Natalie is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Natalie's total payments on a day on which she sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Natalie would have to sell in order to get paid $365 on a given day.

Answer:

x = 0

Step-by-step explanation:

In order to solve for x, first combine both fractions on the left

To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4

It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:

8x+24/32

Multiply 4x-2/8 by 4, you will get:

16x-8/32

Now you can add 16x-8/32 + 8x+24/32, you would get:

24x+16/32

Now you can start to solve for x

Your new equation is 24x+16/32 = 1/2

To solve for x, first multiply diagonally, then solve like a regular equation.

Multiply 24x+16 by 2 to get 48x+32

Then multiply 32 by 1 to get 32

Your new equation is 48x+32=32

Now subtract 32 by 32 to get 48x=0

Now divide 48 by 0 to get x=0

Answer:

-3/2

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

Answer:

Close to 6 miles. Exact is between 5.7 and 6

Step-by-step explanation:

Answer:

no  

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

add them all to 20

add 7 and 5 to get 12

12 over 20 is 60 percent

I think it's (3,4) but I am not confident so please be understanding

Answer:

(3, 1 )

Step-by-step explanation:

The centre of the circle is at the midpoint of the diameter.

Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then

midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )

Thus centre of circle = (3, 1 )

Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

Learn more about quadrant and cast rule here:

https://brainly.com/question/11099638

#SPJ2

Answer:

32%

Step-by-step explanation:

Answer:

16 17

Step-by-step explanation:

Answer:

3 different ways

Step-by-step explanation:

Answer:

3 different ways

Step-by-step explanation:

hope this helps

example of the diffrent way to write a ratio :

5 to 10

5 : 10

[tex]\frac{5}{10}[/tex]

Answer:

9.33%

Step-by-step explanation:

Step one:

given

Principal= $10,000

Final amount = $150,000

time = 50-21= 29 years

Required

The rate

Step two:

to solve for the rate we can apply the formula for rate as

r = ln(A/P) /t

r= ln(150000/10000)/29

r= ln(15)/29

r=2.7080502011/29

r=0.0933

r= 0.0933*100

r= 9.33%

Answer:

y = 1/4x + 0 or just y = 1/4x

Step-by-step explanation:

First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.

Answer:

good job its very good

Step-by-step explanation:

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)

Answer:

y = 5x + 100

Step-by-step explanation:

Using the x and corresponding y values from the given table.

Let's use the coordinate (0, 100) and (1, 105)

The equation in slope intercept form is expressed as y = mx+c

m is the slope

c is the y-intercept

Slope m = y2-y1/x2-x1

m = 105-100/1-0

m = 5/1

m =5

Get the y intercept

Substitute the slope m = 5 and any point say (0, 100) into the equation

y = mx+c

100 = 5(0) + c

100 = c

c = 100

Get the required equation;

y = mx+c

y = 5x + 100

Hence the equation in slope-intercept form that represents the data is expressed as y = 5x + 100

Answer:

D

Step-by-step explanation:

points (-4,4) and (0,5)

slope: (y2-y1)/(x2-x1)

(5-4)/(0+4) = 1/4

y intercept given: (0,5)

Answer:

B

Step-by-step explanation:

The answer is B because it tells you the letter atound triangle.

Answer:

b

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

15 is the mid so +5 is 20 thus 20 is the anser