Finite Mathematics & Its Applications (12th Edition)
12th Edition
ISBN: 9780134507125
Author: Goldstein
Publisher: PEARSON
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Textbook Question
Chapter 10.3, Problem 20E
Loan Consider a $21,281.27 loan for 7 years at 8% interest compounded quarterly with a payment of $1000 per quarter-year.
a. Compute the unpaid balance after 5 years.
b. How much interest is paid during the fifth year?
c. How much principal is repaid in the first payment?
d. What is the total amount of interest paid on the loan?
e. Prepare the amortization schedule for the first 4 months.
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Chapter 10 Solutions
Finite Mathematics & Its Applications (12th Edition)
Ch. 10.1 - Solution can be found following the section...Ch. 10.1 - Solution can be found following the section...Ch. 10.1 - Calculate the future amount of $2000 after 6...Ch. 10.1 - In Exercises 1–6, given the values of i and n...Ch. 10.1 - In Exercises 1–6, given the values of i and n...Ch. 10.1 - In Exercises 1–6, given the values of i and n...Ch. 10.1 - In Exercises 16, given the values of i and n under...Ch. 10.1 - In Exercises 16, given the values of i and n under...Ch. 10.1 - In Exercises 1–6, given the values of i and n...Ch. 10.1 - In Exercises 712, given the values of i, n, P, and...
Ch. 10.1 - In Exercises 712, given the values of i, n, P, and...Ch. 10.1 - In Exercises 7–12, given the values of i, n, P,...Ch. 10.1 - In Exercises 7–12, given the values of i, n, P,...Ch. 10.1 - Prob. 11ECh. 10.1 - In Exercises 712, given the values of i, n, P, and...Ch. 10.1 - In Exercises 1338, solve each problem. Future...Ch. 10.1 - In Exercises 1338, solve each problem. Future...Ch. 10.1 - In Exercises 1338, solve each problem. Future...Ch. 10.1 - In Exercises 13–38, solve each problem.
16. Future...Ch. 10.1 - In Exercises 1338, solve each problem. Future...Ch. 10.1 - Prob. 18ECh. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 1338, solve each problem. Present...Ch. 10.1 - In Exercises 1338, solve each problem. Savings...Ch. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 1338, solve each problem. Comparing...Ch. 10.1 - In Exercises 1338, solve each problem. Comparing...Ch. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - Prob. 27ECh. 10.1 - In Exercises 1338, solve each problem. Interest If...Ch. 10.1 - Prob. 29ECh. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 1338, solve each problem. Interest If...Ch. 10.1 - In Exercises 1338, solve each problem. Interest If...Ch. 10.1 - In Exercises 1338, solve each problem. Savings...Ch. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 13–38, solve each...Ch. 10.1 - In Exercises 1338, solve each problem. Interest...Ch. 10.1 - In Exercises 1338, solve each problem. Savings...Ch. 10.1 - In Exercises 1338, solve each problem. Savings...Ch. 10.1 - Exercises 39–52 concern simple...Ch. 10.1 - Exercises 39–52 concern simple...Ch. 10.1 - Exercises 3952 concern simple interest. Future...Ch. 10.1 - Exercises 39–52 concern simple...Ch. 10.1 - Exercises 39–52 concern simple...Ch. 10.1 - Exercises 3952 concern simple interest. Present...Ch. 10.1 - Exercises 3952 concern simple interest. Interest...Ch. 10.1 - Exercises 3952 concern simple interest. Interest...Ch. 10.1 - Exercises 3952 concern simple interest. Time...Ch. 10.1 - Exercises 3952 concern simple interest. Time...Ch. 10.1 - Exercises 3952 concern simple interest. Time...Ch. 10.1 - Exercises 3952 concern simple interest. Interest...Ch. 10.1 - Exercises 3952 concern simple interest. Present...Ch. 10.1 - Exercises 39–52 concern simple interest.
52. Time...Ch. 10.1 - Future Value Compute the future value after 1 year...Ch. 10.1 - Future Value Compute the future value after 1 year...Ch. 10.1 - Effective Rate of Interest In Exercises 5558,...Ch. 10.1 - Effective Rate of Interest In Exercises 5558,...Ch. 10.1 - Effective Rate of Interest In Exercises 55–58,...Ch. 10.1 - Effective Rate of Interest In Exercises 55–58,...Ch. 10.1 - Prob. 59ECh. 10.1 - Savings Account During the 1990s, a deposit was...Ch. 10.1 - Prob. 61ECh. 10.1 - Prob. 62ECh. 10.1 - Prob. 63ECh. 10.1 - Doubling Time(True or False) An investment growing...Ch. 10.1 - Prob. 65ECh. 10.1 - Future Value If your stock portfolio gained 20% in...Ch. 10.1 - 67. Comparing Investments The same amount of money...Ch. 10.1 - Prob. 68ECh. 10.1 - Prob. 69ECh. 10.1 - Prob. 70ECh. 10.1 - Prob. 71ECh. 10.1 - Prob. 72ECh. 10.1 - Prob. 73ECh. 10.1 - Prob. 74ECh. 10.1 - Prob. 75ECh. 10.1 - 76. Savings Account Ten thousand dollars is...Ch. 10.1 - Prob. 77ECh. 10.1 - Prob. 78ECh. 10.1 - Comparing Investments Consider the following two...Ch. 10.1 - 80. Comparing Investments Consider the following...Ch. 10.2 - Solutions can be found the section exercises....Ch. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Exercises 1 and 2 describe increasing annuities....Ch. 10.2 - Exercises 1 and 2 describe increasing annuities....Ch. 10.2 - Exercises 3 and 4 describe decreasing annuities....Ch. 10.2 - Exercises 3 and 4 describe decreasing annuities....Ch. 10.2 - In Exercises 5 and 6, calculate the future value...Ch. 10.2 - In Exercises 5 and 6, calculate the future value...Ch. 10.2 - In Exercises 7 and 8, calculate the rent of the...Ch. 10.2 - In Exercises 7 and 8, calculate the rent of the...Ch. 10.2 - In Exercises 9 and 10, calculate the present value...Ch. 10.2 - In Exercises 9 and 10, calculate the present value...Ch. 10.2 - In Exercises 11 and 12, calculate the rent of the...Ch. 10.2 - In Exercises 11 and 12, calculate the rent of the...Ch. 10.2 - Savings Account Ethan deposits $500 into a savings...Ch. 10.2 - Savings Account Emma deposits $2000 into a savings...Ch. 10.2 - Prob. 15ECh. 10.2 - Savings Account A person deposits$5000 into a...Ch. 10.2 - In Exercises 17–20, determine the amount of...Ch. 10.2 - In Exercises 1720, determine the amount of...Ch. 10.2 - In Exercises 1720, determine the amount of...Ch. 10.2 - Prob. 20ECh. 10.2 - Comparing Payouts Is it more profitable to receive...Ch. 10.2 - Comparing Payouts Is it more profitable to receive...Ch. 10.2 - Comparing Bonus Plans When Bridget takes a new...Ch. 10.2 - Comparing Lottery Payouts A lottery winner is...Ch. 10.2 - College Allowance During Jacks first year at...Ch. 10.2 - Magazine Subscription Suppose that a magazine...Ch. 10.2 - 27. Savings Account Suppose that $1000 was...Ch. 10.2 - Savings Account Suppose that you opened a savings...Ch. 10.2 - 29. Savings Account Ms. Jones deposited $100 at...Ch. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Savings Account How much money must you deposit...Ch. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Municipal Bond A municipal bond pays 4% interest...Ch. 10.2 - Present Value What is the present value of a loan...Ch. 10.2 - 37. Business Loan A business loan for $200,000...Ch. 10.2 - 38. Lottery Payoff A lottery winner is to receive...Ch. 10.2 - Prob. 39ECh. 10.2 - A sinking fund is an increasing annuity set up by...Ch. 10.2 - Prob. 41ECh. 10.2 - A sinking fund is an increasing annuity set up by...Ch. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - A deferred annuity is a type of decreasing annuity...Ch. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.2 - Prob. 56ECh. 10.2 - Prob. 57ECh. 10.2 - In Exercises 51–58, give the settings or...Ch. 10.2 - Prob. 59ECh. 10.2 - 60. Time Interval A person deposits $800 at the...Ch. 10.2 - Prob. 61ECh. 10.2 - Home Repairs Fund Bob needs $3064 to have some...Ch. 10.2 - Prob. 63ECh. 10.3 - Solution can be found following the section...Ch. 10.3 - Solution can be found following the section...Ch. 10.3 - Solution can be found following the section...Ch. 10.3 - 1. Loan Payment A car loan of $10,000 is to be...Ch. 10.3 - Loan Payment A loan of $5000 is to be repaid with...Ch. 10.3 - Loan Payment A loan of $4000 is to be repaid with...Ch. 10.3 - Loan Payment A loan of $3000 is to be repaid with...Ch. 10.3 - Loan Amount The weekly payment on a 2-year loan at...Ch. 10.3 - Loan Amount The quarterly payment on a 5-year loan...Ch. 10.3 - Mortgage Payment Find the monthly payment on a...Ch. 10.3 - 8. Mortgage Payment Find the monthly payment on a...Ch. 10.3 - 9. Mortgage Amount Find the amount of a 30-year...Ch. 10.3 - Mortgage Amount Find the amount of a 25-year...Ch. 10.3 - Mortgage Balance A 30-year mortgage at 4.2%...Ch. 10.3 - 12. Mortgage Balance A 25-year mortgage at 4.5%...Ch. 10.3 - 13. Loan Interest A loan with a weekly payment of...Ch. 10.3 - Loan Interest A loan with a quarterly payment of...Ch. 10.3 - Amortization Schedule Write out a complete...Ch. 10.3 - Amortization Schedule Write out a complete...Ch. 10.3 - 17. Mortgage Consider a $204,700, 30-year mortgage...Ch. 10.3 - 18. Mortgage James buys a house for $370,000. He...Ch. 10.3 - 19. Car Loan Susie takes out a car loan for $9480...Ch. 10.3 - Loan Consider a $21,281.27 loan for 7 years at 8%...Ch. 10.3 - Prob. 21ECh. 10.3 - Comparing Financing Options In a recent year, Ford...Ch. 10.3 - 23. Comparing Financing Options A bank makes the...Ch. 10.3 - Buy Now or Later? According to an article in the...Ch. 10.3 - Balloon Payment A loan is to be amortized over an...Ch. 10.3 - 26. Balloon Payment A loan of $127,000.50 is to be...Ch. 10.3 - 27. Car Loan A car is purchased for $6287.10, with...Ch. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Terminating a Mortgage In 2006, Emma purchased a...Ch. 10.3 - Refinancing a Mortgage A real estate speculator...Ch. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Total of Loan Payment Suppose that you borrow...Ch. 10.3 - 36. Loan Amount Suppose that you borrow money at...Ch. 10.3 - Let Bn= balance of a loan after n payments, In=...Ch. 10.3 - Let QnandIn be as defined in Exercise 37. a. Use...Ch. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.3 - Prob. 41ECh. 10.3 - Prob. 42ECh. 10.3 - Prob. 43ECh. 10.3 - In Exercises 39–46, give settings or statements to...Ch. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - Prob. 47ECh. 10.3 - Prob. 48ECh. 10.3 - Debt Reduction A loan of $10,000 at 9% interest...Ch. 10.3 - 50. Debt Reduction A loan of $4000 at 6% interest...Ch. 10.3 - Prob. 51ECh. 10.3 - Prob. 52ECh. 10.4 - Solution can be found following the section...Ch. 10.4 - Prob. 2CYUCh. 10.4 - Prob. 3CYUCh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Comparing IRAs Rework Examples 1 and 3 for the...Ch. 10.4 - Roth IRA Rework Exercise 5 for a Roth IRA.Ch. 10.4 - 8. Comparing IRAs Rework Examples 1 and 3 for the...Ch. 10.4 - Value of Starting an IRA Early Redo Example 4...Ch. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - 26. True or False Refer to Example 10. If the...Ch. 10.4 - Prob. 27ECh. 10.4 - APR In multiple-choice Exercises 2730, assume that...Ch. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Effective Mortgage Rate In multiple-choice...Ch. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Interest-Only Mortgage Consider a 15-year mortgage...Ch. 10.4 - 42. Interest-Only Mortgage Consider a 15-year...Ch. 10.4 - 43. Adjustable-Rate Mortgage Consider a 25-year...Ch. 10.4 - Prob. 44ECh. 10.4 - Prob. 45ECh. 10.4 - Prob. 46ECh. 10.4 - Prob. 47ECh. 10.4 - Prob. 48ECh. 10.4 - Prob. 49ECh. 10.4 - Prob. 50ECh. 10.4 - Prob. 51ECh. 10.4 - Prob. 52ECh. 10.4 - Prob. 53ECh. 10.4 - Prob. 54ECh. 10.4 - Prob. 55ECh. 10.4 - Prob. 56ECh. 10.5 - Solution can be found following the section...Ch. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 1ECh. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - In Exercises 1–10, give a difference equation for...Ch. 10.5 - In Exercises 1–10, give a difference equation for...Ch. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - Prob. 9ECh. 10.5 - Prob. 10ECh. 10.5 - In Exercises 11 and 12, answer the questions....Ch. 10.5 - In Exercises 11 and 12, answer the questions....Ch. 10.5 - Prob. 13ECh. 10.5 - In Exercises 1318, (a) determine the first five...Ch. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23ECh. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.5 - In Exercises 1938, use difference equations to...Ch. 10.5 - In Exercises 1938, use difference equations to...Ch. 10.5 - In Exercises 19–38, use difference equations to...Ch. 10.5 - Prob. 35ECh. 10.5 - Prob. 36ECh. 10.5 - Prob. 37ECh. 10.5 - Prob. 38ECh. 10.5 - Prob. 39ECh. 10.5 - Prob. 40ECh. 10.5 - Prob. 41ECh. 10.5 - Elevation and Atmospheric Pressure The atmospheric...Ch. 10.5 - Prob. 43ECh. 10.5 - Prob. 44ECh. 10.5 - Prob. 45ECh. 10.5 - Prob. 46ECh. 10.5 - Prob. 47ECh. 10.5 - Prob. 48ECh. 10.5 - Prob. 50ECh. 10 - 1. What is meant by principal?
Ch. 10 - Prob. 2FCCECh. 10 - 3. What is meant by the balance in a savings...Ch. 10 - Prob. 4FCCECh. 10 - Prob. 5FCCECh. 10 - Prob. 6FCCECh. 10 - Prob. 7FCCECh. 10 - 8. Explain the difference between the nominal and...Ch. 10 - Prob. 9FCCECh. 10 - Prob. 10FCCECh. 10 - Prob. 11FCCECh. 10 - Prob. 12FCCECh. 10 - Prob. 13FCCECh. 10 - Prob. 14FCCECh. 10 - Prob. 15FCCECh. 10 - Prob. 16FCCECh. 10 - Prob. 17FCCECh. 10 - Prob. 18FCCECh. 10 - How are finance charges on a consumer loan...Ch. 10 - Prob. 20FCCECh. 10 - Prob. 21FCCECh. 10 - Prob. 22FCCECh. 10 - Prob. 23FCCECh. 10 - Prob. 24FCCECh. 10 - Prob. 25FCCECh. 10 - Prob. 26FCCECh. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Nonstandard Mortgage A real estate investor takes...Ch. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Interest-Only Mortgage Consider a 25-year mortgage...Ch. 10 - 36. Adjustable-Rate Mortgage Consider a 25-year...Ch. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Suppose that a $100,000 investment grows 3% during...Ch. 10 - Prob. 2PCh. 10 - 3. Consider an annuity in which $100,000 is...Ch. 10 - Rework Exercise 3, where the interest rate is 4%...Ch. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - 7. Show that, if an investment of P dollars earns ...Ch. 10 - 8. Which of the following two statements is true?...Ch. 10 - Show that, if $1000 is invested at 8% interest...Ch. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - Prob. 14PCh. 10 - Prob. 15P
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- A: Tan Latitude / Tan P A = Tan 04° 30'/ Tan 77° 50.3' A= 0.016960 803 S CA named opposite to latitude, except when hour angle between 090° and 270°) B: Tan Declination | Sin P B Tan 052° 42.1'/ Sin 77° 50.3' B = 1.34 2905601 SCB is alway named same as declination) C = A + B = 1.35 9866404 S CC correction, A+/- B: if A and B have same name - add, If different name- subtract) = Tan Azimuth 1/Ccx cos Latitude) Tan Azimuth = 0.737640253 Azimuth = S 36.4° E CAzimuth takes combined name of C correction and Hour Angle - If LHA is between 0° and 180°, it is named "west", if LHA is between 180° and 360° it is named "east" True Azimuth= 143.6° Compass Azimuth = 145.0° Compass Error = 1.4° West Variation 4.0 East Deviation: 5.4 Westarrow_forwardA: Tan Latitude / Tan P A = Tan 04° 30'/ Tan 77° 50.3' A= 0.016960 803 S CA named opposite to latitude, except when hour angle between 090° and 270°) B: Tan Declination | Sin P B Tan 052° 42.1'/ Sin 77° 50.3' B = 1.34 2905601 SCB is alway named same as declination) C = A + B = 1.35 9866404 S CC correction, A+/- B: if A and B have same name - add, If different name- subtract) = Tan Azimuth 1/Ccx cos Latitude) Tan Azimuth = 0.737640253 Azimuth = S 36.4° E CAzimuth takes combined name of C correction and Hour Angle - If LHA is between 0° and 180°, it is named "west", if LHA is between 180° and 360° it is named "east" True Azimuth= 143.6° Compass Azimuth = 145.0° Compass Error = 1.4° West Variation 4.0 East Deviation: 5.4 Westarrow_forwardDirection: Strictly write in 4 bond paper, because my activity sheet is have 4 spaces. This is actually for maritime. industry course, but I think geometry can do this. use nautical almanac. Sample Calculation (Amplitude- Sun): On 07th May 2006 at Sunset, a vesel in position 10°00'N 0 10°00' W observed the sun bearing 288° by compass. Find the compass error. LMT Sunset 07d 18h 13m (+)00d 00h 40 м LIT: UTC Sunset: 07d 18h 53 m added - since longitude is westerly Declination Co7d 18h): N016° 55.5' d(0.7): (+) 00-6 N016 56.1' Declination Sun: Sin Amplitude Sin Declination (Los Latitude - Sin 016° 56.1'/Cos 10°00' = 0.295780189 Amplitude = WI. 2N (The prefix of amplitude is named easterly if body is rising. and westerly of body is setting. The suffix is named came as declination.) True Bearing: 287.20 Compass Bearing 288.0° Compass Error: 0.8' Westarrow_forward
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