A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 80% of the height from which it fell.

(a) Find a formula for $h(n)$, the height in inches reached by the ball on bounce $n$.
$h(n) =$

(b) How high will the ball bounce on the $9^{\mbox{th}}$ bounce?
$h =$ inches

(c) How many bounces before the ball rises no higher than an inch?
bounces