You expect to receive $$3,300$ upon your graduation and will invest your windfall at an interest rate of $\mathrm{.}47$ percent per quarter until the account is worth $$4,900.$ How many years do you have to wait until you reach your target account value?

Multiple Choice

$21\mathrm{.}08$ years

$19\mathrm{.}67$ years

$21\mathrm{.}22$ years

$18\mathrm{.}44$ years