The function given by $y=f(x)$ shows the value of $$5000$ invested at $4\%$ interest compounded continuously, $x$ years after the money was originally invested.

Espa$$ol

$($Round your answers to the nearest cent.$)$

Value of $$5000$ with Continuous Compounding at $4\%$

Part $1$ of $3$

$($a$)$ Find the average amount earned per year between the $5$ th year and the $10$ th year.

The average amount earned between the $5$ th year and $10$ th year is $ per year.