Assume you can earn $7\%$ per year on your investments.

a$.$ If you invest $$50,000$ for retirement at age $30,$ how much will you have $35$

years later for retirement?

b$.$ If you wait until age $40$ to invest the $$50,000,$ how much will you have $25$

years later for retirement?

c$.$ Why is the difference so large?

a$.$ If you invest $$50,000$ for retirement at age $30,$ how much will you have $35$

years later for retirement?

The amount of money you will have $35$ years later for retirement is $

$($Round to the nearest cent.$)$