SOLUTION: Hello! The number of a certain species of fish is modeled by the function below where t is measured in years and n(t) is measured in millions. n(t) = 11e^0.014t After how m

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Question 199147: Hello!
The number of a certain species of fish is modeled by the function below where t is measured in years and n(t) is measured in millions.
n(t) = 11e^0.014t
After how many years will the number of fish reach 30 million? (Give your answer correct to one decimal place.?
thanks for your help!
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
30,000,000 = 11 e^ (.014t)
.
divide by 11
.
2,727.272.7 = e^ (.014T)
.
take ln of both sides, remember ln e^a = a
.
14.8188 = .014 t
.
divide by .014
.
1058.4866 = t
.
checking
.
11 * e ^( .014 * 1058.4866) = 30,000,000,,,,,ok