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cory drops a bouncing ball form a height of 50 ft and it rebounds to 90% of its previous height.find the total distance the ball will have travelled when it hits the ground for the fifth time

• math -

50 + .9 * 2 * 50 + .9^2*2*50 +.9^3*2*50 +.9^4 *2 * 50

= -50 +100 + 100 (.9^1 +.9^2 + .9^3 + .9^4)

-50 + geometric series g=100 n = 5, r = .9 in

Sum5 = 100(1-.9^4)/(1-.9)
= 100 (.3439)/.1 = 344
-50 + 344 = 294

• math -

An apple farmer went to town to sell a truck full of apples. At his first stop, he sold 1/3 of his apples. On the way to the next stop, he wrecked his truck and lost 1/3 of the remaining apples. Of those left, the farmer gave away 1/2 to some children. He then has 80 apples left. How many apples did the farmer have when he started his trip?

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