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.

Three$-$month $$15,000$ T$-$bill with a simple annual discount rate of of $3\mathrm{.}28\%$

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

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

$($b$)$ The actual interest rate paid by the Treasury is $3\mathrm{.}9672\%.$

$($Type an integer or decimal rounded to four decimal places as needed.$)$