Question

please ans me it's urgent​

Answer 1

$\bf{\large{\underline{\underline{\rm{Answer:}}}}}$

The population of village after 3 years will be 68.921.

$\bf{\large{\underline{\underline{\rm{Explaination:}}}}}$

$\bf{\large{\underline{\sf{Given:}}}}$

• Population of a village is 64,000.

Population increases at the rate of 2.5% every year.

Time period = 3 years

$\bf{\large{\underline{\sf{To\:find:}}}}$

The population of the village after 3 years.

$\bf{\large{\underline{\sf{Solution:}}}}$

Let the initial population of the village be P = 64000

Let the rate at which the population increases evry year be r = 2.5%

Let the time period be t = 3 years

$\bf{\underline{\boxed{\large{\rm{Formula\:to\:be\:used:}}}}}$

$\rightarrow$$\bf\large\rm{P}$ $\bf\large({1+\frac{r}{100})^t}$

Block in the values,

$\rightarrow$ $\bf{64000}$ $\bf({1\:+\frac{2.5}{100})^3}$

$\rightarrow$$\bf{64000}$ $\bf({\frac{100\:+\:2.5}{100})^3}$

$\rightarrow$ $\bf{64000}$ $\bf\large({\frac{102.5}{100})^3}$

$\rightarrow$$\bf{64000}$ $\bf\large{\times1.025}$

$\rightarrow$$\bf{64000\times\:1.025\times\:1.025\times\:1.025}$

$\rightarrow$$\bf{64000\times\:1.050625\:\times1.025}$

$\rightarrow$$\bf{64000\times\:1.076890625}$

$\rightarrow$$\bf\large\rm{68,921}$

Answer 2

$\huge \pink {aNswer}$

The population of village after 3 years will be 68.921.

Given:

• Population of a village is 64,000.

Population increases at the rate of 2.5% every year.

Time period = 3 years

To find:

The population of the village after 3 years.

Solution:

Let the initial population of the village be P = 64000

Let the rate at which the population increases evry year be r = 2.5%

Let the time period be t = 3 years

Formula to be used:

(1+r100)t\bf\large({1+\frac{r}{100})^t}(1+

100

r

)

t

Block in the values,

64000\bf{64000}64000 (1+2.5100)3\bf({1\:+\frac{2.5}{100})^3}(1+

100

2.5

)

3

64000\bf{64000}64000 (100+2.5100)3\bf({\frac{100\:+\:2.5}{100})^3}(

100

100+2.5

)

3

64000\bf{64000}64000 (102.5100)3\bf\large({\frac{102.5}{100})^3}(

100

102.5

)

3

64000\bf{64000}64000 ×1.025\bf\large{\times1.025}×1.025

64000×1.025×1.025×1.025\bf{64000\times\:1.025\times\:1.025\times\:1.025}64000×1.025×1.025×1.025

64000×1.050625×1.025\bf{64000\times\:1.050625\:\times1.025}64000×1.050625×1.025

64000×1.076890625\bf{64000\times\:1.076890625}64000×1.076890625

68,921\bf\large\rm{68,921}68,921