A treasury bill has a face value of $$10000$ and matures in $13$ weeks. Assuming an interest rate of $12\mathrm{.}50\%,$ what is the price of the treasury bill?

$$2494\mathrm{.}00$

$$9994\mathrm{.}00$

$$9709\mathrm{.}84$

$$8888\mathrm{.}89$

$$10006\mathrm{.}00$