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The new Bamo Super Ball has a rebound ratio of 0.97. If you dropped the ball from a
height of 125 feet, how high will it bounce on the tenth bounce?

Please help thank you!!

Respuesta :

Answer:

92.18 feet

Step-by-step explanation:

t(n)=125(.97)^x

t(10)=124(.97)^10

Sequence cant have partial or discrete bounce

ivycoveredwalls

Answer:

92.18 ft

Step-by-step explanation:

The rebound ratio 0.97 means the ball will rebound 97% of its height on the previous bounce.

Bounce    Height

1                125(0.97) = 121.25

2               125(0.97)(0.97) = 117.6125

3               125(0.97)(0.97)(0.97) = 114.084125

See a pattern?

Bounce     Height

1                125(0.97)

2               125(0.97)^2

3               125(0.97)^3    the exponent matches the bounce number

Tenth bounce:

10             125(0.97)^10 = 92.18 (rounded to 2 places)

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