SOLUTION: A bird species in danger of extinction has a population that is decreasing exponentially (A=A_0e^kt). 8 years ago the population was at 1470 and today only 840 of the birds are al

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Question 1145227: A bird species in danger of extinction has a population that is decreasing exponentially (A=A_0e^kt).
8 years ago the population was at 1470 and today only 840 of the birds are alive. Once the population drops below 120, the situation will be irreversible. When will this happen?
Hint: When you find k, round it to 6 decimals and use that value to answer the question.

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
A=A%5Bo%5De%5E%28kt%29

If t=0 were 8 years ago, and t=8 were today, then
840=1470%2Ae%5E%288k%29
840%2F1470=e%5E%288k%29
0.57142857142=e%5E%288k%29
ln%280.57142857142%29=8k
k=-0.069952
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Model Equation, highlight_green%28A=840%2Ae%5E%28-.069952t%29%29
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