Assume that you contribute $$180$ per month to a retirement plan for $15$ years. Then you are able to increase the contribution to $$380$ per month for the next $25$ years. Given a $9\mathrm{.}0$ percent interest rate, what is the value of your retirement plan after the $40$ years? $($Do nor round intermediate calculations and round your final answer to $2$ decimal places.$)$

Future value of multiple annuities