Problem $1($This problem will need to show work$)$

A T$-$bill with face value of $$10,000$ and $97$ days to maturity is selling at a bank discount ask yield of $3\mathrm{.}0\%?$

What is the price of the bill? $($$$9,919\mathrm{.}17)$

What is the bond equivalent yield? $(3\mathrm{.}06645\%)$

What is the effective annual yield? $(3\mathrm{.}10\%)$