Mathematical Ideas (13th Edition) - Standalone book
13th Edition
ISBN: 9780321977076
Author: Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren
Publisher: PEARSON
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Textbook Question
Chapter 13.1, Problem 65E
Estimating Future Prices for Constant Annual Inflation The year 2014 prices of several items are given below. Find the estimated future prices required to fill the blanks in the chart. (Give a number of significant figures consistent with the 2014 price figures provided.)
Item | 2014 Price | 2020 Price2%Inflation | 2030 Price2%Inflation | 2020 Price 10%Inflation | 2030 Price10%Inflation | ||||
New car | $30,500 | ||||||||
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Suppose admission to a movie cost $7.50 in 2005. What
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risen at the same rate as the CPI.
The price was about $ in 1979.
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Average Annual Consumer Price Index (CPI) (1982-
1984=100)
Year
CPI Year CPI
Year CPI
1976 56.9
1989 124.0
2001 177.1
1977 60.6 1990 130.7
2002
179.9
2003
184.0
1978 65.2 1991 136.2
1992
1979
72.6
140.3
2004
188.9
1980
82.4
1993 144.5
2005
90.9 1994 148.2 2006
2007
1981
1982 96.5
1983 99.6
1984 103.9
1985 107.6
1995 152.4
1996 156.9
2008
1997 160.5
2009
1998 163.0
2010
1986 109.6 1999 166.6
2011
1987
113.6 2000 172.2
2012
1988
118.3
195.3
201.6
207.3
215.3
214.5
218.1
224.9
229.6
Total spending on health care in a certain region rose from $881 million in 1977 to $941 billion in 2007. Compare this rise in health care spending to the overall rate of
inflation as measured by the Consumer Price Index.
Click the icon to view the Average Annual Consumer Price Index.
Health care spending increased by %.
(Round to the nearest percent as needed.)
Average Annual Consumer Price Index (1982-1984-100
Year
CPI
Year
CPI
Year
CPI
1976
56.9
1987
113.6
1998
163.0
166.6
1977
60.6
1988
118.3
1999
1978
65.2
1989
124.0
2000
172.2
130.7
136.2
2001
2002
1979
72.6
1990
177.1
1980
1981
82.4
1991
179.9
140.3
2003
2004
90.9
1992
184.0
144.5
148.2
188.9
195.3
201.6
1982
96.5
1993
99.6
103.9
2005
2006
1983
1994
1984
1995
152.4
2007 207.3
2008
215.3
1996
156.9
107.6
109.6
1985
1986
1997
160.5
Print
Done
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Nominal income refers to an income value that is not adjusted for inflation. Real income adjusts the nominal value for the rate of inflation. Real income per capita is considered a good measure of the buying power of an individual in a particular area because it adjusts for both the number of people in the area and the relative inflation of the area. According to Forbes magazine, the state with the highest annual real income per capita in 2020 is Connecticut with a real per capita income of $68,533. Suppose that the annual real income of individuals in Connecticut follows a normal distribution with a mean of $68,533 and standard deviation of $23,480.
(a) What is the probability that an individual in Connecticut has an annual real income of $54,000 or more? (Round your answer to four decimal places.)
(b)
What is the probability that an individual in Connecticut has an annual real income of $29,000 or less? (Round your answer to four decimal places.)
(c)
What is the probability…
Chapter 13 Solutions
Mathematical Ideas (13th Edition) - Standalone book
Ch. 13.1 - In the following exercises, assume whenever...Ch. 13.1 - In the following exercises, assume whenever...Ch. 13.1 - In the following exercises, assume whenever...Ch. 13.1 - In the following exercises, assume whenever...Ch. 13.1 - In the following exercises, assume whenever...Ch. 13.1 - In the following exercises, assume whenever...Ch. 13.1 - Find the future value of each deposit if the...Ch. 13.1 - Find the future value of each deposit if the...Ch. 13.1 - Find the future value of each deposit if the...Ch. 13.1 - Find the future value of each deposit if the...
Ch. 13.1 - Solve each interest-related problem.
11. Simple...Ch. 13.1 - Solve each interest-related problem. Simple...Ch. 13.1 - Solve each interest-related problem.
13. Simple...Ch. 13.1 - Solve each interest-related problem.
14. Simple...Ch. 13.1 - Find the missing final amount (future value)...Ch. 13.1 - Find the missing final amount (future value)...Ch. 13.1 - Find the missing final amount (future value)...Ch. 13.1 - Find the missing final amount (future value)...Ch. 13.1 - Find the missing final amount (future value)...Ch. 13.1 - Find the missing final amount (future value)...Ch. 13.1 - For each deposit, find the future value (that is,...Ch. 13.1 - For each deposit, find the future value (that is,...Ch. 13.1 - For each deposit, find the future value (that is,...Ch. 13.1 - For each deposit, find the future value (that is,...Ch. 13.1 - Occasionally a savings account may actually pay...Ch. 13.1 - Occasionally a savings account may actually pay...Ch. 13.1 - Occasionally a savings account may actually pay...Ch. 13.1 - Solve each interest-related problem. Finding the...Ch. 13.1 - Solve each interest-related problem. Finding the...Ch. 13.1 - Solve each interest-related problem. In the...Ch. 13.1 - Find the present value for each future amount....Ch. 13.1 - Find the present value for each future amount....Ch. 13.1 - Prob. 33ECh. 13.1 - Find the present value for each future amount.
34....Ch. 13.1 - Finding the Present Value of a Compound Interest...Ch. 13.1 - Finding the Present Value of a Compound Interest...Ch. 13.1 - Finding the Present Value of a Compound Interest...Ch. 13.1 - Finding the Present Value of a Compound Interest...Ch. 13.1 - Finding the Effective Annual Yield in a Savings...Ch. 13.1 - Finding the Effective Annual Yield in a Savings...Ch. 13.1 - Finding the Effective Annual Yield in a Savings...Ch. 13.1 - Finding the Effective Annual Yield in a Savings...Ch. 13.1 - Finding the Effective Annual Yield in a Savings...Ch. 13.1 - Finding the Effective Annual Yield in a Savings...Ch. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.1 - Prob. 47ECh. 13.1 - Prob. 48ECh. 13.1 - Prob. 49ECh. 13.1 - Prob. 50ECh. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Comparing Bank Savings Rates Bank A pays a nominal...Ch. 13.1 - Prob. 54ECh. 13.1 - Prob. 55ECh. 13.1 - Prob. 56ECh. 13.1 - Prob. 57ECh. 13.1 - Estimating the Inflation Rate by the Rule of 70...Ch. 13.1 - Estimating the Inflation Rate by the Rule of 70...Ch. 13.1 - Estimating the Inflation Rate by the Rule of 70...Ch. 13.1 - Estimating the Inflation Rate by the Rule of 70...Ch. 13.1 - Prob. 62ECh. 13.1 - Prob. 63ECh. 13.1 - Prob. 64ECh. 13.1 - Estimating Future Prices for Constant Annual...Ch. 13.1 - Estimating Future Prices for Constant Annual...Ch. 13.1 - Item Price Year Purchased Price in 2013
Evening...Ch. 13.1 - Estimating Future Prices for Variable Annual...Ch. 13.1 - Estimating Future Prices for Variable Annual...Ch. 13.1 - Estimating Future Prices for Variable Annual...Ch. 13.1 - Prob. 71ECh. 13.1 - Prob. 72ECh. 13.2 - Round all monetary answers to the nearest cent...Ch. 13.2 - Round all monetary answers to the nearest cent...Ch. 13.2 - Round all monetary answers to the nearest cent...Ch. 13.2 - Round all monetary answers to the nearest cent...Ch. 13.2 - Round all monetary answers to the nearest cent...Ch. 13.2 - Financing a New Car Purchase Suppose you want to...Ch. 13.2 - Financing a New Car Purchase Suppose you want to...Ch. 13.2 - Financing a New Car Purchase Suppose you want to...Ch. 13.2 - Financing a New Car Purchase Suppose you want to...Ch. 13.2 - Financing a New Car Purchase Suppose you want to...Ch. 13.2 - In Exercises 11-16, use the add-on method of...Ch. 13.2 - In Exercises 11-16, use the add-on method of...Ch. 13.2 - In Exercises 11-16, use the add-on method of...Ch. 13.2 - In Exercises 11-16, use the add-on method of...Ch. 13.2 - In Exercises 11-16, use the add-on method of...Ch. 13.2 - In Exercises 11-16, use the add-on method of...Ch. 13.2 - Work each problem.
17. Finding the Monthly Payment...Ch. 13.2 - Work each problem. Finding the Monthly Payment for...Ch. 13.2 - Work each problem.
19. Finding the Monthly Payment...Ch. 13.2 - Work each problem.
20. Finding the Monthly Payment...Ch. 13.2 - Work each problem.
21. Finding the Amount Borrowed...Ch. 13.2 - Work each problem.
22. Finding an Add-On Interest...Ch. 13.2 - Work each problem. Finding the Term of an Add-On...Ch. 13.2 - Work each problem.
24. Finding the Number of...Ch. 13.2 - Finding Finance Charges Find the finance charge...Ch. 13.2 - Finding Finance Charges Find the finance charge...Ch. 13.2 - Finding Finance Charges Find the finance charge...Ch. 13.2 - Finding Finance Charges Find the finance charge...Ch. 13.2 - Finding Finance Charges Find the finance charge...Ch. 13.2 - Finding Finance Charges Find the finance charge...Ch. 13.2 - Finding Finance Charges and Account Balances Using...Ch. 13.2 - Finding Finance Charges and Account Balances Using...Ch. 13.2 - Finding Finance Charges and Account Balances Using...Ch. 13.2 - Finding Finance Charges and Account Balances Using...Ch. 13.2 - Finding Finance Charges In Exercises 35 and 36,...Ch. 13.2 - Prob. 36ECh. 13.2 - Prob. 37ECh. 13.2 - Prob. 38ECh. 13.2 - Prob. 39ECh. 13.2 - Prob. 40ECh. 13.2 - Prob. 41ECh. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - Write out your response to each of the...Ch. 13.2 - Prob. 45ECh. 13.2 - Prob. 46ECh. 13.2 - Prob. 47ECh. 13.2 - Recall a car-buying experience you have had, or...Ch. 13.2 - Prob. 49ECh. 13.2 - Comparing Bank Card Accounts Ruby is considering...Ch. 13.3 - Round all monetary answers to the nearest cent...Ch. 13.3 - Round all monetary answers to the nearest cent...Ch. 13.3 - Round all monetary answers to the nearest cent...Ch. 13.3 - Round all monetary answers to the nearest cent...Ch. 13.3 - Finding the Monthly PaymentFind the monthly...Ch. 13.3 - Finding the Monthly PaymentFind the monthly...Ch. 13.3 - Finding the Monthly Payment Find the monthly...Ch. 13.3 - Finding the Monthly Payment Find the monthly...Ch. 13.3 - Finding True Annual Interest Rate Find the APR...Ch. 13.3 - Finding True Annual Interest Rate Find the APR...Ch. 13.3 - Finding True Annual Interest Rate Find the APR...Ch. 13.3 - Finding True Annual Interest Rate Find the APR...Ch. 13.3 - Unearned Interest by the Actuarial Method Each...Ch. 13.3 - Unearned Interest by the Actuarial Method Each...Ch. 13.3 - Unearned Interest by the Actuarial Method Each...Ch. 13.3 - Unearned Interest by the Actuarial Method Each...Ch. 13.3 - Finding Finance Charge and True Annual Interest...Ch. 13.3 - Finding Finance Charge and True Annual Interest...Ch. 13.3 - Finding Finance Charge and True Annual Interest...Ch. 13.3 - Finding Finance Charge and True Annual Interest...Ch. 13.3 - Comparing the Actuarial Method and the Rule of 78...Ch. 13.3 - Comparing the Actuarial Method and the Rule of 78...Ch. 13.3 - Comparing the Actuarial Method and the Rule of 78...Ch. 13.3 - Comparing the Actuarial Method and the Rule of 78...Ch. 13.3 - Unearned Interest by the Actuarial Method Each...Ch. 13.3 - Unearned Interest by the Actuarial Method Each...Ch. 13.3 - Comparing Loan Choices Phan needs to borrow $5000...Ch. 13.3 - Comparing Loan Choices Phan needs to borrow $5000...Ch. 13.3 - Comparing Loan Choices Phan needs to borrow $5000...Ch. 13.3 - Comparing Loan Choices Phan needs to borrow $5000...Ch. 13.3 - Comparing Loan Choices Phan needs to borrow $5000...Ch. 13.3 - 32.Describe why, in Example 1, the APR and the...Ch. 13.3 - Approximating the APR of an Add-On Rate To convert...Ch. 13.3 - Approximating the APR of an Add-On Rate To convert...Ch. 13.3 - The Rule of 78 with Prepayment Penalty A certain...Ch. 13.3 - The Rule of 78 with Prepayment Penalty A certain...Ch. 13.3 - The Rule of 78 with Prepayment Penalty A certain...Ch. 13.3 - The Rule of 78 with Prepayment Penalty A certain...Ch. 13.3 - Write out your response to each exercise.
39. Why...Ch. 13.3 - Prob. 40ECh. 13.3 - Prob. 41ECh. 13.3 - Write out your response to each exercise.
42....Ch. 13.3 - Write out your response to each exercise. Find the...Ch. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - Prob. 46ECh. 13.4 - Monthly Payment on a Fixed-Rate Mortgage Find the...Ch. 13.4 - Monthly Payment on a Fixed-Rate Mortgage Find the...Ch. 13.4 - Monthly Payment on a Fixed-Rate Mortgage Find the...Ch. 13.4 - Monthly Payment on a Fixed-Rate Mortgage Find the...Ch. 13.4 - Monthly Payment on a Fixed-Rate Mortgage Find the...Ch. 13.4 - Monthly Payment on a Fixed-Rate Mortgage Find the...Ch. 13.4 - Monthly Payment on a Fixed-Rate Mortgage Find the...Ch. 13.4 - Monthly Payment on a Fixed-Rate Mortgage Find the...Ch. 13.4 - Amortization of a Fixed-Rate Mortgage Complete the...Ch. 13.4 - Amortization of a Fixed-Rate Mortgage Complete the...Ch. 13.4 - Mortgage: $143,200 Amortization Schedule Interest...Ch. 13.4 - Mortgage: $124,750 Amortization...Ch. 13.4 - Prob. 13ECh. 13.4 - Mortgage: $150,000 Interest rate: 4.25% Term of...Ch. 13.4 - Finding Monthly Mortgage Payments Find the total...Ch. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Finding Monthly Mortgage Payment Find the total...Ch. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - Comparing Total Principal and Interest on a...Ch. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Prob. 25ECh. 13.4 - Prob. 26ECh. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Long-Term Effect of Interest Rates You may...Ch. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - The Effect of the Term on Total Amount Paid...Ch. 13.4 - The Effect of the Term on Total Amount Paid...Ch. 13.4 - Prob. 39ECh. 13.4 - Prob. 40ECh. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.4 - The Effect of Rate Caps on Adjustable-Rate...Ch. 13.4 - Prob. 45ECh. 13.4 - Prob. 46ECh. 13.4 - Prob. 47ECh. 13.4 - Prob. 48ECh. 13.4 - Prob. 49ECh. 13.4 - Prob. 50ECh. 13.4 - Prob. 51ECh. 13.4 - Prob. 52ECh. 13.4 - Prob. 53ECh. 13.4 - Prob. 54ECh. 13.4 - Prob. 55ECh. 13.4 - Exercises 55 and 56 refer to the When Will I Ever...Ch. 13.4 - Prob. 57ECh. 13.4 - Prob. 58ECh. 13.4 - Prob. 59ECh. 13.4 - Prob. 60ECh. 13.4 - Prob. 61ECh. 13.4 - Prob. 62ECh. 13.4 - Prob. 63ECh. 13.4 - On the basis of material in this section, or your...Ch. 13.5 - Refer to the stock table (Table 14 on page 749)...Ch. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - Prob. 4ECh. 13.5 - Prob. 5ECh. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - Prob. 10ECh. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - Prob. 13ECh. 13.5 - Prob. 14ECh. 13.5 - Finding Stock Costs Find the basic cost (ignoring...Ch. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Finding Stock Costs Find the cost, at the day's...Ch. 13.5 - Prob. 19ECh. 13.5 - Prob. 20ECh. 13.5 - Finding Stock Costs Find the cost, at the day's...Ch. 13.5 - Prob. 22ECh. 13.5 - Prob. 23ECh. 13.5 - Finding Stock Costs Find the cost, at the day's...Ch. 13.5 - Prob. 25ECh. 13.5 - Prob. 26ECh. 13.5 - Finding Receipts for Stock Sales Find the amount...Ch. 13.5 - Prob. 28ECh. 13.5 - Prob. 29ECh. 13.5 - Finding Receipts for Stock Sales Find the amount...Ch. 13.5 - Finding Receipts for Stock Sales Find the amount...Ch. 13.5 - Prob. 32ECh. 13.5 - Finding Net Results of Combined Transactions For...Ch. 13.5 - Finding Net Results of Combined Transactions For...Ch. 13.5 - Prob. 35ECh. 13.5 - Costs and Returns of Stock Investments For each of...Ch. 13.5 - Prob. 37ECh. 13.5 - Prob. 38ECh. 13.5 - Total Return on Bond Investments Find the total...Ch. 13.5 - Prob. 40ECh. 13.5 - Prob. 41ECh. 13.5 - Total Return on Bond Investments Find the total...Ch. 13.5 - Net Asset Value of a Mutual Fund For each...Ch. 13.5 - Prob. 44ECh. 13.5 - Net Asset Value of a Mutual Fund For each...Ch. 13.5 - Prob. 46ECh. 13.5 - Prob. 47ECh. 13.5 - Finding Monthly and Annual Investment Returns For...Ch. 13.5 - Prob. 49ECh. 13.5 - Prob. 50ECh. 13.5 - Effective Annual Rate of Return of Mutual Fund...Ch. 13.5 - Prob. 52ECh. 13.5 - Prob. 53ECh. 13.5 - Effective Annual Rate of Return of Mutual Fund...Ch. 13.5 - Prob. 55ECh. 13.5 - Prob. 56ECh. 13.5 - Inflation-Adjusted Retirement Accounts Find the...Ch. 13.5 - Prob. 58ECh. 13.5 - Prob. 59ECh. 13.5 - The Effect of Tax Deferral on Retirement Accounts...Ch. 13.5 - Prob. 61ECh. 13.5 - Prob. 62ECh. 13.5 - Prob. 63ECh. 13.5 - Prob. 64ECh. 13.5 - Prob. 65ECh. 13.5 - Prob. 66ECh. 13.5 - Prob. 67ECh. 13.5 - Solve each problem. Comparing Continuous with...Ch. 13.5 - Prob. 69ECh. 13.5 - Prob. 70ECh. 13.5 - Spreading Mutual Fund Investments among Asset...Ch. 13.5 - Prob. 72ECh. 13.5 - Prob. 73ECh. 13.5 - Prob. 74ECh. 13.5 - Prob. 75ECh. 13.5 - Prob. 76ECh. 13.5 - Prob. 77ECh. 13.5 - Prob. 78ECh. 13.5 - Prob. 79ECh. 13.5 - Write responses to Exercises 77-84. Some research...Ch. 13.5 - Prob. 81ECh. 13.5 - Prob. 82ECh. 13.5 - Write responses to Exercises 77-84. Some research...Ch. 13.5 - Prob. 84ECh. 13 - Find all monetary answers to the nearest cent. Use...Ch. 13 - Find all monetary answers to the nearest cent. Use...Ch. 13 - Solve each problem.
3. Effective Annual Yield of...Ch. 13 - Solve each problem. Years to Double by the Rule of...Ch. 13 - Solve each problem. Finding the Present Value of a...Ch. 13 - solve each prooiem.
6. Finding Bank Card Interest...Ch. 13 - Analyzing a Consumer Loan Julio buys a koi fish...Ch. 13 - Analyzing a Consumer Loan Julio buys a koi fish...Ch. 13 - Analyzing a Consumer LoanJulio buys a koi fish...Ch. 13 - Analyzing a Consumer Loan Julio buys a koi fish...Ch. 13 - Prob. 11TCh. 13 - 12. Explain what a mutual fund is, and discuss...Ch. 13 - Prob. 13TCh. 13 - Finding the Monthly Payment on a Home Mortgage...Ch. 13 - Solve each problem. Cost of Points in a Home Loan...Ch. 13 - Prob. 16TCh. 13 - Prob. 17TCh. 13 - Prob. 18TCh. 13 - Prob. 19TCh. 13 - Prob. 20TCh. 13 - Prob. 21TCh. 13 - Prob. 22T
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