Exponential Growth Formula Word Problem:
When the population growth of a certain city was studied, the population was 22,000. It was found that the population, P, grows with respect to time, t, in years by the exponential formula P = (22,000)(10^0.0163t). How long will it take for the city to double its population?

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so you need to solve for t when P = 44,000 correct?

Correct

My answer was 18.468 years. Is this correct?

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