A country's population in 1991 was 48 million. In 2002 it was 51 million. estimate the population in 2008 using the exponential growth formula. Round to nearest million.
Question
Answer:
Using exponential growth, we get P1=P0*e^rt, where P1 is the result population, P0 is the initial population, r is the rate, and t is time. So:51=48*e^11r
1.0625=e^11r
ln 1.0625=ln e^11r=11r ln e=11r
r=ln 1.0625/11=0.0055
Then
51*e^0.00551132925603953114369146654913*(2008-2002)=51*1.0336207977813425465939939376231=52.71466 million as the population
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