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

Im not sure how to figure out t..

Question

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	

Im not sure how to figure out t..

anonymous · Answer

@cwrw238

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

A = 118e^(0.024t)

140 = 118e^(0.024t)

Now solve for t

anonymous · Answer

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? 
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
 B. 2005

anonymous · Answer

ohh okay that makes so much sense! thanks!

anonymous · Answer

Ur welcome