The population of Andhra Pradesh was 5.4 x 10' 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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Answer:
The population of a particular year is given by
⇒P
n
=P
0
(1+
100
r
)
n
where P
0
= Population in 1988
⇒P
n
= Population in n years after 1988
r= Population growth rate
n= Number of years after 1988
⇒P
n
=4.5×10
7
n=20
r=2.4%
⇒P
2008
=5.4×10
7
(1+
100
2.4
)
20
=5.4×10
7
×1.60694
=8.677×10
7
.
Hence, the answer is 8.677×10
7
.
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