SOLUTION: the population of a particular country was 22 million in 1983. by 1991, the number had increased to 32 million. the exponential function A=22e^kt describes the population, A, milli

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: the population of a particular country was 22 million in 1983. by 1991, the number had increased to 32 million. the exponential function A=22e^kt describes the population, A, milli      Log On


   

Question 1114483: the population of a particular country was 22 million in 1983. by 1991, the number had increased to 32 million. the exponential function A=22e^kt describes the population, A, millions, of this country t years after 1983. find k, correct to three decimal places. use the resulting model to find the population in 2002.
Answer by josgarithmetic(39621) About Me  (Show Source):
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Year 1983 is for time t=0.
Year 2002 is for t=19.

A=22e%5E%28kt%29

From 1983 to 1991, is 8 years time, or t=8.

system%2822=22e%5E%28k%2A0%29%2C32=22e%5E%284k%29%29

e%5E%284k%29=32%2F22
e%5E%284k%29=16%2F11
ln%28e%5E%284k%29%29=ln%2816%2F11%29
4k=0.37469
k=0.37469%2F4
highlight%28k=0.0937%29