You are trying to save enough to buy a $$160,000$ Ferrari. You have $$35,000$ today that can be invested at your bank. The bank pays $3\mathrm{.}2\%$ annual interest on its accounts. How long will it be before you have enough to buy the car? $($Round to two decimal places$).$

Group of answer choices

$46\mathrm{.}20$ years

$48\mathrm{.}25$

$15\mathrm{.}86$ years

$32\mathrm{.}71$ years