31. You just graduated and you decided to purchase a new sports car to enjoy your newtound freedom. Your local credit union will provide financing for 84 months at a 15.2 percent annual rate, compounded monthly. The drive-out price of the car you are buying is $37,500. You must make a 10% down payment (i.e., you must pay the dealer $3,750 immediately) and then you will finance the remaining 90 percent of the purchase price with your credit union (i.e., with a 84 -month loan at a rate of 12.5 percent p.a., compounded monthly). If your first payment is due exactly one month from today, what will be your required monthly payment? 32. Exactly five years from today, Prisha would like to buy a new living room set (couch, chairs, tables and lamps) with cash. Prisha currently has $750 saved in an investment account that pays interest of 4.25% p.a., but with monthly compounding. If Prisha deposits an additional \$53 per month (with the first deposit made one month from today) into the account, what is the maximum amount that Prisha will be able to pay for her entertainment system exactly 5 years from today? 33. What is the future value exactly twelve years after the last deposit of 65 annual deposits of $2,800 per year (first deposit to be made today) given an interest rate of 8.8% p.a