SOLUTION: Suppose the population of a town is 3,400 in 2000. The population decreases at a rate of 2% every 20 years. What will be the projected population in 2040? Round your answer to the

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Question 891049: Suppose the population of a town is 3,400 in 2000. The population decreases at a rate of 2% every 20 years. What will be the projected population in 2040? Round your answer to the nearest whole number.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
Exponential Decay.

Using year 2000 as x=0 time, p for population, p=3400%2A0.02 after 1 year; 3400%2A0.02%2A0.02 after 2 years...
p depends on x according to highlight_green%28p=3400%2A%280.02%29%5Ex%29.

Your question asks about p for x=40.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Suppose the population of a town is 3,400 in 2000. The population decreases at a rate of 2% every 20 years. What will be the projected population in 2040? Round your answer to the nearest whole number.

Projected population in 2040: highlight_green%28highlight_green%283400%281-.02%29%5E40%29%29
After obtaining the answer, round to the nearest whole number, as requested.
You can do the check!!
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