Two years ago, Lou Marshall, Inc. deposited $$11,418$ in an investment account for the purpose of buying new equipment three years from today. Last year, it added another $$13,467$ to this account. The company plans on making a final deposit of $$10,550$ to the account today. How much will be available when it is ready to buy the equipment, assuming the company earns $10\mathrm{.}56\%$ APR on its invested funds? Choose the closest amount.

Group of answer choices

$$53,240\mathrm{.}71$

$$48,155\mathrm{.}49$

$$47,887\mathrm{.}75$

$$58,862\mathrm{.}93$

$$39,395\mathrm{.}78$