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Question
The population of a city is 1, 25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of the city after 3 years.
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Solution
Vn =?; V0 = 1,25,000 ; r = 5.5 % (birth) and 3.5 % (death) ; t = 3 years
`"V"_"n" = "V"_0 (1 + "r"/100)^"t"`
`"V"_"n" = 125000 (1 + 5.5/100)^3 (1 - 3.5/100)^3`
Vn = 1,25,000 x 10.55 x 10.55 x 10.55 x 9.65 x 9.65 x 9.65
Vn = 1,25,000 x 1174.241 x 898.6321
Vn = 1,32,651
The population in 2007 is 1,32,651
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