Solve the problem.
-A ball is dropped from a height of 36 feet. On each bounce, it bounces to $87 \%$ of its previous height. How high does it get after the 8th bounce? (Round to the nearest hundredth, if necessary.)
A) 13.58 feet
B) 276.92 feet
C) 11.82 feet
D) 186.03 feet

Question

Quizplus · Accepted Answer

The height after each bounce can be found using the formula for the height after n bounces: $height = initial\_height \times (bounce\_factor)^n$. Here, the initial height is 36 feet, the bounce factor is 0.87 (since it bounces back to 87% of its previous height), and n is 8 (for the 8th bounce). Thus, the height after the 8th bounce is $36 \times 0.87^8$, which approximately equals 11.82 feet.

Solve the Problem 87%87 \%87% Of Its Previous Height

Solve the Problem $87 \%$ Of Its Previous Height