SOLUTION: The population of the United States tends to grow at a rate proportional to the size of the population. Thus we may represent the population size by the exponential model A(t) = 18

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Question 92048: The population of the United States tends to grow at a rate proportional to the size of the population. Thus we may represent the population size by the exponential model A(t) = 180e^0.013t, where t is the number of years since 1960 and A(t) is the population in millions. In what year will the population of the United States exceed one billion?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
1,000 million is one billion
1,000 < 180e^(0.013t)
50/9 < e^(0.013t)
log(e,50/9) < 0.013t
log(e,50/9)/0.013 < t
About:
132 < t
Year of 2,092