SOLUTION: The population of Guatemala in 2000 was 12.7 million. Assuming exponential growth, what would be the size of the population after time t (measured in years after 2000) if the popul

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The population of Guatemala in 2000 was 12.7 million. Assuming exponential growth, what would be the size of the population after time t (measured in years after 2000) if the popul      Log On


   

Question 1091383: The population of Guatemala in 2000 was 12.7 million. Assuming exponential growth, what would be the size of the population after time t (measured in years after 2000) if the population was 15 million in 2020? Assuming exponential growth, what would be the size of the population after time t (measured in years after 2000) if the population was 15 million in 2125?
Answer by josgarithmetic(39618) About Me  (Show Source):
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population of Guatemala in 2000 was 12.7 million. Assuming exponential growth, what would be the size of the population after time t (measured in years after 2000) if the population was 15 million in 2020?
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y=p%2Ae%5E%28kt%29
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15=12.7%2Ae%5E%28k%2A20%29, because t=2020-2000=20;
e%5E%2820k%29=15%2F12.7
e%5E%2820k%29=1.1811
20k=ln%281.1811%29
k=ln%281.1811%29%2F20
k=0.00832
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highlight%28y=12.7%2Ae%5E%280.00832t%29%29