SOLUTION: a. In​ 2000, the population of a country was approximately 6.18 million and by 2069 it is projected to grow to 12 million. Use the exponential growth model A=Aoe^kt​, in which

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: a. In​ 2000, the population of a country was approximately 6.18 million and by 2069 it is projected to grow to 12 million. Use the exponential growth model A=Aoe^kt​, in which       Log On


   

Question 1138614: a. In​ 2000, the population of a country was approximately 6.18 million and by 2069 it is projected to grow to 12 million. Use the exponential growth model A=Aoe^kt​, in which t is the number of years after 2000 and Ao is in​ millions, to find an exponential growth function that models the data.
b. By which year will the population be 15 ​million?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A%5Bo%5D=6.18
-
system%28t=69%2CA=12%29


FIND k
ln%2812%29=ln%286.18%2Ae%5E%2869k%29%29
ln%2812%29=ln%286.18%29%2B69k
ln%2812%29-ln%286.18%29=69k
k=%281%2F69%29%28ln%2812%2F6.18%29%29
k=0.009617

MODEL:
highlight%28A=6.18e%5E%280.009617t%29%29

The question #b means, evaluate A if t=15.