You just inherited $$100,000$ from your Grandmother. You deposit this money into an account earning $7$ percent per year. You plan to keep this money in the bank until you retire $($in $35$ years$).$ You also plan to save $$3000$ per year starting in five years $(30$ years prior to retirement$).$ These monies will only earn interest at the rate of $6$ percent. Starting $10$ years prior to retirement, you plan to save an additional sum of $$5000$ per year. This money will earn interest at the rate of $7$ percent per year. When you retire, how much money will you have in your account?