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beks73 [17]
3 years ago
10

Find the ordinary interest on $ 1,800 for two months at a rate of 12%

Mathematics
1 answer:
balandron [24]3 years ago
5 0
<span>Divide 12% by 12 months to get 1% per month. Multiply by 2 months to get 2%. Multiply 1800 by 0.02 </span>
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-x=-y+2 and 3y+4=2x solve using matrices
MissTica

\begin{cases}-x=-y+2\\3y+4=2x\end{cases}\implies\begin{cases}x-y=-2\\2x-3y=4\end{cases}

In matrix form, this is

\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-2\\4\end{bmatrix}

The coefficient matrix has determinant

\begin{vmatrix}1&-1\\2&-3\end{vmatrix}=-3+2=-1\neq0

so it has an inverse, which is

\begin{bmatrix}1&-1\\2&-3\end{bmatrix}^{-1}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}

Multiply both sides by the inverse matrix:

\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}-2\\4\end{bmatrix}

\implies\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-10\\-8\end{bmatrix}

so that x=-10 and y=-8.

8 0
3 years ago
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Nat2105 [25]

Answer:

y=x-1

Step-by-step explanation:

since the slope is just one up and one over and it's positive it would just be x

and since the intercept is just -1 it would be y=x-1

8 0
3 years ago
Help pls ! I’ll mark brainliest!
kogti [31]

Answer:

The first and third answers are correct

Step-by-step explanation:

First answer=11/4=2.75

Second answer=4/9=0.444...

Third answer=4/3=1.333...

Fourth answer=5/9=0.5555555556

2/3=0.66666666667

5 0
2 years ago
Read 2 more answers
Can someone help mee?
Vesna [10]

Answer:

i think 1000

Step-by-step explanation:

if 10 to the 5th power is 100000 and 10 to the 2nd power is 100 and you divide them the answer is 1000

3 0
3 years ago
Read 2 more answers
Solve x - 3 &lt; -1. Graph the solution.
LuckyWell [14K]

Answer: x < 2

Explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get <em>x</em> by itself on one side.

Since 3 is being subtracted from <em>x</em>, we add 3

to both sides of the inequality to get <em>x < 2</em>.

Before we graph, write your answer in set notation.

We can write this as {x: x < 2}.

It's important to understand what this means.

This means that any number less than 2 is a solution to this inequality.

I have graphed the inequality for you below.

Start with an open dot on +2.

We use an open dot because +2 is not included as a solution.

Then draw an arrow going to the left.

3 0
3 years ago
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