Question

the population of city was 20,000 in the year 1997.if increase at the rate of 5%p.a find the population at the end of 2000

Answer 1

The answer of above question is given below.

Answer 2

Answer:

$\red { Population \:at \: the \: of \: 2000}$

$\green{=23152.5}$

Step-by-step explanation:

$Given \: the \: population \: of \: city \\at \:the\:end \:of \:1997(P) = 20000$

$Rate \:of \: increase (r) = 5\% \:p.a$

$Time (T) = 3 \:years$

$Number \: of \: times \: population \\ calculated (n)= 3$

$\red { Population \:at \: the \: of \: 2000(A)}$

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

$= 20000 \left( 1 + \frac{5}{100}\right)^{3}$

$= 20000 \left( 1+\frac{1}{20}\right)^{3}$

$= 20000\left(\frac{21}{20}\right)^{3}$

$= 20000 \times \frac{21}{20}\times \frac{21}{20}\times \frac{21}{20}$

$= \frac{46305}{2}$

$= 23152.5$

Therefore.,

$\red { Population \:at \: the \: of \: 2000}$

$\green{=23152.5}$

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