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The formula A = 118e^0.024t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 140 thousand? A. 2008 B. 2005 C. 2006 D. 2007
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IS B 2005 CORRECT
140 = 118 e^0.024t 140/118 = e^0.024t ln(140/118) = 0.024t t = ln(140/118)/0.024 = 7 years 1998 + 7 = 2005 so yes
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