A rubber ball is dropped onto a hard surface from a height of 5 feet, and it bounces up and down. At each bounce it rises to 85% of the height from which it fell. (Hint: Read all units carefully!) 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 9th bounce? h=  c) How many bounces before the ball rises no higher than an inch?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 2E
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A rubber ball is dropped onto a hard surface from a height of 5 feet, and it bounces up and down. At each bounce it rises to 85% of the height from which it fell. (Hint: Read all units carefully!)

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 9th bounce?

h= 

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

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