You feel that you will need $$2\mathrm{.}7$ million in your retirement account and when you reach that amount, you plan to retire. You feel you can earn an APR of $10\mathrm{.}7$ percent compounded monthly and plan to save $$380$ per month until you reach your goal. How many years will it be until you reach your goal and retire?

Multiple Choice

$33\mathrm{.}51$ years

$49\mathrm{.}34$ years

$36\mathrm{.}09$ years

$40\mathrm{.}97$ years

$39\mathrm{.}09$ years