10.6 - In Exercises 2124, round all answers up to the...Ch. 10.6 - Prob. 22ECh. 10.6 - In Exercises 2124, round all answers up to the...Ch. 10.6 - Prob. 24ECh. 10.6 - Dont Wait to Invest The purpose of this exercise...Ch. 10 - In Exercises 16, change the number to a percent....Ch. 10 - In Exercises 16, change the number to a percent....Ch. 10 - In Exercises 16, change the number to a percent....Ch. 10 - In Exercises 16, change the number to a percent....Ch. 10 - In Exercises 16, change the number to a percent....Ch. 10 - Prob. 6RECh. 10 - In Exercises 712, change the percent to a decimal...Ch. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - In Exercises 712, change the percent to a decimal...Ch. 10 - In Exercises 712, change the percent to a decimal...Ch. 10 - Prob. 12RECh. 10 - Salary Increase Charlotte had a salary of 41,500...Ch. 10 - Calorie Decrease Until he began his new wellness...Ch. 10 - Prob. 15RECh. 10 - In Exercises 1517, solve for the unknown quantity....Ch. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Increased Membership If the number of people in...Ch. 10 - Jelly Beans A jar contains 1050 jelly beans. 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- The Course Name Real Analysis please Solve questions by Real Analysisarrow_forwardWe consider a 4-dimensional stock price model given (under P) by dẴ₁ = µ· Xt dt + йt · ΣdŴt where (W) is an n-dimensional Brownian motion, π = (0.02, 0.01, -0.02, 0.05), 0.2 0 0 0 0.3 0.4 0 0 Σ= -0.1 -4a За 0 0.2 0.4 -0.1 0.2) and a E R. We assume that ☑0 = (1, 1, 1, 1) and that the interest rate on the market is r = 0.02. (a) Give a condition on a that would make stock #3 be the one with largest volatility. (b) Find the diversification coefficient for this portfolio as a function of a. (c) Determine the maximum diversification coefficient d that you could reach by varying the value of a? 2arrow_forwardQuestion 1. Your manager asks you to explain why the Black-Scholes model may be inappro- priate for pricing options in practice. Give one reason that would substantiate this claim? Question 2. We consider stock #1 and stock #2 in the model of Problem 2. Your manager asks you to pick only one of them to invest in based on the model provided. Which one do you choose and why ? Question 3. Let (St) to be an asset modeled by the Black-Scholes SDE. Let Ft be the price at time t of a European put with maturity T and strike price K. Then, the discounted option price process (ert Ft) t20 is a martingale. True or False? (Explain your answer.) Question 4. You are considering pricing an American put option using a Black-Scholes model for the underlying stock. An explicit formula for the price doesn't exist. In just a few words (no more than 2 sentences), explain how you would proceed to price it. Question 5. We model a short rate with a Ho-Lee model drt = ln(1+t) dt +2dWt. Then the interest rate…arrow_forward
- In this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forward3. Consider the polynomial equation 6-iz+7z² - iz³ +z = 0 for which the roots are 3i, -2i, -i, and i. (a) Verify the relations between this roots and the coefficients of the polynomial. (b) Find the annulus region in which the roots lie.arrow_forwardThe managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c. Question content area bottom Part 1 a. Develop a simple linear regression model between billable hours and overhead costs. Overhead Costsequals=212495.2212495.2plus+left parenthesis 42.4857 right parenthesis42.485742.4857times×Billable Hours (Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed. Do not include the $ symbol in your answers.) Part 2 b. Interpret the coefficients of your regression model. Specifically, what does the fixed component of the model mean to the consulting firm? Interpret the fixed term, b 0b0, if appropriate. Choose the correct answer below. A. The value of b 0b0 is the predicted billable hours for an overhead cost of 0 dollars. B. It is not appropriate to interpret b 0b0, because its value…arrow_forward
- 3. Consider the polynomial equation 6-iz+7z2-iz³ +z = 0 for which the roots are 3i, -2i, -i, and i. (a) Verify the relations between this roots and the coefficients of the polynomial. (b) Find the annulus region in which the roots lie.arrow_forwardWrite the equation of the trigonometric function shown in the graph. LO 5 4 3 2 1 y -5 -5 4 8 8 500 -1 -2 -3 -4 -5 x 5 15л 5л 25л 15л 35π 5л 4 8 2 8 4 8arrow_forwardc) Using only Laplace transforms solve the following Samuelson model given below i.e., the second order difference equation (where yt is national income): - Yt+2 6yt+1+5y₁ = 0, if y₁ = 0 for t < 0, and y₁ = 0, y₁ = 1 1-e-s You may use without proof that L-1[s(1-re-s)] = f(t) = r² for n ≤tarrow_forward5. 156 m/WXY = 59° 63 E 7. B E 101 C mFE = 6. 68° 8. C 17arrow_forwardScoring: MATH 15 FILING /10 COMPARISON /10 RULER I 13 Express EMPLOYMENT PROFESSIONALS NAME: SKILLS EVALUATION TEST- Light Industrial MATH-Solve the following problems. (Feel free to use a calculator.) DATE: 1. If you were asked to load 225 boxes onto a truck, and the boxes are crated, with each crate containing nine boxes, how many crates would you need to load? 2. Imagine you live only one mile from work and you decide to walk. If you walk four miles per hour, how long will it take you to walk one mile? 3. Add 3 feet 6 inches + 8 feet 2 inches + 4 inches + 2 feet 5 inches. 4. In a grocery store, steak costs $3.85 per pound. If you buy a three-pound steak and pay for it with a $20 bill, how much change will you get? 5. Add 8 minutes 32 seconds + 37 minutes 18 seconds + 15 seconds. FILING - In the space provided, write the number of the file cabinet where the company should be filed. Example: File Cabinet #4 Elson Co. File Cabinets: 1. Aa-Bb 3. Cg-Dz 5. Ga-Hz 7. La-Md 9. Na-Oz 2. Bc-Cf…arrow_forwardpart 3 of the question is: A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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