SOLUTION: population of a given town is given by the formula P=1500e.04t, where t= time in years and year 0 is the calendar year 2000 what is the popultion in 2000? in year 2010? what y

Question 41194: population of a given town is given by the formula P=1500e.04t, where t= time in years and year 0 is the calendar year 2000
what is the popultion in 2000? in year 2010? what year will the population reach 3000?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
This problem is really just a plug-in-the-values-and-calculate problem...our function is
P(t) = 1500e.04t
In 2000, t = 0, so
P(0) = 1500
In 2010, t = 10, so
P(10) = 1500*e^(.04*10) = 2237
For a population of 3000, we work backwards...
3000 = 1500*e^(.04t)
2 = e^(.04t)
ln 2 = .04t
t = ln 2 / .04
t = 17.32 or year 2018
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