SOLUTION: The population of a particular country was 29 million in 1980; in 1986, it was 37 million. The exponential growth function {{{A=29e^kt}}} describes the population of this country t

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The population of a particular country was 29 million in 1980; in 1986, it was 37 million. The exponential growth function {{{A=29e^kt}}} describes the population of this country t      Log On


   



Question 245976: The population of a particular country was 29 million in 1980; in 1986, it was 37 million. The exponential growth function A=29e%5Ekt describes the population of this country t years after 1980. Use the facts that 6 years after 1980 the population increased by 8 million to find k to three decimal places.
Answer by nerdybill(7384) About Me  (Show Source):
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The population of a particular country was 29 million in 1980; in 1986, it was 37 million. The exponential growth function A=29e%5Ekt describes the population of this country t years after 1980. Use the facts that 6 years after 1980 the population increased by 8 million to find k to three decimal places.
.
A=29e%5E%28kt%29
The problem gives you:
A = 29+8 = 37
t = 6
.
A=29e%5E%28kt%29
37=29e%5E%286k%29
37%2F29+=+e%5E%286k%29
ln%2837%2F29%29+=+6k
ln%2837%2F29%29%2F6+=+k
0.041+=+k