In a city with a population of 160,000, there are currently 1,000 cases of hepatitis. If the spread of the disease is projected by the following logistic function, how many people will contract the hepatitis virus after 4 years? (Round your answer to the whole number.) P(t) =  160,000 1 + (160 − 1)e−0.2t

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 34E
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In a city with a population of 160,000, there are currently 1,000 cases of hepatitis. If the spread of the disease is projected by the following logistic function, how many people will contract the hepatitis virus after 4 years? (Round your answer to the whole number.)
P(t) = 
160,000
1 + (160 − 1)e−0.2t
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