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A plant will become invasive when the number of plants reaches 10,000. There are 500 plants, and the annual growth rate is 7%. How many years will it take for the plant to become invasive?

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mathmate

Answer:

It will take 44.3 years to reach 10,000 plants.

Step-by-step explanation:

the function describing the growth is

f(t) = 500*(1.07^t)  = 10000

Take log on both sides

t*log(1.07) = log(10000/500)

t = log(20)/log(1.07) = 44.277 years

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