Javier wants to buy a $$36,000\mathrm{.}00$ T$-$bill that matures on $2016-04-13.$ His target price is $$35,149\mathrm{.}69,$ the $($annual$)$ simple interest rate is $4\mathrm{.}280\%$ and the daycount convention is ACT $/360.$ What is the last date on which he can still buy the T$-$bill? How much does he pay?