Historically, Treasury bills offered higher rates. On January $2,2007,$ the discount rates were substantially higher than in July $2016.$ For the following Treasury bill bought in $2007,$ find $($a$)$ the price of the Treasury bill $($T$-$bill$),$ and $($b$)$ the actual interest rate paid by the Treasury. Assume $365$ days in a year.

Six$-$month $$21,500$ T$-$bill with simple annual discount rate of $3\mathrm{.}65\%$

$($a$)$ The price of the T$-$bill was $

$($Round to the nearest cent as needed.$)$