BE$15\mathrm{.}3($LO $2)$ AP Video Carvel Corp. issued $$500,000$ of $10-$year, $5\%$ bonds with interest payable semi$-$

annually. How much did Carvel receive from the sale of these bonds if the market interest rate was $($a$)4\%,($b$)5\%,$

and $($c$)6\%$