Question

50 points and brainleist

Answer 1

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

$y = 500 + 12 \% \text{ of } 500\\\\y = 500 + 12 \% \times 500\\\\y = 500(1 + 12 \%)\\\\y = 500(1 + \frac{12}{100})\\\\y = 500( 1 + 0.12)\\\\y = 500(1.12)$

Thus the equation is found. Option B is correct

Solve it

$y = 500 \times 1.12\\\\y = 560$

Thus the new value is 560