$($Related to Checkpoint $5\mathrm{.}2)($Future value$)$ Leslie Mosallam, who recently sold her Porsche, placed $$10,600$ in a savings account paying annual compound interest of $6$ percent.

a$.$ Calculate the amount of money that will accumulate if Leslie leaves the money in the bank for $3,7,$ and $17$ year$($s$).$

b$.$ Suppose Leslie moves her money into an account that pays $8$ percent or one that pays $10$ percent. Rework part $($a$)$ using $8$ percent and $10$ percent.

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

a$.$ After placing $$10,600$ in a savings account paying annual compound interest of $6$ percent, the amount of money that will accumulate if Leslie leaves the money in the bank for $3$ year$($s$)$ is $$.($Round to the nearest cent.$)$

If she leaves the money in the bank for $7$ years, the amount of money that will accumulate is $ $($Round to the nearest cent.$)$

If she leaves the money in the bank for $17$ years, the amount of money that will accumulate is $$.($Round to the nearest cent.$)$

b$.$ If Leslie moves her money into an account that pays $8$ percent compounded annually for $3$ year$($s$),$ the amount of money that will accumulate is $

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

If Leslie moves her money into an account that pays $8$ percent compounded annually for $7$ years, the amount of money that will accumulate is $$.($Round to the nearest cent.$)$

If Leslie moves her money into an account that pays $8$ percent compounded annually for $17$ years, the amount of money that will accumulate is $$.($Round to the nearest cent.$)$

If Leslie moves her monev into an account that pavs $10$ percent compounded annually for $3$ vear$($s$).$ the amount of monev that will accumulate is $$.($Round to the

$($Related to Checkpoint $5\mathrm{.}2)($Future value$)$ Leslie Mosallam, who recently sold her Porsche, placed $$10,600$ in a savings account paying annual compound interest of $6$ percent.

a$.$ Calculate the amount of money that will accumulate if Leslie leaves the money in the bank for $3,7,$ and $17$ year$($s$).$

b$.$ Suppose Leslie moves her money into an account that pays $8$ percent or one that pays $10$ percent. Rework part $($a$)$ using $8$ percent and $10$ percent.

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

If Leslie moves her money into an account that pays $8$ percent compounded annually for $7$ years, the amount of money that will accumulate is $Ldarr. $($Round to the nearest cent.$)$ If Leslie moves her money into an account that pays $8$ percent compounded annually for $17$ years, the amount of money that will accumulate is $ $($Round to the nearest cent.$)$ If Leslie moves her money into an account that pays $10$ percent compounded annually for $3$ year$($s$),$ the amount of money that will accumulate is $$.($Round to the nearest cent.$)$

If Leslie moves her money into an account that pays $10$ percent compounded annually for $7$ years, the amount of money that will accumulate is $ $($Round to the nearest cent.$)$ If Leslie moves her money into an account that pays $10$ percent compounded annually for $17$ years, the amount of money that will accumulate is $$.($Round to the nearest cent.$)$

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

There is a $,7$ relationship between the interest rate used to compound a present sum and the future value of that sum. There is a relationship between the number of years for which the compounding continues and the future value of that sum. $($Select from the drop$-$down menus.$)$