SOLUTION: The population (in millions) of a certain country follows the exponential growth model f(t)=14.2e^{0.018t}, t years after 1994. Predict the population in the year 2020.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The population (in millions) of a certain country follows the exponential growth model f(t)=14.2e^{0.018t}, t years after 1994. Predict the population in the year 2020.      Log On


   



Question 1170597: The population (in millions) of a certain country follows the exponential growth model f(t)=14.2e^{0.018t}, t years after 1994. Predict the population in the year 2020.
Answer by ikleyn(52803) About Me  (Show Source):
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The year 2020 is 16 years after 1994.


So, substitute the value of t = 16 into the formula


    f(16) = 14.2%2Ae%5E%280.018%2A16%29 = 14.2%2A2.71828%5E%280.018%2A16%29.


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