Juan is leasing a new car. The price of the car is 35,000. The terms of the lease go as follows. There are 120 monthly payments with the rst payment being one month from now. The nominal rate of interest is 8.4% convertible monthly. The payments in the rst year are X. In the second year, the payments are 0.9X, in the third 0.92X and so on. Just after his 60th payment, Juan sells his car for Y dollars. Before Juan receives a check, he rst must pay o the outstanding loan balance still owed just after his 60th payment to the lender. What is the smallest value of Y such that Juans check is at least 20000?

(a) 15,000-15,500 (b) 23,500-24,000 (c) 34,500-35,000 (d) 41,000-41,500 (e) 44,000-44,500