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Mademuasel [1]
3 years ago
7

Carlos had $2,400 worth of sales in June. His rate of commission is 12%. How much commission did he make in June?

Mathematics
1 answer:
Fynjy0 [20]3 years ago
5 0
Multiply the amount of sales, by the percentage of commission.

12% = 0.12

2,400 x 0.12 = 288

He made $288 in commission


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Consider the following sets of matrices: M2(R) is the set of all 2 x 2 real matrices; GL2(R) is the subset of M2(R) with non-zer
defon

Answer:

Step-by-step explanation:

REcall the following definition of induced operation.

Let * be a binary operation over a set S and H a subset of S. If for every a,b elements in H it happens that a*b is also in H, then the binary operation that is obtained by restricting * to H is called the induced operation.

So, according to this definition, we must show that given two matrices of the specific subset, the product is also in the subset.

For this problem, recall this property of the determinant. Given A,B matrices in Mn(R) then det(AB) = det(A)*det(B).

Case SL2(R):

Let A,B matrices in SL2(R). Then, det(A) and det(B) is different from zero. So

\text{det(AB)} = \text{det}(A)\text{det}(B)\neq 0.

So AB is also in SL2(R).

Case GL2(R):

Let A,B matrices in GL2(R). Then, det(A)= det(B)=1 is different from zero. So

\text{det(AB)} = \text{det}(A)\text{det}(B)=1\cdot 1 = 1.

So AB is also in GL2(R).

With these, we have proved that the matrix multiplication over SL2(R) and GL2(R) is an induced operation from the matrix multiplication over M2(R).

7 0
3 years ago
Y-1=5/6(x-4) in standard form
scoray [572]
           y - 1 = ⁵/₆(x - 4)
           y - 1 = ⁵/₆(x) - ⁵/₆(4)
           y - 1 = ⁵/₆x - 3¹/₃
             + 1         + 1
                 y = ⁵/₆x - 2¹/₃
        ⁻⁵/₆x + y = ⁵/₆x - ⁵/₆x - 2¹/₃
   -6(⁻⁵/₆x + y) = -6(-2¹/₃)
-6(⁻⁵/₆x) - 6(y) = 14
         5x - 6y = 14
8 0
3 years ago
Read 2 more answers
a roller coaster can take 24 riders in a single trip. 72 people went through the line to ride the roller coaster. how many trips
bulgar [2K]

Answer:

3 trips

Step-by-step explanation:

We would divide the amount of riders the roller coaster could take in a single trip by the total number of riders to determine how many trips it can make.

max amount of riders/total riders

72/24 = 3

Hence, the rollercoaster made 3 trips.

5 0
3 years ago
Please help with question 10
Ray Of Light [21]

Answer:

equation of the line is y=x+1

Step-by-step explanation:

the equation of a line has the form y = mx + b

while m is for the slope and b is for the y-intercept.

you can see from the graph that the line intercepts the y-axis at y=1 this is the b.

you can get the slope of the graph by taking two points from the graph lets say (1, 2) and (3, 4) then using this formula:

<h2>m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }</h2>

in our case it will be:

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then just substitute the values for m and b.

4 0
2 years ago
What is the justification for each step in solving the inequality?
alekssr [168]
HELLO  ANNA!!

Given inequality
=> −2(x+1)≥3x+8
=>
- 2x - 2 \geqslant 3x + 8 \\ \\ add \: 2 \: in \: both \: sides \\ \\ - 2x \geqslant 3x + 10 \\ \\ subtract \: with \: - 3x \: in \: both \: sides \: \\ \\ - 5x \geqslant 10 \\

now multiply with - on both sides.

As we know now sign will change
=> 5x >_ -10

Now divide by 5 on both sides
=> x >_ -2
HOPE IT HELPED YOU.
4 0
3 years ago
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