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 first payment
being one month from now. The nominal rate of interest is 8.4% convertible
monthly. The payments in the first year are X.
In the second year, the payments
are 1.01X, in the third 1.01 X^2 and so on. Just after his 60th payment, Juan
sells his car for Y dollars. Before Juan receives a check, he first must pay off the outstanding loan balance still owed just after his 60th payment to the lender.
What is the smallest value of Y such that Juanís check is at least 20000?
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