A native wolf species has been reintroduced into a national forest. Originally 200 wolves were transplanted, and after 3 years the population had grown to 665 wolves. If the population grows exponentially according to the formula P₁ = Po(1 + r)t (a) Find the growth rate. Round your answer to the nearest tenth of a percent. = %

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A native wolf species has been reintroduced into a national forest. Originally 200 wolves were transplanted,
and after 3 years the population had grown to 665 wolves. If the population grows exponentially according
to the formula P₁ = Po(1 + r)t
(a) Find the growth rate. Round your answer to the nearest tenth of a percent.
r =
(b) If this trend continues, how many wolves will there be in ten years?
wolves
(c) If this trend continues, how long will it take for the population to grow to 1000 wolves? Round your
answer to the nearest tenth of a year.
years
Transcribed Image Text:A native wolf species has been reintroduced into a national forest. Originally 200 wolves were transplanted, and after 3 years the population had grown to 665 wolves. If the population grows exponentially according to the formula P₁ = Po(1 + r)t (a) Find the growth rate. Round your answer to the nearest tenth of a percent. r = (b) If this trend continues, how many wolves will there be in ten years? wolves (c) If this trend continues, how long will it take for the population to grow to 1000 wolves? Round your answer to the nearest tenth of a year. years
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