You invested $$5,000$ in a mutual fund four years ago. The next year you made no investment, but the year after $($two years ago$)$ you invested $$2,000.$ If the fund earned $12\%$ each year, how much is the total investment worth today?

Group of answer choices

$$8,802$

$$8,780$

$$9,641$

$$9,990$

$$10,376$