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 700,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 70,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time t, measured in days. NOTE: Enter an exact answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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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
700,000 mosquitoes in the area initially, and predators (birds,
bats, and so forth) eat 70,000 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 700,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 70,000 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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