The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.
Answers
Step-by-step explanation:
There is 5% increase in population every year, so every new year has new population.
Thus, we can say it is increasing in compounded form.
Population in the beginning of 1998 = 2000 (we treat this as the principal for the 1st year)
Increase at 5% =
5
100
× 20000 = 1000
Population in 1999 = 20000 + 1000 = 21000
Increase at 5% =
5
100
× 21000 = 1050
Population in 2000 = 21000 + 1050 = 22050
Increase at 5% =
5
100
× 22050 = 1102.5
At the end of 2000 the population = 22050 + 1102.5 = 23152.5
or
Population at the end of 2000 = 2000 ×
[
1
+
5
100
]
3
= 20000 ×
21
20
×
21
20
×
21
20
= 23152.5
So,the estimated population = 23153
Answer:
We have,
p=20,000
R=5%
T=3 year,
A=20,000(1+
100
5
)
3
=20,000×(
100
105
)
3
=23,52.5
Hence this is the answer.
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