Finite Mathematics and Applied Calculus (MindTap Course List)
7th Edition
ISBN: 9781337274203
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3.3, Problem 90E
In Exercises 83–90, use a time value of money utility (a calculator, spreadsheet, or the Website). Such a utility can solve for any of the inputs, given values for the others.
Car Leasing You can lease a $15,000 car for $300 per month. For how long (to the nearest year) should you lease the car so that your monthly payments are lower than if you were purchasing it with an 8%-per-year loan?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Often lottery winnings are divided into equal payments given annually for 20 – 25 years. So the present value of the winnings is worth less than the actual jackpot, depending on the rate at
which money could be invested. Find the present value in dollars using the given conditions.
Complete the table for each amount, interest rate, and number of payments.
Jackpot Amount
Interest Rate
Equal Annual Payments Present Value (in dollars)
$7,000,000
8%
20
$7,000,000
14%
20
$4
$7,000,000
8%
25
$
$7,000,000
14%
25
(Round to the nearest dollar as needed.)
In Exercises 67–70, use the following function.
The Internal Revenue Service Restructuring and Reform Act (RRA) was signed into law by President Bill Clinton in 1998. A major objective of the RRA was to promote electronic filing of tax returns. The data in the table that follows show the percentage of individual income tax returns filed electronically for filing years 2000–2008. Since the percentage P of returns filed electronically depends on the filing year y and each input corresponds to exactly one output, the percentage of returns filed electronically is a function of the filing year;so P(y) represents the percentage of returns filed electronically for filing year y.
(a) Find the average rate of change of the percentage of e-filed returns from 2000 to 2002.
(b) Find the average rate of change of the percentage of e-filed returns from 2004 to 2006.
(c) Find the average rate of change of the percentage of e-filed returns from 2006 to 2008.
(d) What is happening to the average rate of change as time passes?
Chapter 3 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
Ch. 3.1 - In Exercises 110, compute the simple interest for...Ch. 3.1 - In Exercises 110, compute the simple interest for...Ch. 3.1 - In Exercises 110, compute the simple interest for...Ch. 3.1 - In Exercises 110, compute the simple interest for...Ch. 3.1 - In Exercises 110, compute the simple interest for...Ch. 3.1 - In Exercises 110, compute the simple interest for...Ch. 3.1 - In Exercises 110, compute the simple interest for...Ch. 3.1 - In Exercises 110, compute the simple interest for...Ch. 3.1 - In Exercises 110, compute the simple interest for...Ch. 3.1 - In Exercises 110, compute the simple interest for...
Ch. 3.1 - In Exercises 1116, find the present value of the...Ch. 3.1 - In Exercises 1116, find the present value of the...Ch. 3.1 - In Exercises 1116, find the present value of the...Ch. 3.1 - In Exercises 1116, find the present value of the...Ch. 3.1 - In Exercises 1116, find the present value of the...Ch. 3.1 - In Exercises 1116, find the present value of the...Ch. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - Exercises 2328 are based on the following table,...Ch. 3.1 - Exercises 2328 are based on the following table,...Ch. 3.1 - Exercises 2328 are based on the following table,...Ch. 3.1 - Exercises 2328 are based on the following table,...Ch. 3.1 - Exercises 2328 are based on the following table,...Ch. 3.1 - Exercises 2328 are based on the following table,...Ch. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - Prob. 34ECh. 3.1 - In Exercises 1736, compute the specified quantity....Ch. 3.1 - Prob. 36ECh. 3.1 - Stock Investments Exercises 3742 are based on the...Ch. 3.1 - Stock Investments Exercises 3742 are based on the...Ch. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Stock Investments Exercises 3742 are based on the...Ch. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Population Exercises 4348 are based on the...Ch. 3.1 - Prob. 48ECh. 3.1 - Treasury Bills In December 2008 (in the midst of...Ch. 3.1 - Prob. 50ECh. 3.1 - Prob. 51ECh. 3.1 - Treasury Bills At auction on August 18, 2005,...Ch. 3.1 - Prob. 53ECh. 3.1 - Prob. 54ECh. 3.1 - Prob. 55ECh. 3.1 - Prob. 56ECh. 3.1 - Prob. 57ECh. 3.1 - Prob. 58ECh. 3.1 - Prob. 59ECh. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 3.2 - Prob. 10ECh. 3.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 3.2 - Prob. 12ECh. 3.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 3.2 - In Exercises 1722, find the effective annual...Ch. 3.2 - In Exercises 1722, find the effective annual...Ch. 3.2 - In Exercises 1722, find the effective annual...Ch. 3.2 - In Exercises 1722, find the effective annual...Ch. 3.2 - In Exercises 1722, find the effective annual...Ch. 3.2 - In Exercises 1722, find the effective annual...Ch. 3.2 - Savings You deposit $1,000 in an account at the...Ch. 3.2 - Investments You invest $10,000 in Rapid Growth...Ch. 3.2 - Depreciation: 2008 Financial Crisis During 2008...Ch. 3.2 - Depreciation: 2008 Financial Crisis During 2008...Ch. 3.2 - Bonds You want to buy a 10-year bond with a...Ch. 3.2 - Bonds You want to buy a 15-year bond with a...Ch. 3.2 - Investments When I was considering what to do with...Ch. 3.2 - Investments When I was considering what to do with...Ch. 3.2 - Depreciation During a prolonged recession,...Ch. 3.2 - Prob. 32ECh. 3.2 - Present Value Determine the amount of money, to...Ch. 3.2 - Prob. 34ECh. 3.2 - Stocks Six years ago, I invested some money in...Ch. 3.2 - Sales My recent marketing idea, the Miracle Algae...Ch. 3.2 - Exercises 3742 are based on the following table,...Ch. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Retirement Planning I want to be earning an annual...Ch. 3.2 - Retirement Planning I want to be earning an annual...Ch. 3.2 - Prob. 45ECh. 3.2 - Inflation...Ch. 3.2 - Inflation Housing prices have been rising 6% per...Ch. 3.2 - Prob. 48ECh. 3.2 - Constant Dollars Inflation is running 3% per year...Ch. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - Prob. 54ECh. 3.2 - Inflation Exercises 5562 are based on the...Ch. 3.2 - Inflation Exercises 5562 are based on the...Ch. 3.2 - Prob. 57ECh. 3.2 - Prob. 58ECh. 3.2 - Prob. 59ECh. 3.2 - Prob. 60ECh. 3.2 - Prob. 61ECh. 3.2 - Prob. 62ECh. 3.2 - Prob. 63ECh. 3.2 - Prob. 64ECh. 3.2 - Prob. 65ECh. 3.2 - Prob. 66ECh. 3.2 - Prob. 67ECh. 3.2 - Prob. 68ECh. 3.2 - Prob. 69ECh. 3.2 - Investments Determine when, to the nearest year,...Ch. 3.2 - Prob. 71ECh. 3.2 - Prob. 72ECh. 3.2 - Prob. 73ECh. 3.2 - Bonds Suppose that, in January 2040, you buy a...Ch. 3.2 - Prob. 75ECh. 3.2 - Prob. 76ECh. 3.2 - Prob. 77ECh. 3.2 - Prob. 78ECh. 3.2 - Prob. 79ECh. 3.2 - Prob. 80ECh. 3.2 - Prob. 81ECh. 3.2 - Prob. 82ECh. 3.2 - Prob. 83ECh. 3.2 - Prob. 84ECh. 3.2 - Prob. 85ECh. 3.2 - Prob. 86ECh. 3.3 - In Exercises 16, find the amount accumulated in...Ch. 3.3 - In Exercises 16, find the amount accumulated in...Ch. 3.3 - In Exercises 16, find the amount accumulated in...Ch. 3.3 - Prob. 4ECh. 3.3 - In Exercises 16, find the amount accumulated in...Ch. 3.3 - In Exercises 16, find the amount accumulated in...Ch. 3.3 - In Exercises 712, find the periodic payments...Ch. 3.3 - Prob. 8ECh. 3.3 - In Exercises 712, find the periodic payments...Ch. 3.3 - Prob. 10ECh. 3.3 - In Exercises 712, find the periodic payments...Ch. 3.3 - In Exercises 712, find the periodic payments...Ch. 3.3 - In Exercises 1318, find the present value of the...Ch. 3.3 - In Exercises 1318, find the present value of the...Ch. 3.3 - In Exercises 1318, find the present value of the...Ch. 3.3 - Prob. 16ECh. 3.3 - In Exercises 1318, find the present value of the...Ch. 3.3 - In Exercises 1318, find the present value of the...Ch. 3.3 - In Exercises 1924, find the periodic withdrawals...Ch. 3.3 - In Exercises 1924, find the periodic withdrawals...Ch. 3.3 - In Exercises 1924, find the periodic withdrawals...Ch. 3.3 - In Exercises 1924, find the periodic withdrawals...Ch. 3.3 - In Exercises 1924, find the periodic withdrawals...Ch. 3.3 - In Exercises 1924, find the periodic withdrawals...Ch. 3.3 - In Exercises 2532, determine the periodic payments...Ch. 3.3 - In Exercises 2532, determine the periodic payments...Ch. 3.3 - In Exercises 2532, determine the periodic payments...Ch. 3.3 - Prob. 28ECh. 3.3 - In Exercises 2532, determine the periodic payments...Ch. 3.3 - Prob. 30ECh. 3.3 - In Exercises 2532, determine the periodic payments...Ch. 3.3 - Prob. 32ECh. 3.3 - In Exercises 3338, determine the outstanding...Ch. 3.3 - Prob. 34ECh. 3.3 - In Exercises 3338, determine the outstanding...Ch. 3.3 - Prob. 36ECh. 3.3 - In Exercises 3338, determine the outstanding...Ch. 3.3 - Prob. 38ECh. 3.3 - In Exercises 3944, determine the selling price,...Ch. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 3.3 - Prob. 46ECh. 3.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 3.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 3.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 3.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 3.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 3.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 3.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 3.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 3.3 - Pensions Your pension plan is an annuity with a...Ch. 3.3 - Pensions Jennifers pension plan is an annuity with...Ch. 3.3 - Prob. 57ECh. 3.3 - Pensions Megs pension plan is an annuity with a...Ch. 3.3 - Life Insurance Exercises 5964 are based on the...Ch. 3.3 - Life Insurance Exercises 5964 are based on the...Ch. 3.3 - Life Insurance Exercises 5964 are based on the...Ch. 3.3 - Prob. 62ECh. 3.3 - Life Insurance Exercises 5964 are based on the...Ch. 3.3 - Life Insurance Exercises 5964 are based on the...Ch. 3.3 - Prob. 65ECh. 3.3 - Prob. 66ECh. 3.3 - Prob. 67ECh. 3.3 - Prob. 68ECh. 3.3 - Exercises 6576 are based on the following table,...Ch. 3.3 - Prob. 70ECh. 3.3 - Exercises 6576 are based on the following table,...Ch. 3.3 - Exercises 6576 are based on the following table,...Ch. 3.3 - Exercises 6576 are based on the following table,...Ch. 3.3 - Exercises 6576 are based on the following table,...Ch. 3.3 - Prob. 75ECh. 3.3 - Prob. 76ECh. 3.3 - Car Loans While shopping for a car loan, you get...Ch. 3.3 - Business Loans You need to take out a loan of...Ch. 3.3 - Prob. 79ECh. 3.3 - Prob. 80ECh. 3.3 - Prob. 81ECh. 3.3 - Note: In Exercises 81 and 82 we suggest the use of...Ch. 3.3 - Prob. 83ECh. 3.3 - Prob. 84ECh. 3.3 - Prob. 85ECh. 3.3 - Prob. 86ECh. 3.3 - In Exercises 8390, use a time value of money...Ch. 3.3 - Prob. 88ECh. 3.3 - Prob. 89ECh. 3.3 - In Exercises 8390, use a time value of money...Ch. 3.3 - Prob. 91ECh. 3.3 - Prob. 92ECh. 3.3 - Prob. 93ECh. 3.3 - Prob. 94ECh. 3.3 - Prob. 95ECh. 3.3 - Prob. 96ECh. 3.3 - Prob. 97ECh. 3.3 - Prob. 98ECh. 3.3 - Prob. 99ECh. 3.3 - Prob. 100ECh. 3 - In Exercises 16, find the future value of the...Ch. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - In Exercises 1318, find the amounts indicated. The...Ch. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - How much would you pay for a $10,000, 5-year, 6%...Ch. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Stock Investments Exercises 2934 are based on the...Ch. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Prob. 35RECh. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Prob. 39RECh. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - Prob. 46RECh. 3 - Prob. 47RECh. 3 - Prob. 48RECh. 3 - Prob. 49RECh. 3 - Retirement Planning OHaganBooks.com has just...Ch. 3 - Prob. 51RECh. 3 - Prob. 52RECh. 3 - Prob. 53RECh. 3 - Prob. 54RECh. 3 - Prob. 55RECh. 3 - Prob. 56RE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Chapter 3.1 (13) Find the present value of the given investment. An investment earns7% per year and is worth $1000 after 7 months.arrow_forwardIn Exercises 13–24, draw a dependency diagram and write a Chain Rule formula for each derivative.arrow_forwardQ. Table gives data on gold prices, the Consumer Price Index (CPI), and the New York Stock Exchange (NYSE) Index for the United States for the period 1974 –2006. The NYSE Index includes most of the stocks listed on the NYSE, some 1500-plus. a. Plot in the same scattergram gold prices, CPI, and the NYSE Index. b. An investment is supposed to be a hedge against inflation if its price and /or rate of return at least keeps pace with inflation. To test this hypothesis, suppose you decide to fit the following model, assuming the scatterplot in (a) suggests that this is appropriate: Gold pricet = β1 + β2 CPIt + ut NYSE indext = β1 + β2 CPIt + ut Note that if beta2 = 1 the response exactly grows with CPI Thank you!arrow_forward
- The table shows the historical in-state tuition rates for the University of Kalamazoo. Use the data to answer the questions and round your answers to two decimal places. Academic year Rate of tuition for one semester 2008–2009 $3,812 2009–2010 $4,002 2010–2011 $4,441 2011–2012 $4,905 2012–2013 $5,181 What is the percentage increase in tuition from the 2008–2009 school year to the 2012–2013 school year?arrow_forwardThe Following are the Index Numbers of prices (2002 = 100) %3D Year Index Year Index 2002 100 2007 410 2003 110 2008 400 2004 120 2009 380 2005 200 2010 370 2006 400 2011 340 Shift the base from 2002 – 2008 and recast the Index Numbers.arrow_forwardEXERCISE 1.3arrow_forward
- Use the below table to calculate the amount of federal income tax that Ken should report if he earned a faxable income of $54,187 in 2020? Federal Tax Rates for 2020 13% on the first $42,854 of taxable income, plus 17.5% on the next $45,872 of taxable income, plus 25% on the next $49,465 of taxable income, plus 28% on any further taxable income Income tax = $ %Darrow_forward8–33. On Black Friday, Amazon.com featured an Echo 2nd Generation for $35 normally selling for $79. Calculate the dollar markdown and the markdown percent based on the selling price to the nearest whole percent.arrow_forwardThe marketing team at Canadian Sport Apparel predicts total sales revenue will increase by 5%, 7%, and 10% in each of the next three years, respectively. If current sales revenue is $3,400,000, what will be the size of the sales revenue increase during the third year?Increase in sales revenue during the third year (Using the BA II calculator- Steps)arrow_forward
- In Exercises 1–6, give the values of i and n under the given conditions. 3% interest compounded monthly for 2 yearsarrow_forwardc. Predict sales in 15 years.arrow_forward2.62 For the period 2001–2008, the Bristol-Myers Squibb Company, Inc. reported the following amounts (in billions of dollars) for (1) net sales and (2) advertising and product promotion. The data are also in the file XR02062. Source: Bristol-Myers Squibb Company, Annual Reports, 2005, 2008. Year Net Sales Advertising/Promotion 2001 $16.612 $1.201 2002 16.208 1.143 2003 18.653 1.416 2004 19.380 1.411 2005 19.207 1.476 2006 16.208 1.304 2007 18.193 1.415 2008 20.597 1.550 For these data, construct a line graph that shows both net sales and expenditures for advertising/product promotion over time. Some would suggest that increases in advertising should be accompanied by increases in sales. Does your line graph support this?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY