Your son has been accepted into college. This college guarantees that your son's tuition will not increase for the $4$

years he attends college. The first $$10,000$ tuition payment is due in six months. After that, the same payment is due

every six months until you have made a total of $8$ payments. The college offers a bank account that allows you to

withdraw money every six months and has a fixed APR of $9\%($semiannual$)$ guaranteed to remain the same over the

next $4$ years. How much money must you deposit today if you intend to make no further deposits and would like to

make all the tuition payments from this account, leaving the account empty when the last payment is made?

The $9\%$ APR $($semiannual$)$ implies a semiannual discount rate of $\%.($Round to two decimal places.$)$

The amount that you need to deposit today is $$.($Round to the nearest cent.$)$