$5.$Moana will receive $$25,000$ in two years when she graduates. When she receives it$,$ she will invest it for $6$

more years at $7\mathrm{.}5$ percent per year. How much money will she have $8$ years from now?

$6.$You are hoping to have $$10,000$ in your account $7$ years from today to go a trip. If your current balance is

$$6,000,$ what APR $($compounded monthly$)$ would be required if you are to have $$10,000$ in your account

in $7$ years?

$7.$How much interest will be earned in an account into which $$1,000$ is deposited for one year with

continuous compounding at a $13$ percent rate?