A virus is believed to be spreading through a sheep farm according to the equation   N= 450(1/1+249e-0.1t) where N is the number of sheep infected and t is the numeber of days.   1. How many sheep are infected at t=0? 2. Calculate the number of sheepinfected after 0, 10, 30, 50, 70 and 100 days. 3. Will all sheep become infected eventually? Give reasons to support answer.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CT: Test
Problem 21CT
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A virus is believed to be spreading through a sheep farm according to the equation

 

N= 450(1/1+249e-0.1t) where

N is the number of sheep infected and t is the numeber of days.

 

1. How many sheep are infected at t=0?

2. Calculate the number of sheepinfected after 0, 10, 30, 50, 70 and 100 days.

3. Will all sheep become infected eventually? Give reasons to support answer.

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