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Suppose a country's population in 1980 was 210 million. In 1990 it was 225 million.

Using the exponential growth formula, P = Ae^kt, estimate the country's population in 2000.

Before you can estimate the population P in 2000, you'll need to find A, t, and k. Start by finding A. Remember, A is the population at time t = 0. The value of A stays the same throughout a given problem.

If t = 0 in 1980, find the value of A. Round your answer to the nearest million.

User Thomas Nn
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2 Answers

3 votes
225/210=e^10k
1.0714285714285714285714285714286=e^10k
ln 1.0714285714285714285714285714286=ln e^10k=10k ln e=10k
k=0.00689928714869514514734197052474
P(2000)=210*e^0.00689928714869514514734197052474x20
P(2000)=241.07142 million

User Marlos
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4 votes

Answer:

210 million on plato

Explanation:

User Vishal Shah
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