A certain community consists of 3600 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

`A = 3600/(1+3599 e^(-0.4t))`

where A is the number of people who have contracted the flu after t days.

(a) How many people have contracted the flu after 10 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 475 people to contract the flu? Round your answer to the nearest whole number.

days.