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Ostrovityanka [42]
3 years ago
11

Find last years salary if, after a 4% pay raise, this years salary is $31,200

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0
The answer should be $29,952.... I hope this helps
You might be interested in
Orthogonally diagonalize the​ matrix, giving an orthogonal matrix P and a diagonal matrix D. To save​ time, the eigenvalues are
alexgriva [62]

Answer:

P=\left(\begin{array}{ccc}-\frac{2}{3}&-\frac{2}{3}&\frac{1}{3}\\\frac{1}{\sqrt{5}}&0&\frac{2}{\sqrt{5}}\\-\frac{4}{3\sqrt{5}}&\frac{\sqrt{5}}{3}&\frac{2}{3\sqrt{5}}\end{array}\right)

Step-by-step explanation:

It is a result that a matrix A is orthogonally diagonalizable if and only if A is a symmetric matrix.  According with the data you provided the matrix should be

A=\left(\begin{array}{ccc}-9&-4&2\\ -4&-9&2\\2&2&-6\\\end{array}\right)

We know that its eigenvalues are \lambda_{1}=-14, \lambda_{2}=-5, where \lambda_{2}=-5 has multiplicity two.

So if we calculate the corresponding eigenspaces for each eigenvalue we have

E_{\lambda_{1}=-14}=\langle(-2,-2,1)\rangle,E_{\lambda_{2}=-5}=\langle(1,0,2),(-1,1,0)\rangle..

With this in mind we can form the matrices P, D that diagonalizes the matrix A so.

P=\left(\begin{array}{ccc}-2&-2&1\\1&0&2\\-1&1&0\\\end{array}\right)

and

D=\left(\begin{array}{ccc}-14&0&0\\0&-5&0\\0&0&-5\\\end{array}\right)

Observe that the rows of P are the eigenvectors corresponding to the eigen values.

Now you only need to normalize each row of P dividing by its norm, as a row vector.

The matrix you have to obtain is the matrix shown below

3 0
3 years ago
I've been having struggles with math recently and would greatly appreciate help
BARSIC [14]

ANSWER:

-4x^3+4x^2-4x+2

STEP-BY-STEP EXPLANATION:

We have the following expression:

(4x^3+6x^2-9x+1)-(8x^3+2x^2-5x-1)

In order to operate, we must first break the parentheses and then group similar terms, like this:

\begin{gathered} 4x^3+6x^2-9x+1-8x^3-2x^2+5x+1 \\ (4x^3-8x^3)+(6x^2-2x^2)+(-9x+5x)+(1+1) \\ \text{ therefore:} \\ -4x^3+4x^2-4x+2 \\ (4x^3+6x^2-9x+1)-(8x^3+2x^2-5x-1)=-4x^3+4x^2-4x+2 \end{gathered}

6 0
1 year ago
Is 76 pounds of Christina's body weight comes from water about how much does Christina weigh
Ghella [55]
If 90% of bodies are water weight, then we have 10% left.

76+10% = 83.6.

83.6 total.
8 0
3 years ago
The Davis family drove a total of 587 miles, starting on Friday and ending on Sunday. They drove 182 miles on Friday and 260 mil
valina [46]

Answer:

145

Step-by-step explanation:

Because what you want to do is add 260 to 182 then subtract from 587. I hope that helped! :)

8 0
2 years ago
kayla and megan are growing plants for a science experiment.for the frist measurement kayla grows 5/7 of a inch. megans plant gr
Vsevolod [243]
It probly is about 4/5
8 0
3 years ago
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