Question

plz help me guys........

Answer Is 491700​

Answer 1

Given,

population increases 3% in every year

original population = 450000

To find,

the population after 3 years and the value is needed to be rounded off to the nearest 100.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Population after first year = 450000 + (450000 × 3/100) = 450000 + 13500 = 463500

Population after second year = 463500 + (463500 × 3/100) = 463500 + 13905 = 477405

Population after third year = 477405 + (477405 × 3/100) = 491727.15

Rounded off value = 491727.15 ≈ 491700

Hence, the final population is 491700

Answer 2

SOLUTION

GIVEN

• Population of a town increases at 3% every year

• Original population = 450000

TO DETERMINE

The population after 3 years

CONCEPT TO BE IMPLEMENTED

If present population = P and the population increases at uniform rate of r % every year.

Then the population after n years

$\displaystyle \sf{ =P { \bigg( 1 + \frac{r}{100} \bigg)}^{n} }$

EVALUATION

Here it is given that

So by the given condition

Present population = P = 450000

Increment per year = r % = 3 %

Number of years = n = 3

Hence the required population after 3 years

$\displaystyle \sf{ =P { \bigg( 1 + \frac{r}{100} \bigg)}^{n} }$

$\displaystyle \sf{ =450000 \times { \bigg( 1 + \frac{3}{100} \bigg)}^{3} }$

$\displaystyle \sf{ =450000 \times { \bigg( 1 + 0.03 \bigg)}^{3} }$

$\displaystyle \sf{ =450000 \times { \bigg( 1.03 \bigg)}^{3} }$

$\displaystyle \sf{ =450000 \times 1.092727 }$

$\displaystyle \sf{ =491727.15 }$

= 491700 ( Rounding off to nearest 100 )

FINAL ANSWER

The population after 3 years = 491700

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