Question $10$

$0\mathrm{.}5$ pts

Reagan receives an inheritance from her grandmother of $$15,000$ and promptly invests it in a mutual fund that yields a $9\mathrm{.}6\%$ annual return. If Reagan withdraws $$3,200$ at the beginning of each year to pay for violin lessons for her $12$ children, how long will the $$15,000$ last?

$3\mathrm{.}838$ years

$4\mathrm{.}747$ years

$5\mathrm{.}767$ years

$6\mathrm{.}522$ years