John and Julie Johnson are interested in saving for their retirement. John and Julie have the same birthday$--$both are $50$ years old today. They started saving for their retirement on their $25$th birthday, when they received a $$20,000$ gift from Julie$$s aunt and deposited the money in an investment account. Every year thereafter, the couple added another $$5,000$ to the account. $($The first contribution was made on their $26$th birthday and the $25$th contribution was made today on their $50$th birthday.$)$ John and Julie estimate that they will need to withdraw $$150,000$ from the account $3$ years from now, to help meet

college expenses for their $5$ children. The couple plans to retire on their $58$th birthday, $8$ years from today. They will make a total of $8$ more contributions, one on each of their next $8$ birthdays with the last payment made on their $58$th birthday. If the couple continues to contribute $$5,000$ to the account on their birthday, how much money will

be in the account when they retire? $($assume that the investment account earns $12$ percent a year. $)$