SOLUTION: In a town whose population is 3500, a disease creates an epidemic. The number of people N infected after t days after the disease has begun, is given by the function N = 3500/1

Question 190670: In a town whose population is 3500, a disease creates an epidemic. The number of people N infected after t days after the disease has begun, is given by the function
N = 3500/1 + 19.9e^-0.6t
Find the number of people infected after 15 days.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Plug in .

Multiply -0.6 and 15 to get -9

Raise "e" to the negative 9th power to get 0.000123

Multiply 19.9 and 0.000123 to get 0.00245

Add 1 to 0.00245 to get 1.00245

Divide

So rounding to the nearest whole number (since 0.445 of a person doesn't make sense), we get 3,491 people.

So after 15 days, about 3,491 people are infected.
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