$5$ years ago, you borrowed money to buy a house.You plan on contributing $$6,000($at the end of each month$)$ into an

investment account that earns an APR $($based on monthly

compounding$)$ of $4\mathrm{.}68\%.$ If you continue doing so for $4$ years, how

much will you have in your account in exactly $4$ years?

To nearest $$0\mathrm{.}01$

Your interest rate was quoted as an APR of $5\mathrm{.}04\%,$ based on monthly

compounding.

The original loan was for $15$ years.

Each of your remaining end$-$of$-$the$-$month payments is $$8,000?$You are going to make the following contributions into a savings

account:

Year $1$: $$0(1$ year from today$)$

Year $2$: $$1000$

Year $3$: $$1000$

Year $4$: $$2000$

Year $5$: $$0$

Year $6$: $$0$

The account will earn $7\mathrm{.}23\%$ in interest per year. How much will be in

the account exactly $6$ years from today?

To nearest $$0\mathrm{.}01$

What is the remaining balance on the loan?

To nearest $$0\mathrm{.}01$