A certain community consists of 4000 people, and one individual has a particularly contagious strain of influenza. Assuming the community has not had vaccination shots and are all susceptible, the spread of the disease in the community is modeled by 4000 А 1+ 3999e-0.45t where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 11 days? Round your answer to the nearest whole number. реople (b) What is the carrying capacity for this model? (c) How many days will it take for 300 people to contract the flu? Round your answer to the nearest whole number. days.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A certain community consists of 4000 people, and one
individual has a particularly contagious strain of influenza.
Assuming the community has not had vaccination shots and
are all susceptible, the spread of the disease in the
community is modeled by
4000
A
1+ 3999e- 0.45t
where A is the number of people who have contracted the
flu after t days.
(a) How many people have contracted the flu after 11
days? Round your answer to the nearest whole number.
people
(b) What is the carrying capacity for this model?
(c) How many days will it take for 300 people to contract
the flu? Round your answer to the nearest whole number.
days.
Transcribed Image Text:A certain community consists of 4000 people, and one individual has a particularly contagious strain of influenza. Assuming the community has not had vaccination shots and are all susceptible, the spread of the disease in the community is modeled by 4000 A 1+ 3999e- 0.45t where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 11 days? Round your answer to the nearest whole number. people (b) What is the carrying capacity for this model? (c) How many days will it take for 300 people to contract the flu? Round your answer to the nearest whole number. days.
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