SOLUTION: A certain country's population P(t), in millions, t years after 1980 can be approximated by P(t) = 5.495(1.016)^t . In what year did the country's population reach 3 million? 1

Question 266545: A certain country's population P(t), in millions, t years after 1980 can be approximated by
P(t) = 5.495(1.016)^t .
In what year did the country's population reach 3 million?
1947
1932
1942
1952
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
We start with the following:
(i)
we are given the population of 3 million. Since the population is in millions, we only use 3.
From (i) we get
(ii)
divide by 5.495 to get
(iii)
take a log of both sides to get
(iv)
divide by log(1.016) to get
(v)
so 1980 - 38 = 1942
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