The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 500,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 40,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time t, measured in days. NOTE: Enter an exact answer. P(t) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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The population of mosquitoes in a certain area increases at a rate
proportional to the current population, and in the absence of
other factors, the population doubles each week. There are
500,000 mosquitoes in the area initially, and predators (birds,
bats, and so forth) eat 40,000 mosquitoes/day. Determine the
population of mosquitoes in the area at any time t, measured
in days.
NOTE: Enter an exact answer.
P(t) =
Transcribed Image Text:The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 500,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 40,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time t, measured in days. NOTE: Enter an exact answer. P(t) =
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