On April$1,$$$25,000\mathrm{.}00364-$day treasury bills were auctioned off to yield $2\mathrm{.}95\%.$

$($a$)$ What is the price of each $$$$25,000\mathrm{.}00$T$-$bill on April$1?$

$($b$)$ What is the yield rate on July $1$ if the market price is $$$$24,277\mathrm{.}84?$

$($c$)$ Calculate the market value of each $$$$25,000\mathrm{.}00$T$-$bill on September $3$ if the rate of return on that date is $3\mathrm{.}212\%.$

$($d$)$ What is the rate of return realized if a $$$$25,000\mathrm{.}00$T$-$bill purchased on April $1$ is sold on November $9$ at a market rate of $3\mathrm{.}604\%?$