SOLUTION: The population of a small village has grown at an annual rate of approximately 5.5%. How long will it take for its population of 3200 people to double at this growth rate?
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-> SOLUTION: The population of a small village has grown at an annual rate of approximately 5.5%. How long will it take for its population of 3200 people to double at this growth rate?
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Question 1090680: The population of a small village has grown at an annual rate of approximately 5.5%. How long will it take for its population of 3200 people to double at this growth rate?
a.about 1.5 years c.about 13 years
b.about 11 years d.about 16 years
You can put this solution on YOUR website! Let n be the population of the village. If it grows by 5.5% each year, then:
n=3200
2n=6400
6400=3200*(1.055)^n
1.055^n=2
ln 1.055^n=n ln 1.055=ln 2
n=ln 2/ln 1.055=12.95, or about 13 years
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