# 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)   (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