Bill Anderson buys an automobile every 2 years at follows: initially he makes a down payment of $600C on a $15,000 car. The balance is paid in 24 equal monthly payments with annual interest at 12%. Where he has made the last payment on the loan, he trade! in the 2-year-old car for $6000 on a new $15,000 car and the cycle begins over again. Doug Jones decided on a different purchase plan He thought he would be better off if he paid $15,00C cash for a new car. Then he would make a monthly de posit in a savings account so that, at the end of2 years he would have $9000 in the account. The $9000 palm the $6000 trade-in value of the car will allow Dou to replace his 2-year-old car by paying $9000 for, new one. The bank pays 6% interest, compounded quarterly. ' . .

(a) What is Bill Anderson's monthly payment to pa) off the loan on the car?

(b) After he purchased the new car for cash, ho" much per month should Doug Jones deposit ii his savings account to have sufficient money for the next car two years hence?

(c) Why is Doug's monthly savings account deposit smaller than Bill's payment?