# HS Calculus/math

suppose that in any given year, the population of a certain endangered species is reduce by 25%. if the population is now 7500, in how many years will the population be 4000?

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1. Solve this equation for n, the number of years:

4000 = 7500 * (0.75)^n

4000/7500 = 0.5333 = 0.75^n
n = (log 0.5333)/(log 0.75)

It will take a bit more than 2 years.

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posted by drwls

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