You have been accepted into university. The university guarantees that your tuition will not increase

for the four years you attend. The first $$10,500$ tuition payment is due in six months. After that, the

same payment is due every six months until you have made a total of eight payments. The university

offers a bank account that allows you to withdraw money every six months and has a fixed APR of

$3\mathrm{.}7\%($compounded semi$-$annually$)$ guaranteed to remain the same over the next four 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? $($Note: Be careful not to round any intermediate steps less than six decimal places.$)$

The amount of money you must deposit today is $$,.($Round to the nearest cent.$)$