masondubois masondubois

07-04-2017
Mathematics

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suppose a countrys population in 1980 is 210 million. In 1990 it was 225 million using the A= 210 million if t=0 in 1980 find the value of t in 1990

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athan243 athan243

07-04-2017

P=Ae^kt
225 = 210 * e^(k*(1990-1980)
225/210=e^10k
ln(225/210)=10k
k=ln(225/210)/10=0.0069

P = 210*e^(0.0069t) for 2000 ===> t = 2000-1980=20

P = 210*e^(0.0069*20)

P=241.0749=241

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