The deductions account for 18.724% of Zachary's paycheck.
Step-by-step explanation:
Step 1; Zachary is supposed to get a paycheck for $20,160.00 but instead, he receives a lesser amount of money due to deductions. The money he receives after deductions is $16,385.31.
Money deducted = Original paycheck amount - deductions = $20,160.00 - $16,385.31 = $3,774.69.
So Zachary gets a deduction of $3,774.69
Step 2; To calculate the percent of deductions in terms of his pay we divide the deduction cost with the original paycheck amount and multiply it by a 100 to convert it into a percentage.
Deduction % = ($3,774.69 / $20,160.00) × 100 = 0.1872366 × 100 = 18.72366%
Rounding this off, we get the deduction % as 18.724%.
Answer:
This shows 3 pivot position matrixes.
Step-by-step explanation:
The given matrix is:
![\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-3&3&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-2%26-5%5C%5C0%264%263%5C%5C-3%263%260%5Cend%7Barray%7D%5Cright%5D)
The option D is correct for this matrix.
The matrix is invertible and the given matrix has 3 pivot positions.
The matrix is invertible if its determinant is nonzero.
Multiply the 3rd row by 1/3.we get:
![\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-1&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-2%26-5%5C%5C0%264%263%5C%5C-1%261%260%5Cend%7Barray%7D%5Cright%5D)
Now, add the first row with third row:
![\left[\begin{array}{ccc}0&-1&-5\\0&4&3\\-1&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%26-5%5C%5C0%264%263%5C%5C-1%261%260%5Cend%7Barray%7D%5Cright%5D)
Replace third row by first row:
![\left[\begin{array}{ccc}-1&1&0\\0&4&3\\0&-1&-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%261%260%5C%5C0%264%263%5C%5C0%26-1%26-5%5Cend%7Barray%7D%5Cright%5D)
This shows 3 pivot position matrixes.
Hence, a matrix is invertible and has 3 pivot positions.
Answer:
1/15
Step-by-step explanation:
Original length 3 in; New Length= 45
Original width 5 ;new width= 75
So 3/45
=5/75
=1/15
Hope it helps!
-2 is the answer when i figured out the problem
Answer:
No
Step-by-step explanation:
(-8,-3) does not land on the line 2x-8=1
