Assume that you contribute $$300$ per month to a retirement plan for $15$ years. Then you are able to increase the contribution to $$600$ per month for another $25$ years. Given a $6\mathrm{.}0$ percent interest rate, what is the value of your retirement plan after the $40$ years?

Note: Do not round intermediate calculations and round your final answer to $2$ decimal places.

Future value of multiple annuities