question archive Steph Curry makes a three-point shot just before halftime of a basketball game

Steph Curry makes a three-point shot just before halftime of a basketball game

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Steph Curry makes a three-point shot just before halftime of a basketball game. The shot goes through the 10 foot tall net, and since it is halftime, nobody is around to collect it. Every time the ball bounces, it rebounds to 75% of its original height.

a) What is the height of the ball after it has bounced 4 times?

b) How long would it take for the height of the ball to be 1 foot?

 

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