Respuesta :
y = 500(1.12) is the equation could be used to find the new value
The new value is 560
Solution:
Given that,
A value of 500 increases by 12%
To find: equation could be used to find the new value
Therefore,
Initial value = 500
Increase rate = 12 %
Let "y" be the new value
Thus the equation is:
new value = Initial value + 12 % of Initial value
[tex]y = 500 + 12 \% \text{ of } 500\\\\y = 500 + 12 \% \times 500\\\\y = 500(1 + 12 \%)\\\\y = 500(1 + \frac{12}{100})\\\\y = 500( 1 + 0.12)\\\\y = 500(1.12)[/tex]
Thus the equation is found. Option B is correct
Solve it
[tex]y = 500 \times 1.12\\\\y = 560[/tex]
Thus the new value is 560