Simple and Compound Interest Problems

A friend lends you $$200$ for a week, which you agree to repay with $5\%$ one$-$time interest. How much will you have to repay?

You deposit $$2,000$ in an account earning $3\%$ interest compounded monthly.

a$.$ How much will you have in the account in $20$ years?

b$.$ How much interest will you earn?

How much would you need to deposit in an account now in order to have $$6,000$ in the account in $8$ years? Assume the account earns $6\%$ interest compounded monthly.

Annuities Problems

$4.$ Jelissa has determined she needs to have $$800,000$ for retirement in $30$ years. Her account earns $6\%$ interest.

a$.$ How much would he need to deposit in the account each month?

b$.$ How much total money will he put into the account?

c$.$ How much total interest will he earn?