SOLUTION: the formula A=10.1e^0.005t models the population of Los Angeles, in millions, t years after 1995. if the growth rate continues into the future, when will the population reach 13 m

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Question 435519: the formula A=10.1e^0.005t models the population of Los Angeles, in millions, t years after 1995. if the growth rate continues into the future, when will the population reach 13 million?
Found 2 solutions by nerdybill, edjones:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
the formula A=10.1e^0.005t models the population of Los Angeles, in millions, t years after 1995. if the growth rate continues into the future, when will the population reach 13 million?
.
A=10.1e^0.005t
13 = 10.1e^0.005t
13/10.1 = e^0.005t
ln(13/10.1) = 0.005t
ln(13/10.1)/0.005 = t
50.48 = t
.
1995 + 50.48 = 2045.48

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
A=10.1e^0.005t
10.1e^0.005t=13
e^0.005t=13/10.1
ln(e^0.005t)=ln(13/10.1)
0.005t=ln(13/10.1)
t=50.48 yrs
1995+50=2045
.
Ed