Answer:
$300 was deducted from tax. The tax rate is 26.1%
Step-by-step explanation:
An employee earns a gross pay of $1,200.00 per week. The employee’s net pay is $850.00. The employee’s voluntary 401(k) contribution is $50.00 per month.
There was blank deducted for taxes. The tax rate is blank
Solution:
Contributions that are made for retirement such as 401(k) contribution plans are made on a pretax basis. This means that they are removed from your taxable income, thereby reducing the tax.
Gross pay = $1200
Taxable income = Gross pay - 401(k) contribution
Taxable income = $1200 - $50 = $1150
Net pay = $850
Tax = Taxable income - Net pay
Tax = $1150 - $850
Tax = $300
Tax rate = (Tax / taxable income) * 100%
Tax rate = ($300 / $1150) * 100% = 26.1%
So the steps to find the inverse are:
- Change f(x) to y
- Switch the positions of x and y
- Solve for y
- Change y to f^-1(x)
![f(x)=-2+ \frac{2}{3}x\\\\y=-2+ \frac{2}{3}x\\\\x=-2+ \frac{2}{3}y](https://tex.z-dn.net/?f=%20f%28x%29%3D-2%2B%20%5Cfrac%7B2%7D%7B3%7Dx%5C%5C%5C%5Cy%3D-2%2B%20%5Cfrac%7B2%7D%7B3%7Dx%5C%5C%5C%5Cx%3D-2%2B%20%5Cfrac%7B2%7D%7B3%7Dy%20)
Now let's solve for y as such:
![x=-2+ \frac{2}{3}y \\\\x+2=\frac{2}{3}y\\\\\frac{3}{2} (x+2)=y\\\\\frac{3}{2}x+3=y\\\\\frac{3}{2}x+3=f^{-1}(x)](https://tex.z-dn.net/?f=%20x%3D-2%2B%20%5Cfrac%7B2%7D%7B3%7Dy%20%5C%5C%5C%5Cx%2B2%3D%5Cfrac%7B2%7D%7B3%7Dy%5C%5C%5C%5C%5Cfrac%7B3%7D%7B2%7D%20%28x%2B2%29%3Dy%5C%5C%5C%5C%5Cfrac%7B3%7D%7B2%7Dx%2B3%3Dy%5C%5C%5C%5C%5Cfrac%7B3%7D%7B2%7Dx%2B3%3Df%5E%7B-1%7D%28x%29%20)
<u>Your inverse is f^-1(x) = 3/2x + 3</u>
Answer: 6
Step-by-step explanation:
Answer:
![x=28](https://tex.z-dn.net/?f=x%3D28)
Step-by-step explanation:
° ![That ~means: x + ( 2x + 5 ) + ( 3x + 7 ) = 180.~Since~ addition~ is~ associative,\\~x + ( 2x + 5 ) + ( 3x + 7 ) = 180~ is ~the~ same ~as~ x + 2x + 5 + 3x + 7 = 180.](https://tex.z-dn.net/?f=That%20~means%3A%20x%20%2B%20%28%202x%20%2B%205%20%29%20%2B%20%28%203x%20%2B%207%20%29%20%3D%20180.~Since~%20addition~%20is~%20associative%2C%5C%5C~x%20%2B%20%28%202x%20%2B%205%20%29%20%2B%20%28%203x%20%2B%207%20%29%20%3D%20180~%20is%20~the~%20same%20~as~%20x%20%2B%202x%20%2B%205%20%2B%203x%20%2B%207%20%3D%20180.)
![Combining~ like~ terms,~ we ~get: 6x + 12 = 180.](https://tex.z-dn.net/?f=Combining~%20like~%20terms%2C~%20we%20~get%3A%206x%20%2B%2012%20%3D%20180.)
![After~ we ~move~ 12~ to~ the~ other~ side~ so ~the~ x~ is~ iscolated,~ we~ get:\\\ 6x = 168.\\](https://tex.z-dn.net/?f=After~%20we%20~move~%2012~%20to~%20the~%20other~%20side~%20so%20~the~%20x~%20is~%20iscolated%2C~%20we~%20get%3A%5C%5C%5C%206x%20%3D%20168.%5C%5C)
![Dividing~ each~ side~ by~ 6 ~gets~ us ~to~: x = 28, ~so ~the~ answer~ to~ this~ question~ is D.\\](https://tex.z-dn.net/?f=Dividing~%20each~%20side~%20by~%206%20~gets~%20us%20~to~%3A%20x%20%3D%2028%2C%20~so%20~the~%20answer~%20to~%20this~%20question~%20is%20D.%5C%5C)
![Hope~this~helps!~Have~a~blessed~day~ahead!](https://tex.z-dn.net/?f=Hope~this~helps%21~Have~a~blessed~day~ahead%21)
![-Isabelle~Williams](https://tex.z-dn.net/?f=-Isabelle~Williams)
Answer:
You can buy 12 gallons of gas.
Step-by-step explanation:
I took 40 and 3.25, then divided them.
I got a very large ugly decimal. When simplified it is 12.