Bradley dropped a ball from a roof 16 feet high. Each time the ball hits the ground, it bounces 3/5 the previous height. Find the height the

Question

Bradley dropped a ball from a roof 16 feet high. Each time the ball hits the ground, it bounces 3/5 the previous height. Find the height the ball will bounce after hitting the ground the fourth time.

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Sadie 3 weeks 2021-09-26T01:35:04+00:00 1 Answer 0

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    2021-09-26T01:36:11+00:00

    Answer:

    2.0736 feet

    Step-by-step explanation:

    After the first bounce, the ball rises to a height of ⅗(16) = 9.6.

    After the second bounce, the ball rises to a height of ⅗(9.6) = 5.76.

    After the third bounce, the ball rises to a height of ⅗(5.76) = 3.456.

    After the fourth bounce, the ball rises to a height of ⅗(3.456) = 2.0736.

    This can also be modeled as a geometric sequence.

    h = 16 (⅗)ⁿ

    h = 16 (⅗)⁴

    h = 2.0736

    Round as needed.

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45:7+7-4:2-5:5*4+35:2 =? ( )