Biologists stocked a lake with 400400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 86008600. The number of fish grew to 650 in the first year. a)Find an equation for the number of fish P(t)P(t) after tt years P(t)=P(t)= . b) How long will it take for the population to increase to 43004300 (half of the carrying capacity)? It will take years. You may enter the exact value or round to 2 decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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Biologists stocked a lake with 400400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 86008600. The number of fish grew to 650 in the first year.

a)Find an equation for the number of fish P(t)P(t) after tt years
P(t)=P(t)=    .

b) How long will it take for the population to increase to 43004300 (half of the carrying capacity)?
It will take years.
You may enter the exact value or round to 2 decimal places.

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