$1)$ Your parents are complaining about the price of items today compared to what they cost years ago. If an automobile that cost $$12,000$ in $1980$ costs $$40,000$ in $2010,$ calculate the annual growth rate in the automobile's price.

$2)$ Joe borrowed $$10,000$ at $10\%$ per year and promised to pay it back in equal annual installments at the end of each of the next $5$ years. Joe's payment will be $$2,100[($$$10,000/5)+($$$10,000\backslash$times $10\%)].$ Is this true or false? Show your calculations