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3 years ago

Pete works as a door to door vacuum salesman and earns a base salary of $400 per week plus 8% commission on

Mathematics

1 answer:

ololo11 [35]3 years ago

5 0

Answer:

$516.48

Step-by-step explanation:

Base salary is what Pete will be paid whether he makes a sale or not.

Sales commission is the percentage of the value of the sale that Pete makes which is added to his base salary.

Base salary = $400

Total sales last week = $1456

Commission = 8% of total sales

Commission of last week = 8% of $1456

= 0.08*1456 = $116.48

Gross salary = base salary + commission

= 400 + 116.48

= $516.48

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Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear

Nikolay [14]

The graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

$\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)$

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.

Learn more about the slope here:

brainly.com/question/3605446

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6 0

2 years ago

Make a table with the domain of {2,3,4,5,6} and draw a graph of the absolute value function y = 2|x-4| + 3.

Jet001 [13]

Answer:

<h2>In the attachment.</h2>

Step-by-step explanation:

$|a|=\left\{\begin{array}{ccc}a&for\ a\geq0\\-a&for\ a$

Put each value of x from the set {2, 3, 4, 5, 6}

to the equation y = 2|x - 4| + 3:

x = 2 → y = 2|2 - 4| + 3 = 2|-2| + 3 = 2(2) + 3 = 4 + 3 = 7 → (2, 7)

x = 3 → y = 2|3 - 4| + 3 = 2|-1| + 3 = 2(1) + 3 = 2 + 3 = 5 → (3, 5)

x = 4 → y = 2|4 - 4| + 3 = 2|0| + 3 = 2(0) + 3 = 0 + 3 = 3 → (4, 3)

x = 5 → y = 2|5 - 4| + 3 = 2|1| + 3 = 2(1) + 3 = 2 + 3 = 5 → (5, 5)

x = 6 → y = 2|6 - 4| + 3 = 2|2| + 3 = 2(2) + 3 = 4 + 3 = 7 → (6, 7)

Mark the points in the coordinates system.

The domain is only five numbers, therefore the graph of this function is only five points.

5 0

3 years ago

Read 2 more answers

My question is in the picture, someone please answer it!

joja [24]

Answer:

i dont understand. also you shouldnt put big points because people wil look at that then get ur points

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

On paper, make a rectangle that has points A and B as two of its vertices and has a perimeter of 40 units. Draw and label the tw

Westkost [7]

Answer:

$A(x,y),B(x+10,y),C(x+10,y-10) \:and\: D(x,y-10)$

Step-by-step explanation:

If a Rectangle has a perimeter of 40 units, then we can write that formula and find the a formula for the coordinates:

$\left\{\begin{matrix}w+l=20 & \\ w*l=100 & \end{matrix}\right.\Rightarrow w=20-l\Rightarrow (20-l)l=100\Rightarrow -l^2+20l-100=0\Rightarrow l^2-20l+100\Rightarrow (l-10)(l-10)\Rightarrow l=10\therefore l=10\: and\: w=10$

Therefore we can say:

$A(x,y),B(x+10,y),C(x+10,y-10) \:and\: D(x,y-10)$

Technically when $w=l$ in this rectangle is a square, a degenerate square.

8 0

3 years ago

The slope of the line below is -5 which of the following is the point-slope form of the line (2,-8)

insens350 [35]

The point slope form has the following syntax.

$y - y_1 = m(x - x_1)$
m = slope = -5
$y - y_1 = -5(x - x_1)$
(x,y) = (2,-8)
$x_1 = 2$
$y_1 = -8$
$y - y_1 = -5(x - x_1)$
$y - (-8) = -5(x - 2)$
$y + 8 = -5(x - 2)$ <------Answer

3 0

3 years ago