Annual Growth Rate The exponential growth function for the

Chapter , Problem 4.6.55

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Annual Growth Rate The exponential growth function for the population of a city is where is N(t) = 78,245e0.0245t in years. Because e0.0245t = (e0.0245)t L (1.0248)twe can write the growth function as N(t) = 78,245(1.0248)t L 78,245a1 +0.02481 b1 # t. In this form we can see that the citys population is growing by 2.48% per year. The population of the city of Lake Tahoe, Nevada, can be modeled by the exponential growth function N(t) = 22,755e0.0287t. Find the annual growth rate, expressed as a percent, of Lake Tahoe. Round to the nearest hundredth of a percent.

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