Assume the total cost of a college education will be $$400,000$ when your child enters college in $25$ years. You presently have $$25,000$ to invest. What annual rate of interest must you earn on your investment to cover the cost of your child's college education?

$9\mathrm{.}65$ percent

$10\mathrm{.}33$ percent

$11\mathrm{.}00$ percent

$11\mathrm{.}33$ percent

$11\mathrm{.}72$ percent