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Find population after Y years if initial population of any place is X0 and annual rate of population growth is R%

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If initial population of any place is X0 and annual population growth is R%, then what is the population of that place after Y years?


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Solution,

Here, initial population (P) = X0

Population growth rate (R) = R% p.a 

Population after Y years (PT) = ?

By using population growth formula,

PT = \(P\left(1+\frac R{100}\right)^T\)
     = \(X_0\left(1+\frac R{100}\right)^Y\)

∴ Population of that place after Y years is \(X_0\left(1+\frac R{100}\right)^Y\)

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