If you deposit $$4,000$ at the end of each of the next $20$ years into an account paying $9\mathrm{.}7$ percent interest, how much money will you have in the account in $20$ years? How much will you have if you make deposits for $40$ years?

$4$

$3$

Annual deposit

Number of years

Interest rate on annuity

Number of years

$

$4,000$

$7$

$8$

$9$

$10$

$11$

$12$

$13$

$14$

Complete the following analysis. Do not hard code values in your calculations. All answers should be positive.

Future value for $20$ years

Future value for $40$ years