The population of Andhra Pradesh was 5.4 X 10^7 in 1988. If the population was growing at a constant rate of 2.4 % per annum .What was the population in 2008 A.D.[Given that (1.024)^20=1.60694].

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Solution:

⇨Given
⇨p=5.4 X 10^7
⇨r=2.4%
⇨n=2008 - 1988 =20 years
⇨The population in 2008 will be

$\large A=p\left ( 1+\frac{r}{100} \right )^{n}$

$\large \Rightarrow A=5.4\times 10^{7}\left ( 1+\frac{2.4}{100} \right )^{20}$

$\large \Rightarrow A=5.4\times 10^{7}\left (\frac{100+2.4}{100} \right )^{20}$

$\large \Rightarrow A=5.4\times 10^{7}\left (\frac{102.4}{100} \right )^{20}$

$\large \Rightarrow A=5.4\times 10^{7}\left (1.024 \right )^{20}$

$\large \Rightarrow A=5.4\times 10^{7}\times 1.60693$

$\large \Rightarrow A=5.4\times 10^{7}\times 1.607$

$\large \Rightarrow A=8.6778\times 10^{7}$ (approx)

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