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#34599

applications

functions

exponential

hard

90 sec

A certain type of rubber ball bounces upward $60%$ of the height it falls each time it hits the ground. If, after hitting the ground for the third time, the ball's maximum height above the ground was $2.16$ feet, what was the original height, in feet, from which the ball was dropped?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.