A Super Ball rebounds to approximately 95% of the height from which it is dropped.If the ball is dropped from a height of 20 meters, how high will it rebound after the 10th bounce?
A)12.97 meters
B)1137.60 meters
C)11.97 meters
D)12.37 meters
E)12.77 meters

Question

Quizplus · Accepted Answer

After the first bounce, the ball reaches a height of 20 x 0.95 = 19 meters. After the second bounce, it reaches 19 x 0.95 = 18.05 meters. After the third bounce, it reaches 18.05 x 0.95 = 17.15 meters, and so on.
Therefore, after the 10th bounce, the height of the ball will be:
20 x (0.95)^10 = 11.97 meters. 
Hence, the correct answer is C.

A Super Ball Rebounds to Approximately 95% of the Height