500 = 12,375 * 0.7749^(n-1) n = ?

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asked Nov 21, 2019 39.7k views

3 votes

500 = 12,375 * 0.7749^(n-1)

n = ?

Mathematics
middle-school

Adam Barnes asked

by Adam Barnes

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1 Answer

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Divide by 12375 and take the logarithm.
.. 500/12375 = 0.7749^(n -1)
.. log(4/99) = (n -1)*log(0.7749)
.. n = 1 +log(4/99)/log(0.7749)
.. n ≈ 13.583

Bueller answered Nov 27, 2019

by Bueller

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