8. The simple interest charged on a 65-day loan of $1,290 is $8.25. Find the annual simple interest rate (in percent) for this loan. Round to the nearest tenth of a percent. Use 360 days in 1 year. 10. How much money (in dollars) should be invested in an account that earns 5% interest, compounded quarterly, to yield $10,000 in 7 years? ( Round your answer to the nearest cent.)
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8. The simple interest charged on a 65-day loan of $1,290 is $8.25. Find the annual simple interest rate (in percent) for this loan. Round to the nearest tenth of a percent. Use 360 days in 1 year.
10. How much money (in dollars) should be invested in an account that earns 5% interest, compounded quarterly, to yield $10,000 in 7 years? ( Round your answer to the nearest cent.)
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- Consider a loan of 800,000 which is to be amortized by 60 monthly payments. The interest rate is 12% converted monthly. 1. How much is the outstanding balance after the 36th payment? 2. How much of the 37th payment goes to pay the interest the principal?Consider a loan of 1,000,000 which is to be amortized by 60 monthly payments. The interest rate is 10% converted monthly. How much of the 47th payment goes to pay the interest? How much of the 47th payment goes to pay the principal?You borrow $280,000; the annual loan payments are $24,871.68 for 30 years. What interest rate are you being charged? Round your answer to the nearest whole number. %
- 4. You borrow $720,000 at 4.00% per year compounded monthly and you plan to pay off this loan in equal annual payments starting one year after the loan is made over a period of fifteen (15) years. What are the annual end-of-year payments? Determine the amount of interest and principal that are paid each year. What is the total interest paid for the loan? a. b. Restructure the loan in the previous question to make payments monthly. Determine the savings in interest overall. C. Restructure your payment schedule once more to make payment every two weeks. Determine the savings in interest (if any) in this case (compare to both previous repayment options). 1 OF 1Suppose United Bank offers to lend you $10,000 for one year at a nominal annual rate of 8.00%, but you must make interest payments at the end of each quarter and then pay off the $10,000 principal amount at the end of the year. What is the effective annual rate on the loan?How large must each annual payment be if the loan is for $60,000? Assume that the interest rate remains at 12% and that the loan is still paid off over 5 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ How large must each payment be if the loan is for $60,000, the interest rate is 12%, and the loan is paid off in equal installments at the end of each of the next 10 years? This loan is for the same amount as the loan in part b, but the payments are spread out over twice as many periods. Do not round intermediate calculations. Round your answer to the nearest cent. $ Why are these payments not half as large as the payments on the loan in part b? I. Because the payments are spread out over a longer time period, less interest is paid on the loan, which raises the amount of each payment.II. Because the payments are spread out over a longer time period, less interest is paid on the loan, which lowers the amount of each payment.III. Because the…
- 17. a. If you borrow $1,000 and agree to repay the loan in five equal annual payments at an interest rate of 12%, what will your payment be? (Round your answer to the nearest cent.) b. If you make the first payment on the loan immediately instead of at the end of the first year, what is your payment? (Round your answer to the nearest cent.)You take out a $7,000 car loan that calls for 60 monthly payments starting after 1 month at an APR of 12%. a. What is your monthly payment? b. What is the effective annual interest rate on the loan? c. Now assume the payments are made in five annual year-end installments. What annual payment would have the same present value as the monthly payment you calculated?24. Suppose you have three personal loans outstanding to your friend Elizabeth. A payment of $1,000 is due today, a $500 payment is due one year from now, and a $250 payment is due two years from now. You would like to consolidate the three loans into one, with 36 equal monthly payments, beginning one month from today. Assume the agreed interest rate is 8% (effective annual rate) per year. a. What is the annual percentage rate you will be paying? b. How large will the new monthly payment be?
- You borrow X for 10 years at an annual effective interest rate of i = 6%. If you pay the loan amount and accumulated interest at the end of 10 years in one payment you would pay 356.54 more than if you made 10 level payments at the end of each year. Find X.2. $4200 is invested for 9 months at an annual simple interest rate of 12%. How much interest will be earned? Round youranswer to the nearest cent, if necessaryYou borrow $160,000; the annual loan payments are $24,368.03 for 30 years. What interest rate are you being charged? Round your answer to two decimal places.
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