he change to a villages population over time can be represented using an exponential decay function.  P(t) = P0ert  (t ≥ 0)    P(t) represents the village population at time (t), measured in years. Initially at time t=0, there are 12,000 people in the village. After 4 years, only 5,000 people remain.  What is the minimum number of whole years it will take for the population to fall to 2 000?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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The change to a villages population over time can be represented using an exponential decay function. 

P(t) = P0ert  (t ≥ 0) 

 

P(t) represents the village population at time (t), measured in years. Initially at time t=0, there are 12,000 people in the village. After 4 years, only 5,000 people remain. 

What is the minimum number of whole years it will take for the population to fall to 2 000?

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