You plan to deposit $$578$ every month into your $401$ k and plan to do so for the next $30$ years. You found a balanced mutual fund which has earned an annual return of $9\mathrm{.}2\%$ for the past $20$ years. If this is your only retirement swinger, then how much will you have in your account when you retire?

Answer: $$

Mike has been discussing retirement with Lary, whom Mike has relied on for financial advice since right after graduating from college. Dased upon those discussions Mke believes he will need $$2732104.$ If Mie stal has $35$ years before he retires and belleves he can earn $40\mathrm{.}4\%$ annuaty, Bhen how much should Mhe deposit every month to meet his retirement goal?

Answer: $$