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28 July, 20:14

A ball is dropped from a height of 6 feet. The ball bounces to 40% of its previous height with each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?

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  1. 28 July, 20:20
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    Answer: 0.1 feet

    Step-by-step explanation:

    This is a case of Geometric sequence.

    First bounce = 40% of 6 feet

    First bounce = 2.4 feet

    second bounce = 40% of 2.4 feet = 0.96

    Third bounce = 40% of 0.96 = 0.384

    fourth bounce = 40% of 0.384 = 0.1536

    fifth bounce = 40% of 0.1536 = 0.06144

    Therefore : the ball is 0.1 feet to the nearest tenth of a foot
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