A country's population 1994 was 52 million. In 2000 it was 55 million. Estimate the population in 2003 using the exponential growth formula. Round your answer to the nearest million
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Answer:
Popul@1994 = 52,000,000
P@2000 = 55,000,000
P@2003 = ?
r = ?
Equation: P = Po * e^(rt)
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Solve r:
P/Po = e^(rt)
ln(P/Po) = rt
r = ln(P/Po)/t
r = ln(P@2000/P@1994)/(2000-1994)
r = ln(55M/52M)/6
r = 0.009348
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Solve for P@2003
t = 2003 - 1994 = 9
P@2003 = P@1994 * e^(rt)
P@2003 = 52M * e^(0.009348*9)
P@2003 = 56,564,292.9
approximately 57M.
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