$750000 for all 10 years and $375000 for just ten years
The MN matrix is
.
What is matrix?
A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that is used to represent a mathematical object or an attribute of one. is a matrix having two rows and three columns, for instance.
Given ![M=\left[\begin{array}{cc} 1 & 0 \\ -4 & 3 \\ 2 & 5 \end{array}\right]](https://tex.z-dn.net/?f=M%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%201%20%26%200%20%5C%5C%20-4%20%26%203%20%5C%5C%202%20%26%205%20%5Cend%7Barray%7D%5Cright%5D)
![N=\left[\begin{array}{ccc}-2 & 1 & 0 \\3 & 2 & -1\end{array}\right]](https://tex.z-dn.net/?f=N%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%20%26%201%20%26%200%20%5C%5C3%20%26%202%20%26%20-1%5Cend%7Barray%7D%5Cright%5D)
M is a matrix with 3 * 2 dimension and N is a matrix with 2 * 3 dimension.
So finding MN is possible and the dimension will be 3 * 3.
Now,
![MN=\left[\begin{array}{cc}1 & 0 \\-4 & 3 \\2 & 5\end{array}\right] \times \left[\begin{array}{ccc}-2 & 1 & 0 \\3 & 2 & -1\end{array}\right]\\= \left[\begin{array}{ccc}1 \times (-2)+0 \times 3 & 1 \times 1+0 \times 2 & 1 \times 0+0 \times (-1) \\(-2) \times (-4)+3 \times 3 & (-4) \times 1+3 \times 2 & (-4) \times 0+3 \times (-1) \\2 \times (-2)+5 \times 3 & 2 \times 1+5 \times 2 & 2 \times 0+5 \times (-1) \\\end{array}\right]\\](https://tex.z-dn.net/?f=MN%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%20%26%200%20%5C%5C-4%20%26%203%20%5C%5C2%20%26%205%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%20%26%201%20%26%200%20%5C%5C3%20%26%202%20%26%20-1%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%20%5Ctimes%20%28-2%29%2B0%20%5Ctimes%203%20%26%201%20%5Ctimes%201%2B0%20%5Ctimes%202%20%26%201%20%5Ctimes%200%2B0%20%5Ctimes%20%28-1%29%20%5C%5C%28-2%29%20%5Ctimes%20%28-4%29%2B3%20%5Ctimes%203%20%26%20%28-4%29%20%5Ctimes%201%2B3%20%5Ctimes%202%20%26%20%28-4%29%20%5Ctimes%200%2B3%20%5Ctimes%20%28-1%29%20%5C%5C2%20%5Ctimes%20%28-2%29%2B5%20%5Ctimes%203%20%26%202%20%5Ctimes%201%2B5%20%5Ctimes%202%20%26%202%20%5Ctimes%200%2B5%20%5Ctimes%20%28-1%29%20%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C)
![=\left[\begin{array}{ccc}-2 & 1 & 0 \\17 & 2 & -3\\11 & 12 & -5\end{array}\right]\\](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%20%26%201%20%26%200%20%5C%5C17%20%26%202%20%26%20-3%5C%5C11%20%26%2012%20%26%20-5%5Cend%7Barray%7D%5Cright%5D%5C%5C)
Therefore the MN matrix is
.
To learn more about matrix from the given link
brainly.com/question/94574
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Answer: 6.1% decrease
Note: It appears that your teacher doesn't want you to type in the percent sign, as that's already covered for you.
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Explanation:
The salary decreased by 51500-48355 = 3145
Divide this over the initial salary to get 3145/51500 = 0.0611 which is approximate.
This converts to the percentage 6.11% and that rounds to 6.1%
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As an alternative, you can use the formula method below
A = old value = 51500
B = new value = 48355
C = percent change when going from A to B
C = [ (B-A)/A ] * 100%
C = [ (48355-51500)/51500 ] * 100%
C = (-3145/51500)*100%
C = -0.0611*100%
C = -6.11%
C = -6.1%
The negative C value indicates a percent decrease.
Answer:
16
Step-by-step explanation:
i would try but not 100% sure