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 \(X_0\left(1+\frac R{100}\right)^Y\)