Yagoda wants to buy a $$48,000\mathrm{.}00$ T$-$bill that matures on $2022-07-16.$ Her target price is $$44,455\mathrm{.}98,$ the $($annual$)$ simple interest rate is $9\mathrm{.}590\%$ and the daycount convention is ACT $/365.$ What is the last date on which she can still buy the T$-$bill? How much does she pay? $($Answer: $2021-09-15,$ $$44449\mathrm{.}68.)$