Problema Solution
In 2000, the population of Stebna was 5,986. By 2007, it was estimated at 9,812. Predict the population of Stebna in 2012.
Use A=P(1+r/n)^(nt)
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A=P(1+r/n)^(nt)
In 2000, the population of Stebna was 5,986:
for t = 0, A = 5,986 that is
P(1+r/n)^(n*0) = 5986
P = 5986
By 2007, it was estimated at 9,812:
for t = 2007 - 2000 = 7 years
A(7) = 9812 that is
5986(1+r/n)^(n*7) = 9812
((1 + r/n)^n)^7 = 9812/5986
we need to find for t = 2012 - 2000 = 12 years what is A(12) = ?
A(12) = 5986(1 + r/n)^(n*12)
A(12) = 5986(((1 + r/n)^n)^7)^(12/7)
A(12) = 5986(9812/5986)^(12/7)
A(12) = 13,965.55
click here to see the step by step calculation:
in the year of 2012 there was 13,966 population.