A $3-$month $$24,000$ treasury bill with a simple annual discount rate of $0\mathrm{.}22\%$ was sold in

Assume $365$ days in a year.

$($a$)$ Find the price of the treasury bill $($T$-$bill$).$

$($b$)$ Find the actual interest rate paid by the Treasury.

$($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 $\%.$

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