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an annual rate

How long will it take to pay off a loan of ​$51,000 at an annual rate of 9 percent compounded monthly if you make monthly payments of ​$750​? Use five decimal places for the monthly percentage rate in your calculations.

The number of years it takes to pay off the loan is ____ years. (Round to one decimal​ place.)

 
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plan to deposit

To pay for your​ child’s education, you wish to have accumulated ​$13,000 at the end of 8 years. To do​ this, you plan to deposit an equal amount into the bank at the end of each year. If the bank is willing to pay 15 percent compounded​ annually, how much must you deposit each year to obtain your​ goal?

The amount of money you must deposit each year in order to obtain your goal is ​$____. ​ (Round to the nearest​ cent.)

 
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(Annuity payments

(Annuity payments) Mr. Bill S.​ Preston, Esq., purchased a new house for ​60,000. He paid ​25,000 upfront and agreed to pay the rest over the next 20 years in 20 equal annual payments that include principal payments plus 8 percent compound interest on the unpaid balance. What will these equal payments​ be?

a.  Mr. Bill S.​ Preston, Esq., purchased a new house for ​60,000 and paid ​$25,000 upfront. How much does he need to borrow to purchase the​ house?

​$____​(Round to the nearest​ dollar.)

 
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Future value of an ordinary​ annuity

(Future value of an ordinary​ annuity) You are graduating from college at the end of this semester and after reading the The Business of Life box in this​ chapter, you have decided to invest ​$5,400 at the end of each year into a Roth IRA for the next 44 years. If you earn 9 percent compounded annually on your​ investment, how much will you have when you retire in 44 ​years? How much will you have if you wait 10 years before beginning to save and only make 34 payments into your retirement​ account?

How much will you have when you retire in 44 ​years?

​$____ ​(Round to the nearest​ cent.)

 
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