Solve the problem.

Henry Smith buys a $$110,000$ T$-$bill at a $5\mathrm{.}6\%$ discount for $22$ weeks. Find the purchase price of the T$-$bill. $($Assume $52$ weeks per year.$)$

Group of answer choices

$$104,787\mathrm{.}69$

$$107,393\mathrm{.}85$

$$108,696\mathrm{.}92$

$$107,133\mathrm{.}23$