Answer:
![\%Increase = 4\%](https://tex.z-dn.net/?f=%5C%25Increase%20%3D%204%5C%25)
Step-by-step explanation:
Given
![Initial\ Population = 625](https://tex.z-dn.net/?f=Initial%5C%20Population%20%3D%20625)
![Final\ Population = 650](https://tex.z-dn.net/?f=Final%5C%20Population%20%3D%20650)
Required
Determine the percentage population increase
This is calculated using the following formula:
![\%Increase = \frac{Final - Initial}{Initial} * 100\%](https://tex.z-dn.net/?f=%5C%25Increase%20%3D%20%5Cfrac%7BFinal%20-%20Initial%7D%7BInitial%7D%20%2A%20100%5C%25)
![\%Increase = \frac{650 - 625}{625} * 100\%](https://tex.z-dn.net/?f=%5C%25Increase%20%3D%20%5Cfrac%7B650%20-%20625%7D%7B625%7D%20%2A%20100%5C%25)
![\%Increase = \frac{25}{625} * 100\%](https://tex.z-dn.net/?f=%5C%25Increase%20%3D%20%5Cfrac%7B25%7D%7B625%7D%20%2A%20100%5C%25)
![\%Increase = \frac{25* 100\%}{625}](https://tex.z-dn.net/?f=%5C%25Increase%20%3D%20%5Cfrac%7B25%2A%20100%5C%25%7D%7B625%7D)
![\%Increase = \frac{2500\%}{625}](https://tex.z-dn.net/?f=%5C%25Increase%20%3D%20%5Cfrac%7B2500%5C%25%7D%7B625%7D)
![\%Increase = 4\%](https://tex.z-dn.net/?f=%5C%25Increase%20%3D%204%5C%25)
<em>Hence, there is a 4% increment from 2014 to 2015</em>
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's write down the equations which we will be solving as displayed below:
Equation No. 1 -
4m + n = 6
Equation No. 2 -
3m = 2n - 13 / 2
To begin with, we will make ( n ) the subject in the first equation as displayed below:
Equation No. 1 -
4m + n = 6
n = 6 - 4m
Next, we will substitute the value of ( n ) from the first equation into the second equation and also make ( m ) the subject. Then, we will solve the equation as displayed below:
Equation No. 2 -
3m = 2n - 13 / 2
3m = 2 ( 6 - 4m ) - 13 / 2
3m = 12 - 8m - 13 / 2
3m + 8m = 12 - 13 / 2
11m = 11 / 2
m = ( 11 / 2 ) ÷ 11
m = 1 / 2
Now we will substitute the value of ( m ) from the second equation into the first equation as displayed below:
Equation No. 1 -
n = 6 - 4m
n = 6 - 4 ( 1 / 2 )
n = 6 - 2
n = 4
ANSWER:
Therefore, our answer is:
m = 1 / 2
n = 4
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