A car salesperson earns a 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? *

Answer:

9 units

Step-by-step explanation:

First of all, let us understand the meaning of dilation.

Dilation means to change the size of any image or line or a figure.

Dilation can be used to enlarge (dilation by a factor greater than 1) the original figure.

OR

Dilation can be used to make the image smaller (dilation by a factor lesser than 1) the original figure.

Here, we are given that an image with 4 points ABCD is dilated by a scale factor of \(\frac{1}{3}\).

Its sides will be AB, BC, CD and DA.

Perimeter is equal to the sum of all the sides of a closed figure.

So, perimeter of ABCD = AB + BC + CD + DA = 27 units ...... (1)

Now, it is dilated by a scale factor of \(\frac{1}{3}\).

So, all the sides will become smaller i.e.

A'B' = \(\frac{1}{3}\) AB

B'C' = \(\frac{1}{3}\) BC

C'D' = \(\frac{1}{3}\) CD

D'A' = \(\frac{1}{3}\) DA

Perimeter of A'B'C'D' = A'B' + B'C' + C'D' + D'A' = \(\frac{1}{3}\)AB + \(\frac{1}{3}\)BC + \(\frac{1}{3}\)CD + \(\frac{1}{3}\)DA

\(\frac{1}{3}\) (AB + BC + CD + DA ) = \(\frac{1}{3} \times 27\)(By equation (1))

Perimeter of A'B'C'D' = 9 units

The 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list is (0.28, 0.38).

Let's calculate the sample proportion;

Sample proportion = 93 / 283 = 0.33

The margin of error of the data can be calculated by;

Margin of error = Z * √(p(1-p) / n)

where:

Margin of error = 1.96 * sqrt(0.33 * (1-0.33) / 283) = 0.05

The confidence interval can be calculated as

Confidence interval = 0.33 ± 0.05 = (0.28, 0.38)

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Answer:

155/20

Step-by-step explanation:

155/20 in decimal form is 7.75, which is only 0.25 off of 8

7.511 is 0.489 off of 8

8.3% is technically not anywhere near 8 because a percentage needs to be a percentage of something in order to make sense.

Answer:

(C) Multiply first equation by -2 and second equation by 3, solution (1, 1)

Step-by-step explanation:

Simultaneous equations are set of equations which possess a common solution. The equations can be solved by eliminating one of the unknowns by multiplying each of the equations in a way that a common coefficient is obtained in the unknown to be eliminated.

Given the simultaneous equations:

3x - 5y = -2

2x + y = 3

First step:

Multiply first equation by -2 and multiply second equation by 3,

-6x + 10y = 4

6x + 3y = 9

Second step:

Add the two equations together,

13y = 13

Divide both sides by 13

y = 1

Third step:

Put y = 1 in the first equation

3x - 5(1) = -2

3x - 5 = -2

3x = 5 - 2

3x = 3

Divide both sides by 3:

x = 1

solution (x,y) = (1,1)

Option C

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Answer:

Step-by-step explanation:

n = 9c - 80

n = 19

19 = 9c - 80

-9c = -80 - 19

-9c = -99

c = 99 / 9

c = 11

Hope this helps

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Answer:

34992/81 or 81*x=34992 = 432

Step-by-step explanation:

We are given r(x) and c(x).

p(x) = 8x - (3x + 12)

p(x) = 8x - 3x - 12

p(x) = 5x - 12

Done.

Answer:

It contains 0 or 2 triangles.

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

A

Step-by-step explanation:

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Answer:

3/6 and 1/2

Step-by-step explanation:

If you divide each side of the fraction by 2 it will give you 1/2.

The fraction 3/6 has 6 in the denominator, and it is equivalent to 1/2 in which 6 is not in the denominator.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

As we know, we can write a fraction in the form of p/q where p is the numerator and q is the denominator.

Here q = 6

So the fraction:

= p/6

Let's suppose p = 3

So the fraction becomes:

= 3/6

Divide by 3 on numerator and denominator:

= 1/2

Thus, the fraction 3/6 has 6 in the denominator, and it is equivalent to 1/2 in which 6 is not in the denominator.

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Answer:

7x - 8

Step-by-step explanation:

eight less than product of seven and X

seven and x = 7x

eight less than = - 8

put it all together = 7x - 8

Answer:

7x - 8

Step-by-step explanation:

product of seven and X

7 X x = 7x

8 less than it

7X - 8

This is because we're looking for something that is smaller than 7X by 8

Answer:

18 dozen

Step-by-step explanation:

2/3 = 12/x

(3*12) / 2 = 18

The required coordinates of E are (2 + 2 √(13), -2) and the coordinates of M are (-4, 2 + 2 √(13)).

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the formula (x₁ + x₂)/2, (y₁ + y₂)/2.

Since G and O are the midpoints of the sides of square GEOM, the length of each side of the square is the distance between G and O. The distance between the two points can be calculated using the distance formula:

distance = √((x₁ - x₂)² + (y₁ - y₂)²)

Plugging in the coordinates of G and O, we get:

distance = √((-4 - 2)²+ (2 - (-2))²)

distance = √(6² + 4²)

distance = √(36 + 16)

distance = √(52)

distance = 2 √(13)

Thus, the length of each side of the square is 2 √(13).

To find the coordinates of E, we need to move 2 √(13) units to the right of G. Therefore, the coordinates of E are (2 + 2 √(13), -2).

To find the coordinates of M, we need to move 2 √(13) units above O. Therefore, the coordinates of M are (-4, 2 + 2 √(13)).

So the coordinates of E are (2 + 2 √(13), -2) and the coordinates of M are (-4, 2 + 2 √(13)).

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Answer:  2/5

Step-by-step explanation:

\(-\frac{2}{5} + \frac{4}{5}\)= 2/5

Answer:

−2/5 + 4/5= 2/5

2/5

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Answer:

x = 21

Step-by-step explanation:

As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:

3x + 18 + 4x + 15 = 180 add like terms

7x + 33 = 180 subtract 33 from both sides

7x = 147 divide both sides by 7

x = 21

The minimum dimensions of the rectangular box is 90mm by 90mm by 36mm when converted to millimeter

There are three dimensions of a rectangular box which are the length, width, and height . The three measurements are multiplied together using Length × Width × Height in the same units.

The radius of the circular mat = 4.5cm and 45{converted to millimeter}

the total length of the mat = 2 × 45mm {2radius = diameter}

the total length of the mat = 90mm

Since the length of the circular mat is the same around the mat, hence the rectangular box has two dimensions of length of 90mm and width of 90mm

The total thickness of the 12 mats will determine the height of the rectangular box so;

the thickness of a mat is given as 3mm

total thickness of 12 mats = 3mm × 12

total thickness of 12 mats = 36mm

Therefore, the rectangular box will have a minimum dimension of length 90mm by width 90mm by height 36mm

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Answer:

$840.77

Step-by-step explanation:

Answer:

= x(x+1)(x-1)

Step-by-step explanation:

Given the expression x³ - x

On factorizing

x³ - x

= x(x²-1)

Using difference of two square

a² - b² = (a+b) (a-b)

x² - 1

= x² - 1²

= (x+1)(x-1)

The complete factor

x³ - x

= x(x²-1)

= x(x+1)(x-1)

\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)

where, n denotes to number of elements in set .

Since, given set contains 4 elements .

Thus , 2⁴ {2 raise to power 4} .

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)

Therefore, Required subsets are 16.

They are , Namely;

\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)

_____________________________

If n is the number of elements in the set then,

No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).

Let's take another example, {1,2}

Here, n = 2

subsets =2^2 =4

Subsets = ϕ, {1}, {2},{1,2}

Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set

Answer:

A = 50.27

Step-by-step explanation:

A=πr2=π·42≈50.26548

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\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

              What is the area of a circle with a radius of 4?

\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

\(\textsf{Formula for Area of a Circle :}\)

\(\dashrightarrow\star\bigstar\boxed{\boxed{A=\pi r^2}}}\)

Where

Using the provided information, we substitute the values into the formula:-

\(\bold{A=\pi (4)^2}\)

First, square the radius:-

\(\bold{A=16\pi }\)

Now multiply:-

\(\bold{A=50.3\:units^2}\)

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Answer:

£4.50

Step-by-step explanation:

She is at the car park for 2 hours and 30 minutes.

It would be £4.50 because 2 hours and 30 minutes is between 2-4 hours.

It can't be £3.00 because it would be too little time (2 hours or less) and it wouldn't be £5.50 because she would be paying for more time than she was there for (5 hours or more).

Hope this helps :)

Answer:what were the anwsers

Step-by-step explanation:

Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.

Using the power reducing formulas the expression \(5cos^4(x) = 5(1 + cos(2x))^{2/4}\).

We can define higher powers of a trigonometric function in terms of lower powers of the same function using the power-reducing formulas, which are trigonometric identities. Higher powers of cosine can be expressed using this formula in terms of sine and cosine's initial powers. For the other trigonometric functions, such as sine and tangent, there are equivalent formulas. These formulas can be used to solve trigonometric equations and to simplify trigonometric expressions.

The given function is 5cos^4(x).

Now, the power reducing formulas are given by:

\(cos(2x) = cos^2(x) - sin^2(x) = 2cos^2(x) - 1\\cos^2(x) = (1 + cos(2x))/2\)

Substituting the value of second equation in 1 we have:

cos(2x) = 2(1 + cos(2x))/4 - 1

\(cos(2x) = (2cos^2(x) - 1) = cos^2(x) - sin^2(x)\)

Now we have:

\(cos^2(x) = (1 + cos(2x))/2\)

Thus,

\(cos^4(x) = (1 + cos(2x))/2)^2\)

Now multiplying by 5:

\(5cos^4(x) = 5(1 + cos(2x))^{2/4}\)

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x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

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Answer: x=11

Explanation: See below!

I hope this helped!

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Answer:

Step-by-step explanation:

\(\sqrt{x - 2} + 8 = x\\ \sqrt{x - 2} = x - 8\\x - 2 = (x - 8)^2\\x - 2 = x^2 - 16x + 64\\x^2 - 17x + 66 = 0\\(x^2 - 11x) - (6x - 66) = 0\\x(x - 11) - 6(x - 11) = 0\\(x - 6)(x - 11) = 0\\x - 6 = 6 >> x = 6\\x - 11 = 0 >> x = 11\)