Mathematical Ideas with Integrated Review and Worksheets plus NEW MyLab Math with Pearson eText -- Access Card Package (Integrated Review Courses in MyLab Math and MyLab Statistics)
1st Edition
ISBN: 9780321977274
Author: Miller, Charles, Heeren, Vern, HORNSBY, John, Christopher
Publisher: PEARSON
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Question
Chapter 13.3, Problem 46E
To determine
The reason why the product of the two quantities represent the unearned interest.
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Exercises
Evaluate the following limits.
1. lim cot x/ln x
+01x
2. lim x² In x
+014
3. lim x*
x0+
4. lim (cos√√x)1/x
+014
5. lim x2/(1-cos x)
x10
6. lim e*/*
818
7. lim (secx - tan x)
x-x/2-
8. lim [1+(3/x)]*
x→∞0
In Exercises 1 through 3, let xo =
O and calculate P7(x) and R7(x).
1. f(x)=sin x, x in R.
2. f(x) = cos x, x in R.
3. f(x) = In(1+x), x≥0.
4. In Exercises 1, 2, and 3, for |x| 1, calculate a value of n such that P(x)
approximates f(x) to within 10-6.
5. Let (an)neN be a sequence of positive real numbers such that L =
lim (an+1/an) exists in R. If L < 1, show that an → 0. [Hint: Let
1111
L
iation
7. Let f be continuous on [a, b] and differentiable on (a, b). If lim f'(x)
xia
exists in R, show that f is differentiable at a and f'(a) = lim f'(x). A
similar result holds for b.
x-a
8. In reference to Corollary 5.4, give an example of a uniformly continuous
function on [0, 1] that is differentiable on (0, 1] but whose derivative is not
bounded there.
9. Recall that a fixed point of a function f is a point c such that f(c) = c.
(a) Show that if f is differentiable on R and f'(x)| x if x 1 and hence In(1+x) 0.
12. For 0 л/2. (Thus,
as x л/2 from the left, cos x is never large enough for x+cosx to be
greater than л/2 and cot x is never small enough for x + cot x to be less
than x/2.)
Chapter 13 Solutions
Mathematical Ideas with Integrated Review and Worksheets plus NEW MyLab Math with Pearson eText -- Access Card Package (Integrated Review Courses in MyLab Math and MyLab Statistics)
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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