compound interest of $4$ percent.

a$.$ Calculate the amount of money that will accumulate if Leslie leaves the money in the bank for $2,6,$ and $16$ year$($s$).$

b$.$ Suppose Leslie moves her money into an account that pays $6$ percent or one that pays $8$ percent. Rework part $($a$)$ using $6$ percent and $8$ percent.

c$.$ What conclusions can you draw about the relationship between interest rates, time, and future sums from the calculations you just did?

If she leaves the money in the bank for $16$ years, the amount of money that will accumulate is $$18,729\mathrm{.}81.($Round to the nearest cent.$)$

b$.$ If Leslie moves her money into an account that pays $6$ percent compounded annually for $2$ year$($s$),$ the amount of money that will accumulate is $$11,236\mathrm{.}00.($Round to the nearest cent.$)$

If Leslie moves her money into an account that pays $6$ percent compounded annually for $6$ years, the amount of money that will accumulate is $$14,185\mathrm{.}19.($Round to the nearest cent.$)$

If Leslie moves her money into an account that pays $6$ percent compounded annually for $16$ years, the amount of money that will accumulate is $$25,403\mathrm{.}52.($Round to the nearest cent.$)$

If Leslie moves her money into an account that pays $8$ percent compounded annually for $2$ year$($s$),$ the amount of money that will accumulate is $$11,664\mathrm{.}00.($Round to the nearest cent.$)$

If Leslie moves her money into an account that pays $8$ percent compounded annually for $6$ years, the amount of money that will accumulate is $$15,868\mathrm{.}74.($Round to the nearest cent.$)$

If Leslie moves her money into an account that pays $8$ percent compounded annually for $16$ years, the amount of money that will accumulate is