Bill Casler bought a $$9000,9-$month certificate of deposit $($CD$)$ that would earn $8\%$ annual simple interest.

$($a$)$ What is the value of the $CD$ when it matures?

$

$($b$)$ Three months before the CD was due to mature, Bill needed his CD money, so a friend agreed to lend him money and receive the value of the CD when it maturec If their agreement allowed the friend to earn a $10\%$ annual simple interest return on his loan to Bill, how much did Bill receive from his friend? $($Round your answer to the nearest cent.$)$

$

$($c$)$ What annual simple interest rate did Bill Casler end up making on his investment? Round your answer to two decimal places.

$\%$