Mike borrowed $$200,000$ from his father, the banker, to purchase a house. Mike paid back $$300,000$ to his father at the end of $20$ years. What was the average annual compound rate of interest on Mike$$s loan from his father?

Group of answer choices

$2\mathrm{.}05\%$

$7\mathrm{.}97\%$

$3\mathrm{.}12\%$

$4\mathrm{.}69\%$erry has been investing $$5,000$ at the end of each year for the past $10$ years. How much is in the account assuming he earned a $10\%$ return with inflation averaging $3\%?$

Group of answer choices

$$73,070\mathrm{.}48$

$$69,082\mathrm{.}24$

$$79,687\mathrm{.}12$

$$68,420\mathrm{.}54$