#8 the answers A) 54 full payments $32.85 and B) 24 full payments $215.91 is provided for us. I need step by step work that shows how we got this answer. Financial calculators and excel are not allowed. Thank you!

8. A car is purchased for $8,990. Determine the number of full payments needed and the size of the smaller concluding payment if the interest rate is 8.4% compounded monthly and: a) $200 is paid at the end of each month. b) $400 is paid at the end of each month. 9. A company borrowed $40,000 for six years at 6.5% compounded semiannually. Semiannual payments will be made to settle the loan. If the company decides to pay off the loan after five years, determine the balance due at the end of five years. ($11,854.92) 10. A couple plans to save $10,000 for a down payment. In order to accumulate the $10,000 the couple decides to make quarterly deposits at the end of each quarter for four years into an account which pays 9.4% compounded quarterly. After two years, they decide to buy a house, how much will they will need at the this time in order to have $10,000? 8. A car is purchased for $8,990. Determine the number of full payments needed and the size of the smaller concluding payment if the interest rate is 8.4% compounded monthly and: a) $200 is paid at the end of each month. b) $400 is paid at the end of each month. 9. A company borrowed $40,000 for six years at 6.5% compounded semiannually. Semiannual payments will be made to settle the loan. If the company decides to pay off the loan after five years, determine the balance due at the end of five years. ($11,854.92) 10. A couple plans to save $10,000 for a down payment. In order to accumulate the $10,000 the couple decides to make quarterly deposits at the end of each quarter for four years into an account which pays 9.4% compounded quarterly. After two years, they decide to buy a house, how much will they will need at the this time in order to have $10,000