Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Chapter 5.CR, Problem 19CR
To determine
To find:
The future value for the given condition.
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LARLINALG8 7.1.021.
Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
2 -2 5
0 3 -2
0-1 2
(a) the characteristic equation
(b) the eigenvalues (Enter your answers from smallest to largest.)
(1, 2, 13) =
·( )
a basis for each of the corresponding eigenspaces
X1
x2
=
x3 =
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LARLINALG8 7.1.041.
Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated list.)
λ=
1 0 1
045
002
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12. A sociologist hypothesizes that the crime rate is higher in areas
with higher poverty rate and lower median income. She col-
lects data on the crime rate (crimes per 100,000 residents),
the poverty rate (in %), and the median income (in $1,000s)
from 41 New England cities. A portion of the regression results
is shown in the following table.
Standard
Coefficients
error
t stat
p-value
Intercept
-301.62
549.71
-0.55 0.5864
Poverty
53.16
14.22
3.74 0.0006
Income
4.95
8.26
0.60 0.5526
a.
b.
Are the signs as expected on the slope coefficients?
Predict the crime rate in an area with a poverty rate of
20% and a median income of $50,000.
3. Using data from 50 work
2. The owner of several used-car dealerships believes that the
selling price of a used car can best be predicted using the car's
age. He uses data on the recent selling price (in $) and age of
20 used sedans to estimate Price = Po + B₁Age + ε. A portion
of the regression results is shown in the accompanying table.
Standard
Coefficients
Intercept
21187.94
Error
733.42
t Stat p-value
28.89 1.56E-16
Age
-1208.25
128.95 -9.37
2.41E-08
a. What is the estimate for B₁? Interpret this value.
b. What is the sample regression equation?
C. Predict the selling price of a 5-year-old sedan.
Chapter 5 Solutions
Mathematics: A Practical Odyssey
Ch. 5.1 - In Exercises 1-4, find the number of days....Ch. 5.1 - In Exercises 1-4, find the number of days. a.July1...Ch. 5.1 - In Exercises 1-4, find the number of days....Ch. 5.1 - In Exercises 1-4, find the number of days....Ch. 5.1 - In Exercises 5-10, find the simple interest of the...Ch. 5.1 - In Exercises 5-10, find the simple interest of the...Ch. 5.1 - In Exercises 5-10, find the simple interest of the...Ch. 5.1 - In Exercises 5-10, find the simple interest of the...Ch. 5.1 - In Exercises 5-10, find the simple interest of the...Ch. 5.1 - In Exercises 5-10, find the simple interest of the...
Ch. 5.1 - In Exercises 11-14, find the future value of the...Ch. 5.1 - In Exercises 11-14, find the future value of the...Ch. 5.1 - In Exercises 11-14, find the future value of the...Ch. 5.1 - In Exercises 11-14, find the future value of the...Ch. 5.1 - In Exercises 1520, find the maturity value of the...Ch. 5.1 - In Exercises 15-20, find the maturity value of the...Ch. 5.1 - In Exercises 15-20, find the maturity value of the...Ch. 5.1 - In Exercises 15-20, find the maturity value of the...Ch. 5.1 - In Exercises 15-20, find the maturity value of the...Ch. 5.1 - In Exercise 15-20, find the maturity value of the...Ch. 5.1 - In Exercises 21-26 find the present value of the...Ch. 5.1 - In Exercises 21-26 find the present value of the...Ch. 5.1 - In Exercises 21-26 find the present value of the...Ch. 5.1 - In Exercises 21-26 find the present value of the...Ch. 5.1 - In Exercises 2126 find the present value of the...Ch. 5.1 - In Exercises 2126 find the present value of the...Ch. 5.1 - If you borrow 1,000 at 8.5 interest and the loan...Ch. 5.1 - If you borrow 1,700 at 5.25 interest and the loan...Ch. 5.1 - The Square Wheel Bicycle store has found that they...Ch. 5.1 - Ernie Bilko has a business idea. He wants to rent...Ch. 5.1 - Alice Cohen buys a two-year-old Honda from...Ch. 5.1 - Seven Lundgren buys a three-year-old Chevrolet...Ch. 5.1 - Ray and Teresa Martinez buy a used car from...Ch. 5.1 - Dick Davis buys a five-year-old used Toyota from...Ch. 5.1 - In exercise 3536, use the following information....Ch. 5.1 - In exercise 3536, use the following information....Ch. 5.1 - The activity on Stuart Ratners Visa account for...Ch. 5.1 - The activity on Marny Zells MasterCard account for...Ch. 5.1 - The activity on Denise Hellings Sears account for...Ch. 5.1 - The activity on Charlie Wilsons Visa account for...Ch. 5.1 - Prob. 41ECh. 5.1 - George and Peggy Fulwider bought a house from...Ch. 5.1 - Prob. 43ECh. 5.1 - Sam Needham bought a house from Sheri Silva for...Ch. 5.1 - You have maxed out your credit card and owe 5,000....Ch. 5.1 - You have maxed out your credit card and owe 5,500....Ch. 5.1 - You have maxed out your credit card and owe 5,000....Ch. 5.1 - 46. You have maxed out your credit card and owe...Ch. 5.1 - Could Exercise 512 all be done with the Simple...Ch. 5.1 - Prob. 50ECh. 5.2 - In Exercises 1-6, find the periodic rate that...Ch. 5.2 - In Exercises 1-6, find the periodic rate that...Ch. 5.2 - In Exercises 1-6, find the periodic rate that...Ch. 5.2 - In Exercises 1-6, find the periodic rate that...Ch. 5.2 - In Exercises 1-6, find the periodic rate that...Ch. 5.2 - In Exercises 1-6, find the periodic rate that...Ch. 5.2 - In Exercises7-10, fincl the number of periods that...Ch. 5.2 - In Exercises7-10, fincl the number of periods that...Ch. 5.2 - In Exercises7-10, fincl the number of periods that...Ch. 5.2 - In Exercises7-10, fincl the number of periods that...Ch. 5.2 - In Exercise 11-16, a find and b interpret the...Ch. 5.2 - In Exercise 11-16, a find and b interpret the...Ch. 5.2 - In Exercise 11-16, a find and b interpret the...Ch. 5.2 - In Exercise 11-16, a find and b interpret the...Ch. 5.2 - In Exercise 11-16, a find and b interpret the...Ch. 5.2 - In Exercise 11-16, a find and b interpret the...Ch. 5.2 - In Exercise 17-20, a find and b interpret the...Ch. 5.2 - In Exercise 17-20, a find and b interpret the...Ch. 5.2 - In Exercise 17-20, a find and b interpret the...Ch. 5.2 - In Exercise 17-20, a find and b interpret the...Ch. 5.2 - In the Exercises21 and 22, find and interpret the...Ch. 5.2 - In the Exercises 21 and 22, find and interpret the...Ch. 5.2 - In the Exercise 2326, a find and b interpret the...Ch. 5.2 - In the Exercise 24, find and interpret the present...Ch. 5.2 - In Exercises 23-26, a find and b interpret the...Ch. 5.2 - In Exercises 23-26, a find and b interpret the...Ch. 5.2 - 10,000 is deposited in an account in which it...Ch. 5.2 - 20,000 is deposited in an account in which it...Ch. 5.2 - 15,000 is deposited in an account in which it...Ch. 5.2 - 30,000 is deposited in an account in which it...Ch. 5.2 - Donald Trumptobe decided to build his own dynasty....Ch. 5.2 - How much would Donald Trumptobe in Exercise 31...Ch. 5.2 - Donald Trumptobe in Exercise 31 predicts that in...Ch. 5.2 - Donald Trumptobe in Exercise 31 predicts that in...Ch. 5.2 - When Jason Levy was born, his grandparents...Ch. 5.2 - When Alana Cooper was born, her grandparents...Ch. 5.2 - For Exercises 3740, note the following...Ch. 5.2 - For Exercises 37-40, note the following...Ch. 5.2 - For Exercises 37-40, note the following...Ch. 5.2 - For Exercises 37-40, note the following...Ch. 5.2 - For Exercises 41-46, note the following...Ch. 5.2 - For Exercises 41-46, note the following...Ch. 5.2 - For Exercises 41-46, note the following...Ch. 5.2 - For Exercises 41-46, note the following...Ch. 5.2 - For Exercises 41-46, note the following...Ch. 5.2 - For Exercises 41-46, note the following...Ch. 5.2 - Recently, Bank of the West offered six-month CDs...Ch. 5.2 - Recently, Bank of the West offered six-month CDs...Ch. 5.2 - Prob. 49ECh. 5.2 - Prob. 50ECh. 5.2 - Prob. 51ECh. 5.2 - Prob. 52ECh. 5.2 - Prob. 53ECh. 5.2 - Prob. 54ECh. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Prob. 57ECh. 5.2 - Prob. 58ECh. 5.2 - Prob. 59ECh. 5.2 - Exercises 5762 refer to Benjamin Franklins gift,...Ch. 5.2 - Prob. 61ECh. 5.2 - Prob. 62ECh. 5.2 - Explain how compound interest is based on simple...Ch. 5.2 - Why is there no work involved in finding the...Ch. 5.2 - Why is there no work involved in finding the...Ch. 5.2 - Which should be higher: the annual yield of a...Ch. 5.2 - Why should the annual yield of a given compound...Ch. 5.2 - Explain the difference between simple interest and...Ch. 5.2 - If money earns compound interest, why must the...Ch. 5.2 - Prob. 70ECh. 5.2 - Prob. 71ECh. 5.2 - Prob. 72ECh. 5.2 - Prob. 73ECh. 5.2 - Prob. 75ECh. 5.2 - If 1,000 is deposited into an account that earns 5...Ch. 5.2 - Do the following.Give the number of periods and...Ch. 5.2 - Do the following.Give the number of periods and...Ch. 5.2 - If you invest 10,000 at 8.125 interest compounded...Ch. 5.2 - If you invest 15,000 at 938 interest compounded...Ch. 5.3 - In Exercises 1-14, find the future value of the...Ch. 5.3 - In Exercises 1-14, find the future value of the...Ch. 5.3 - In Exercises 1-14, find the future value of the...Ch. 5.3 - In Exercises 1-14, find the future value of the...Ch. 5.3 - On September 8, Bert Sarkis started an annuity. He...Ch. 5.3 - On August 19, Rachael Westlake started an annuity....Ch. 5.3 - On September 23, Ginny Homer started an annuity....Ch. 5.3 - On September 19, Lynn Alright started an annuity....Ch. 5.3 - Pat Gilbert recently set up a TDA to save for her...Ch. 5.3 - Dick recently set up a TDA to save for his...Ch. 5.3 - Sam Whitney recently set up a TDA to save for his...Ch. 5.3 - Art Dull recently set up a TDA to save for his...Ch. 5.3 - Prob. 13ECh. 5.3 - In exercises 13-18, a find and b interpret the...Ch. 5.3 - In exercises 13-18, a find and b interpret the...Ch. 5.3 - Prob. 16ECh. 5.3 - In exercises 13-18, a find and b interpret the...Ch. 5.3 - In exercises 13-18, a find and b interpret the...Ch. 5.3 - In Exercises 19-24, find the monthly payment that...Ch. 5.3 - In Exercises 19-24, find the monthly payment that...Ch. 5.3 - In Exercise 19-24, find the monthly payment that...Ch. 5.3 - In Exercise 19-24, find the monthly payment that...Ch. 5.3 - In Exercise 19-24, find the monthly payment that...Ch. 5.3 - In Exercise 19-24, find the monthly payment that...Ch. 5.3 - Mr. and Mrs. Gonzales set up a TDA to save for...Ch. 5.3 - Mr. and Mrs. Jackson set up a TDA to save for...Ch. 5.3 - Jeanne and Harold Kimura want to set up a TDA that...Ch. 5.3 - Susan and Bill Stamp want to set up a TDA that...Ch. 5.3 - In June 2004, Susan set up a TDA to save for...Ch. 5.3 - In June 2007, Manuel set up a TDA to save for...Ch. 5.3 - In Exercises 3134, use the following information....Ch. 5.3 - In Exercises 3134, use the following information....Ch. 5.3 - In Exercises 31-34, use the following information....Ch. 5.3 - In Exercises 3134, use the following information....Ch. 5.3 - Toni Torres wants to save 1,200 in the next two...Ch. 5.3 - Fred and Melissa Furths daughter Sally will be a...Ch. 5.3 - Anne Geyer buys some land in Utah. She agrees to...Ch. 5.3 - Chrissy Fields buys some land in Oregon. She...Ch. 5.3 - Develop a new formula for the present value of an...Ch. 5.3 - Use the formula developed in Exercise 39 to find...Ch. 5.3 - Use the formula developed in Exercise 39 to find...Ch. 5.3 - Use the formula developed in Exercise 39 to find...Ch. 5.3 - Use the formula developed in Exercise 39 to find...Ch. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - Prob. 47ECh. 5.3 - Prob. 48ECh. 5.3 - Prob. 49ECh. 5.3 - For those who have completed Section 1.1: Is the...Ch. 5.3 - Answer the following questions using complete...Ch. 5.3 - Answer the following questions using complete...Ch. 5.4 - In Exercises1-6, find a the monthly payment and b...Ch. 5.4 - In Exercises1-6, find a the monthly payment and b...Ch. 5.4 - In Exercises1-6, find a the monthly payment and b...Ch. 5.4 - In Exercises1-6, find a the monthly payment and b...Ch. 5.4 - In Exercises1-6, find a the monthly payment and b...Ch. 5.4 - In Exercises1-6, find a the monthly payment and b...Ch. 5.4 - Wade Ellis buys a new car for 16,113.82. He puts...Ch. 5.4 - Guy dePrimo buys a new car for 9,837.91. He puts...Ch. 5.4 - Chris Burditt bought a house for 212,500. He put...Ch. 5.4 - Shirley Trembley bought a house for 187,600. She...Ch. 5.4 - Dennis Lamenti wants to buy a new car that costs...Ch. 5.4 - Barry Wood wants to buy a used car that costs...Ch. 5.4 - Investigate the effect of the term on simple...Ch. 5.4 - Investigate the effect of the interest rate on...Ch. 5.4 - Investigate the effect of the interest rate on...Ch. 5.4 - Some lenders offer fifteen-year home loans....Ch. 5.4 - Some lenders offer loans with biweekly payments...Ch. 5.4 - Some lenders are now offering loans with biweekly...Ch. 5.4 - Verify a the monthly payments and b the interest...Ch. 5.4 - The home loan in Exercise 19 presented two...Ch. 5.4 - Pool-N-Patio World needs to borrow 75,000 to...Ch. 5.4 - Slopes R Us needs to borrow 120,000 to increase...Ch. 5.4 - The owner of Blue Bottle Coffee is opening a...Ch. 5.4 - The Green Growery Nursery needs to borrow 48,000...Ch. 5.4 - For Exercises 2528, note the following...Ch. 5.4 - For Exercises 25-28, note the following...Ch. 5.4 - For Exercises 25-28, note the following...Ch. 5.4 - For Exercises 25-28, note the following...Ch. 5.4 - Wade Ellis buys a car for 16,113.82. He puts 10...Ch. 5.4 - Guy de Primo buys a car for 9837.91. He puts 10...Ch. 5.4 - Gary Kersting buys a house for 212,500. He puts 20...Ch. 5.4 - Shirley Trembley buys a house for 187,600. She...Ch. 5.4 - Harry and Natalie Wolf have a three-year-old loan...Ch. 5.4 - Russ and Roz Rosow have a ten-year-old loan with...Ch. 5.4 - Michael and Lynn Sullivan have a ten-year-old loan...Ch. 5.4 - Charlie and Ellen Wilson have a...Ch. 5.4 - Ray and Helen Lee bought a house for 189,500. They...Ch. 5.4 - Jack and Laurie Worthington bought a house for...Ch. 5.4 - a. If the Lees in Exercise 37 save for their...Ch. 5.4 - a. If the Worthingtons in Exercise 38 save for...Ch. 5.4 - In July 2005, Tom and Betty bought a house for...Ch. 5.4 - In August 2004, Bonnie Martin bought a house for...Ch. 5.4 - Al-Noor Koorji bought a house for 189,000. He put...Ch. 5.4 - The Franklins bought a house for 265,000. They put...Ch. 5.4 - To get your bachelors degree, you incurred 50,000...Ch. 5.4 - To get your bachelors degree, you incurred 50,000...Ch. 5.4 - Prob. 47ECh. 5.4 - Prob. 48ECh. 5.4 - Prob. 49ECh. 5.4 - Prob. 50ECh. 5.4 - Prob. 51ECh. 5.4 - Prob. 52ECh. 5.4 - Prob. 53ECh. 5.4 - Prob. 54ECh. 5.4 - Prob. 55ECh. 5.4 - This is an exercise in buying a car. It involves...Ch. 5.4 - Trustworthy Savings offers a thirty-year...Ch. 5.4 - American Dream Savings Bank offers a thirty-year...Ch. 5.4 - Bank Two offers a thirty-year adjustable-rate...Ch. 5.4 - Prob. 60ECh. 5.4 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.4 - Prob. 63ECh. 5.4 - Prob. 64ECh. 5.4 - Prob. 65ECh. 5.4 - Prob. 66ECh. 5.4 - Prob. 67ECh. 5.4 - Prob. 68ECh. 5.4 - Prob. 69ECh. 5.4 - Prob. 70ECh. 5.4 - Prob. 71ECh. 5.4 - Prob. 72ECh. 5.5 - Prob. 1ECh. 5.5 - Prob. 2ECh. 5.5 - Prob. 3ECh. 5.5 - Prob. 4ECh. 5.5 - The Roths bought a house for 432,500. They paid...Ch. 5.5 - The Hoblets bought a house for 799,900. They paid...Ch. 5.5 - The Trivedis bought a house for 287,300. They paid...Ch. 5.5 - The Roschunis bought a house for 763,500. They...Ch. 5.5 - Prob. 9ECh. 5.5 - Prob. 10ECh. 5.5 - Prob. 11ECh. 5.5 - Prob. 12ECh. 5.5 - Prob. 13ECh. 5.5 - Prob. 14ECh. 5.5 - Prob. 15ECh. 5.5 - Prob. 16ECh. 5.5 - Prob. 17ECh. 5.5 - Prob. 18ECh. 5.5 - Prob. 19ECh. 5.6 - Cheryl Wilcox is planning for her retirement, so...Ch. 5.6 - Prob. 2ECh. 5.6 - Dean Gooch is planning for his retirement, so he...Ch. 5.6 - Holly Krech is planning for her retirement, so she...Ch. 5.6 - a. How large a monthly payment must Cheryl Wilcox...Ch. 5.6 - Prob. 6ECh. 5.6 - a. How large a monthly payment must Dean Gooch...Ch. 5.6 - a. How large a monthly payment must Holly Krech...Ch. 5.6 - Lily Chang is planning for her retirement, so she...Ch. 5.6 - Wally Brown is planning for his retirement, so he...Ch. 5.6 - Prob. 11ECh. 5.6 - Shelly Franks is planning for her retirement, so...Ch. 5.6 - In Exercises 13-16, use the Annual Payout Annuity...Ch. 5.6 - Prob. 14ECh. 5.6 - Prob. 15ECh. 5.6 - Prob. 16ECh. 5.6 - Bob Pirtle won 1 million in a state lottery. He...Ch. 5.6 - John-Paul Ramin won 2.3million in a state lottery....Ch. 5.6 - Prob. 19ECh. 5.6 - Prob. 20ECh. 5.CR - Find the interest earned by a deposit of 8,140 at...Ch. 5.CR - Find the interest earned by a deposit of 10,620 at...Ch. 5.CR - Prob. 3CRCh. 5.CR - Prob. 4CRCh. 5.CR - Prob. 5CRCh. 5.CR - Prob. 6CRCh. 5.CR - Prob. 7CRCh. 5.CR - Find the present value of a future value of 10,250...Ch. 5.CR - Prob. 9CRCh. 5.CR - Find the future value of a deposit of 7,250 at 514...Ch. 5.CR - Prob. 11CRCh. 5.CR - Prob. 12CRCh. 5.CR - Prob. 13CRCh. 5.CR - Prob. 14CRCh. 5.CR - Prob. 15CRCh. 5.CR - Prob. 16CRCh. 5.CR - Prob. 17CRCh. 5.CR - Prob. 18CRCh. 5.CR - Prob. 19CRCh. 5.CR - Prob. 20CRCh. 5.CR - Prob. 21CRCh. 5.CR - Prob. 22CRCh. 5.CR - The Square Wheel Bicycle store has found that they...Ch. 5.CR - Prob. 24CRCh. 5.CR - The activity on Sue Washburns MasterCard account...Ch. 5.CR - Prob. 26CRCh. 5.CR - Prob. 27CRCh. 5.CR - Prob. 28CRCh. 5.CR - You are 32, and you have just set up an ordinary...Ch. 5.CR - Find and interpret the present value of the...Ch. 5.CR - Prob. 31CRCh. 5.CR - Prob. 32CRCh. 5.CR - Prob. 33CRCh. 5.CR - Prob. 34CRCh. 5.CR - Prob. 35CRCh. 5.CR - Prob. 36CRCh. 5.CR - Prob. 37CRCh. 5.CR - Ben Suico buys a car for 13,487.31. He puts 10...Ch. 5.CR - Prob. 39CRCh. 5.CR - Prob. 40CRCh. 5.CR - Prob. 41CRCh. 5.CR - Fred Rodgers is planning for his retirement, so he...Ch. 5.CR - Prob. 43CRCh. 5.CR - Prob. 44CRCh. 5.CR - Prob. 45CRCh. 5.CR - Prob. 46CRCh. 5.CR - Prob. 47CRCh. 5.CR - Prob. 48CRCh. 5.CR - Prob. 49CR
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- need help with 5 and 6 pleasearrow_forwardian income of $50,000. erty rate of 13. Using data from 50 workers, a researcher estimates Wage = Bo+B,Education + B₂Experience + B3Age+e, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. A portion of the regression results is shown in the following table. ni ogolloo bash 1 Standard Coefficients error t stat p-value Intercept 7.87 4.09 1.93 0.0603 Education 1.44 0.34 4.24 0.0001 Experience 0.45 0.14 3.16 0.0028 Age -0.01 0.08 -0.14 0.8920 a. Interpret the estimated coefficients for Education and Experience. b. Predict the hourly wage rate for a 30-year-old worker with four years of higher education and three years of experience.arrow_forward1. If a firm spends more on advertising, is it likely to increase sales? Data on annual sales (in $100,000s) and advertising expenditures (in $10,000s) were collected for 20 firms in order to estimate the model Sales = Po + B₁Advertising + ε. A portion of the regression results is shown in the accompanying table. Intercept Advertising Standard Coefficients Error t Stat p-value -7.42 1.46 -5.09 7.66E-05 0.42 0.05 8.70 7.26E-08 a. Interpret the estimated slope coefficient. b. What is the sample regression equation? C. Predict the sales for a firm that spends $500,000 annually on advertising.arrow_forward
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