one-half average method means there is bonus which is equivalent to over time * half of average hourly rate.
Let us calculate earnings using normal method first.
We are given that 14$ paid for first 40 hours and $11.8 for next 7 hours.
So, net pay would be 14*40+11.8*7 = $642.6
Now we need to find bonus pay using one-half rate method.
That bonus = over time * half of the average hourly rate
Average hourly rate = income earned/total number of hours
=
Hence bonus = 7*
= $47.85
Gross pay using one-half average method= net pay + bonus
=642.6+47.85
= 690.45$
First, let me show you some notation.
To show a matrix is an inverse of another matrix, we write

-1 is not an exponent. It just shows that a matrix is an inverse of another matrix.
For a 2x2 matrix, we can get the inverse by first making b and c negatives and swap the positions of a and d.
Then multiply each entry in the matrix by 1 divided by the determinant.
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]^{-1} = \frac{1}{ad - bc}\left[\begin{array}{ccc}d&{-b}\\{-c}&a\end{array}\right] = \\ \\ \\ \left[\begin{array}{ccc}d(\frac{1}{ad-bc})&{-b}(\frac{1}{ad-bc}) \\ {-c}(\frac{1}{ad-bc}) &a(\frac{1}{ad-bc}) \end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%5E%7B-1%7D%20%3D%20%0A%20%20%5Cfrac%7B1%7D%7Bad%20-%20bc%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dd%26%7B-b%7D%5C%5C%7B-c%7D%26a%5Cend%7Barray%7D%5Cright%5D%20%3D%20%20%5C%5C%20%20%5C%5C%20%5C%5C%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dd%28%5Cfrac%7B1%7D%7Bad-bc%7D%29%26%7B-b%7D%28%5Cfrac%7B1%7D%7Bad-bc%7D%29%20%5C%5C%20%7B-c%7D%28%5Cfrac%7B1%7D%7Bad-bc%7D%29%20%26a%28%5Cfrac%7B1%7D%7Bad-bc%7D%29%20%5Cend%7Barray%7D%5Cright%5D)
I hope this helped!
Answer:
60%
Step-by-step explanation:
There is 56 total ounces of green paint.
42oz is = 3/4
14oz is = 1/4
If she doubles the amount of yellow paint it would be 28oz instead of 14.
42+28= 70
There is now 70oz of paint total which becomes the new denominator.
The numerator is 42oz because that is how much blue paint there is.
42/70=.6 or 60%
Hope this helps!
Answer:
2y =8
Step-by-step explanation:

First let's find the value of y
Collect like terms and simplify ;

Divide both sides of the equation by 8

Simplify

Substitute 4 for y into 2y

Answer:
$200
Step-by-step explanation:
You divide to find the answer
50 divided by 0.25
and you will get 200.
So $50 is 25% of 200
For a double check do 50/200
50/200 = 25/100
25/100 = 1/4
1/4 = 0.25
0.25 = 25%
So the final answer is 200.
Hope it helped! My answer is expert verified.