SOLUTION: My basic thought is this;
x - x(y) = z
Where x represents my gross pay, y represents an unknown percentage and z represents my net pay.
For example: I make $15.00 per hour
Algebra.Com
Question 458879: My basic thought is this;
x - x(y) = z
Where x represents my gross pay, y represents an unknown percentage and z represents my net pay.
For example: I make $15.00 per hour and work 40 hours per week, so my gross pay is $600.00. However, my net pay is $531.00. How do I find what percentage comes out of my gross pay to give me my net pay? (Hint: y = 11.5%)
In the past I have found it by trial and error. What I'm looking for is the formula that determines this. Can you help me?
Thank you,
David Iannarelli
thegiantslayer@gmail.com
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
all you have to do is solve for y:
x - x(y) = z
x(1-y) = z
(1-y) = z/x
-y = z/x - 1
y = 1 - z/x
.
that is, percent reduction
1 - "net pay"/"gross pay"
.
1 - 531/600
1 - .885
.115
.
Multiply the above to give the "percentage":
.115 * 100 = 11.5%
RELATED QUESTIONS
Please note that ------------------ represents division
The unknown variables x,y,z... (answered by Edwin McCravy)
1. An employer pays 3 workers x, y and z a total amount of $6100.x is paid 125% of the... (answered by josgarithmetic,MathTherapy)
Write an equation or formula that represents the general relationship indicated. Then... (answered by Cromlix)
Suppose y = mx + b is a math model for actual time as a function of estimated time, where (answered by Alan3354)
how do i figure out what this says...with the algebra equation below???... (answered by Shana-D77)
Find a mathematical model that represents the statement. (Determine the constant of... (answered by josgarithmetic)
What is the equation x = y + z solved for z?
My answer: x/y =... (answered by ikleyn)
Which of the following expressions represents the correct expansion of the y determinant... (answered by TimothyLamb)
Which of the following expressions represents the correct expansion of the y determinant... (answered by ikleyn)