Suppose the population of a country in 1985 was 145 million. In 1995 it was 190 million. Use the formula P = Ae kt to setup an expression to estimate the population of the country in 2005.

Verified Answer :

caylus

Hello,

14510^6=Ae^(k1985)  (1)
190
10^6=Ae^(k1995)  (2)

(2)/(1)==>190/145=e^(k10)
==>10
k=ln(38/29)==>k=1/10ln(38/29)


==>k=0,0270290....

145
10^6=Ae^(0.02702901985)
A=7,249810...e-16

P=7,249810...e-16 e^(0,02702902005)=248 965 517,24...
≈248.965517 *10^6


Answer:

P=190e20k

Step-by-step explanation: