$($Compound value$)$ Stanford$$ Simmons, who recently sold his$$

Porsche, placed $$$$10,400$ in a savings account paying annual compound

interest of $4$ percent.

a$.$ Calculate the amount of money that will have accrued if he

leaves the money in the bank for $2,5,$ and $15$ years.

b$.$ If he moves his money into an account that pays $6$ percent or

one that pays $8$percent$,$ rework part $$

using these new interest rates.

c$.$ What conclusions can you draw about the relationship between

interest$$ rates, time, and future sums from the calculations you

have completed in this$$ problem?