MBTS Finance Co plans to update its equipment at a total cost of $$90000$

$.$Management anticipates making a $$15000$

$$down payment and borrowing the remainder from a local commercial bank at

$12$ percent interest. The first option provides for five equal, annual payments to be made at the end of the year. The second option requires five equal, annual payments plus a balloon payment of $$15000$

$$at the end of the fifth year. What are the annual payments required by each option?