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22 May 2016, 13:54
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C
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78% (01:16) correct
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After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?
A. 20
B. 15
C. 8
D. 5
E. 3.2
A. 20
B. 15
C. 8
D. 5
E. 3.2
General Discussion
DensetsuNo
Joined: 11 Oct 2015
Last visit: 05 Aug 2023
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Schools: HBS 2+2 '22 MIT Sloan MSMS"18
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22 May 2016, 14:43
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Uhm in this case the calculations are a bit tricky,
the initial height was \(125/0,4\) -> \(125*\frac{10}{4}\)->\(\frac{1250}{4}\) -> \(312,5\)
at the fourth drop the height will have been reduced by \(0,4*0,4*0,4*0,4= 0,2^8 = 0,0256 ≈ 2,5\)%
\(3,125*\frac{10}{4}\) -> let's round it up -> \(\frac{32}{4} -> 8\)
C)
the initial height was \(125/0,4\) -> \(125*\frac{10}{4}\)->\(\frac{1250}{4}\) -> \(312,5\)
at the fourth drop the height will have been reduced by \(0,4*0,4*0,4*0,4= 0,2^8 = 0,0256 ≈ 2,5\)%
\(3,125*\frac{10}{4}\) -> let's round it up -> \(\frac{32}{4} -> 8\)
C)
