The rate of growth of a population P of an endangered bird is given by dP/dt = kP + N  where N is a constant representing the net increase in population per year resulting from the difference between immigration and emigration. If N = 200, and k = 0.1, P(0) = 10 500, in how many years will the population reach 1500? (Round off your answer to the nearest whole number).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The rate of growth of a population P of an endangered bird is given by dP/dt = kP + N  where N is a constant representing the net increase in population per year resulting from the difference between immigration and emigration. If N = 200, and k = 0.1, P(0) = 10 500, in how many years will the population reach 1500? (Round off your answer to the nearest whole number).

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