8. A car dealer buys a luxury car for $45,800, and sells it for $61,830. Find the percent of change.
A. 35%
B. 26%
C. -35%
D. -40%

Answer:

See Explanation

Step-by-step explanation:

This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.

Solving (a): The equation

Pick any [tex]two[/tex]  [tex]points[/tex]on the [tex]trend[/tex] line

[tex](x_1,y_1) = (30,40)[/tex]

[tex](x_2,y_2) = (80,70)[/tex]

[tex]y = 0.6x + 22[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{70 - 40}{80-30}[/tex]

[tex]m = \frac{30}{50}[/tex]

[tex]m = 0.6[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 0.6(x - 30) + 40[/tex]

[tex]y = 0.6x - 18 + 40[/tex]

[tex]y = 0.6x + 22[/tex]

Solving (b): y, when [tex]x = 21[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]x = 21[/tex]

[tex]y = 0.6 * 21 + 22[/tex]

[tex]y = 12.6 + 22[/tex]

[tex]y = 34.6[/tex]

Solving (c): x when [tex]y=150[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]y=150[/tex]

[tex]150 = 0.6x + 22[/tex]

Collect like terms

[tex]0.6x = 150 -22[/tex]

[tex]0.6x = 128[/tex]

Solve for x

[tex]x = \frac{128}{0.6}[/tex]

[tex]x = 213.3[/tex]

Answer:

x=7 is the line parallel to the given line x=8 . Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined.

Step-by-step explanation:

Answer: Choice C)  379.94 square meters

=========================================================

Work Shown:

Diameter = 22 meters

Radius = 11 meters (half the diameter)

We'll plug r = 11 into the formula below

A = pi*r^2

A = 3.14*11^2

A = 379.94

This value is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to get a more accurate area value.

Answer:

755.3

Step-by-step explanation:

The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.

The rectangle's volume is length*width*height. The length is 6, the width is 14, and the height is 6. Therefore, the volume is 6*6*14, which is 504 in.

Now all you have to do is add the two volumes together. 80pi is around 251.3, so 251.3 + 504 = 755.3.

Answer:

I think the answer is B: 755.3^3.

Step-by-step explanation:

Don't hate me if I'm wrong please!!!

To find the volume of multiple figures, just find the volume of each of them and add them together.

Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504

Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2

504 + 251.2 = 755.2

Since this is the closest answer, the answer is B: 755.3^3.

Please mark me as brainliest!!!!!

Answer:

See solution below

Step-by-step explanation:

The centre of the circle will be the midpoint of both coordinate

Given the coordinates P(-7, -10) and Q = (3,2)

X = x1+x2/2

X = -7+3/2

X = -4/2

X = -2

Y = y1+y2/2

Y = -10+2/2

Y = -8/2

Y = -4

Hence the centre is at (-2, -4)

The distance between the coordinates will be the diamter

PQ =√(3+7)² + (2+10)²

PQ =√(10)² + (12)²

PQ = √100+144

PQ =√244

radius = √244/2

Get the equation

(x-a)² + (y-b)² = r²

(x -(-2))² + (y-(-4))² = (√244/2)²

(x +2)² + (y+4)² = (244/4)

(x +2)² + (y+4)² = 61

This gives the required equation

Answer:

(-8,0)

Step-by-step explanation:

X=-8+y equation 1

-3x-3y=24 equation 2

-3(-8+y)-3y=24 sub x value in equation into x value of equation 2

24-3y-3y=24

-6y=0

y=0

solve for x

x=-8+y

x=-8+0

x=-8

check answer:

-3x-3y=24

-3(-8)-3(-0)=24

24-0=24

24=24

Answer:

Step-by-step explanation:

Let angle ABZ be angle 1 and angle ZBC be angle 2.

Angle 1 = 85 degree

Angle 2 = 6x + 9

measure of angle ABC = 24x+4

Angle 2 = ABC - 85

6x + 9 = 24x + 4 - 85

6x - 24x = 4 - 85 - 9

-18x = -90

x = -90/-18 = 90/18 =

x = 5

Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree

Therefore the measure of angle ZBC = 39 degree

Hope you understand

Please mark as brainliest

Thank You

Answer:

 65 in

Step-by-step explanation:

Answer: you didn't provide anything for us to answer

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

No.of words in

- 8 minutes = 72

- 1 minute = 72/8

                = 9

Answer:

9 words per every minute

Step-by-step explanation:

Theres 72 words in 8 minutes, so to get her words to minute, ratio you do 72 divided by 8 to get 9, words per minute.

Step-by-step explanation:

[tex] \sf ➜ {h}^{2} = {p}^{2} + {b}^{2} \\ \sf ➜ {(8.1)}^{2} = {(6.8)}^{2} + {x}^{2} \\ \sf ➜ {x}^{2} = {(8.1)}^{2} - {(6.8)}^{2} \\ \sf ➜ {x} = \sqrt{ {(8.1)}^{2} - {(6.8)}^{2} } \\ \sf ➜ x = \sqrt{65.6 - 46.2} \\ \sf ➜x = 19.4[/tex]

Answer:

The ball reaches 44 ft above the ground after 4 sec.

Step-by-step explanation:

Set h(t)=-16t^2+300 equal to 44 feet and solve for time, t.  Indicate exponentiation with " ^ "

-16t^2 + 300 = 44 becomes

-16t^2 + 256 = 0, or 16t^2 = 256.  Then, taking the square root of both sides, we get:

4t = 16, or t = 4 sec.  The ball reaches 44 ft above the ground after 4 sec.

The ball will take 4 seconds.

A quadratic equation, or simply "quadratics," is a polynomial equation with a degree of two as its highest. This is how it is expressed:

a x² + b x + c = 0 where x is the unknown variable and the constant terms are a, b, and c.

Given equation of height h(t) = -16t² + 300...…..(1)

where h is height in feet and t is time in seconds,

and height at t = 0 is 300 feet

when ball is 44 feet above ground then time is,

put h = 44 in equation 1

44 = -16t² + 300

16t² = 300 - 44

t² = 256/16

t = √16

t = 4

Hence time taken by ball is 4 seconds.

Learn more about quadratic equations;

https://brainly.com/question/17177510

#SPJ2

Answer:

a=1

Step-by-step explanation:

because 3/4 hour is 45 minute and it takes 4/4 distance to their grandparents hous ein 4/4 hour so 45÷3=15, 15×4=60 which is 1hour

The Answer is A: 1 hour

Step-by-step explanation:

since they can drive 3/4 the distance in 3/4 hours, they can also drive 1/2 the distance in 1/2 hours and so on. If they want to visit the grandparent's house, they need to drive 4/4 the distance which is equivalent to 1 so it will take 1 hour for them to go to the house at the same rate.

A Tip From Me To You:

sometimes the question tries to trick you to make you overthink it so don't overthink it, try to just solve it simply.

Have a great day! <3

Answer:

Yes, Jason's work is correct.

Step-by-step explanation:

When you use the commutative property, you can swap the numbers position and still get the same answer.

Hope this helps!!

Answer:

The answer is A No, he changed the terms

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2\cdot35\cdot20+2\cdot35\cdot15+2\cdot20\cdot15+2\cdot9\cdot18+2\cdot9\cdot21+18\cdot21=\\\\=1400+1050+600+324+378+378=4130\,m^2[/tex]

Answer: 0.03, 45.6

Step-by-step explanation: for the first question, move the decimal point two points to the right. 0.03 is the first answer. Next, move the decimal point two points to the left, you will get 45.6

Answer:

4:24

Step-by-step explanation:

12 + 4 + 8 = 24 and there are only 4 bananas. So, the answer is 4:24

hope that helps!!

Answer: 1 : 6

Step-by-step explanation: 4 over 24 equals 1/6th or 1:6 .

Answer:

y=1/4x-1

Step-by-step explanation:

So lets start off by going over what slope intecerp form is.

Slope intercept form looks like this:

y=mx+b

Lets go over the different values in this formula:

y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.

m is always teh slope. The slope is y/x, basically just the change in y over the change in x.

x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.

Lastly we have b. This is what y equals when x is 0.

Lets use this to make our slope intercept.

So we have:

y=mx+b

y and x are not going to have a written value, so we only need to determine m and b.

So lets find b.

B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)

The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).

So b will be: -1/-4, or just 1/4:

y=1/4x+b

Now lets find b.

Lets specificly lookat what y equals when x is 0 on the graph.

We can see the point is (0, -1)

So the y intercept is -1. This means b is equal to -1:

y=1/4x-1

This is your slope intercept!

Hope this helps! :D

Sorry for bad grammar, I am writting on a strange keyboard.

Answer:

na u aint

Step-by-step explanation:

i get that feeling all the time it sucks

Answer:

Graph B

Step-by-step explanation:

[tex]y = x^2[/tex] is a quadradic function. It graphs as a parabola.  It has a vertex point of (0,0) and it opens upwards.

See the graph attached.

Hope this helps.

Answer:

D.) Bring in the computer and the criminal when they come to court.

It came in my test.

Answer: 1:44

Step-by-step explanation: 1:32. take the 32 and add 12. 1:44

Answer:

1:32

Now add 12 minutes to 32.

1:44

Step-by-step explanation:

The number on the left of the colum is the hour and the number on the right of the colum is the minutes.

Answer:

248 cm

Step-by-step explanation:

62×4=248

62+62=124+64=186+64=248 cm

Answer:

A. 30

B. 6

Step-by-step explanation:

We'll use P for Penny's age and B for Benny's age. When Penny is 24, Benny will be 1.25 her age. Thus:

B = 1.25 * 24

(benny is 25% older than her)

So Benny's age then will be 1.25 * 24 = 30.

When Benny is 30, Penny will be 24. This means that he is older than her by 6 years. Think about it for a second: Benny will always be 6 years older than her. You can write that as:

B = P + 6

If Benny is 12 years old now,

12 = P + 6

Subtract 6 from both sides and you get

6 = P

or P = 6

Penny is 6 years old when Benny is 12.

Answer:

Before we discuss permutations we are going to have a look at what the words combination means and permutation. A Waldorf salad is a mix of among other things celeriac, walnuts and lettuce. It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important.

If the order doesn't matter then we have a combination, if the order does matter then we have a permutation. One could say that a permutation is an ordered combination.

The number of permutations of n objects taken r at a time is determined by the following formula:

P(n,r)=n!(n−r)!

Example

A code have 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?

A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations. In order to determine the correct number of permutations we simply plug in our values into our formula:

P(n,r)=10!(10−4)!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅16⋅5⋅4⋅3⋅2⋅1=5040

In our example the order of the digits were important, if the order didn't matter we would have what is the definition of a combination. The number of combinations of n objects taken r at a time is determined by the following formula:

C(n,r)=n!(n−r)!r!

Four friends are going to sit around a table with 6 chairs. In how many ways could the friends sit?

Step-by-step explanation:

Answer:

c = 29

Step-by-step explanation:

Since the opposite side of the given angle 41, is given and the hypotenuse has to be found out, we will use the Sin ratio

Sin(41) = [tex]\frac{19}{c}[/tex]

=> To isolate the c all by itself first multiply c on both sides of "="

Sin(41) * c = 19

=> Now divide each side by Sin(41)

c = [tex]\frac{19}{Sin(41)}[/tex]

c = 28.96 or 29

Hope this helps!

Answer:

27.9

Step-by-step explanation:

Answer:

3x + 2x + 4x =180

9x = 180

x = 20

4x 2x 3x

= 4 ×20 = 2× 20 = 3× 20

=80 = 40 = 60