Select the graph that correctly translates ƒ(x) = |x| 4 units in the negative x-direction and 3 units in the positive y-direction.

a. The value of the car when it is 4 years old is approximately $13,645.23.

b. The car has depreciated by about $16,367.54 after 5 years.

To find the value of the car when it is 4 years old, we can substitute t = 4 into the given function:

c(4) = 27,200(1 - 0.21)^4

c(4) = 27,200(0.79)^4

c(4) ≈ 13,645.23

b. To find the total depreciation amount after 5 years, we need to find the difference between the original purchase price ($27,200) and the value of the car after 5 years. Using the function given, we can find the value of the car after 5 years by setting t = 5:

c(5) = 27,200(1 - 0.21)^5

c(5) = 27,200(0.79)^5

c(5) ≈ 10,832.46

Therefore, the total depreciation amount after 5 years is:

27,200 - 10,832.46 ≈ $16,367.54

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From the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

Given the graph given that represents the data that was collected by students shows the following:

In summary, from the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

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Answer:

(-6,-4)

Step-by-step explanation:

Rule for reflection over the y axis (x,y) -----> (-x,y)

Explanation of rule : change the sign of the x value and keep the y value the same.

Applying rule to given coordinate

(6,-4) -----> change the sign of 6 to get -6 and keep -4 as it is -----> (-6,-4)

Refer to the attached image for more validation. Note that x=0 is the y axis

Answer:

  9.89×10^-9

Step-by-step explanation:

  0.000 000 009 89 = 9.89×10^-9

__

We have introduced spaces in the number to make the digits easier to count. (Some technical publications will write the number with thin spaces for just that reason.) The most-significant digit is in the 9th place to the right of the decimal point, so has a place value of 10^-9.

Answer:

Average total cost per class is 13.5

Step-by-step explanation:

A yoga studio charges a 150 yearly fee for membership plus150yearlyfeeformembershipplus12 for each class.

Yearly charge = 150 $

Charge per class = 12 $

A studio member takes 100 classes per year

Number of class attended by studio member = 100

We need to find average total cost per class for this member for a year.

Total charge = Yearly charge + Number of class attended x Charge per class

Total charge = 150 + 100 x 12

Total charge = 150 + 1200

Total charge = 1350 $

\begin{gathered}\texttt{Average total cost per class = }\frac{\texttt{Total charge}}{\texttt{Number of class attended by studio member}}\\\\\texttt{Average total cost per class = }\frac{1350}{100}=13.5\$\end{gathered}

Average total cost per class =

Number of class attended by studio member

Total charge

Average total cost per class =

100

1350

=13.5$

Average total cost per class = 13.5 $

Study hard

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Answer:

1,530

Step-by-step explanation:

Total charge = 180 + 75 x 18

Total charge = 150 + 1,350

Total charge = 1,530 $

Answer:

4/5 = 8/10

Step-by-step explanation:

x/5 = 8/10

x = 8/10 × 5

x = 4

Answer: 14 hours

Step-by-step explanation: First I found the unit rate of how much money per hour. So, 357 divided by 17 = 21. So know I know that she earns 21$ per hour. Then, I did 237 divided by 17 which would be 13 remainder 16. Since he only get paid if he works for a full hour, I think the answer would be 14.

[tex]\begin{array}{ccll} \$&hrs\\ \cline{1-2} 357&17\\ 237&x \end{array}\implies \cfrac{357}{237}=\cfrac{17}{x}\implies \implies \cfrac{119}{79}=\cfrac{17}{x}\implies 119x=1343 \\\\\\ x = \cfrac{1343}{119}\implies x = \cfrac{79}{7}\implies x = 11\frac{2}{7}\leftarrow \textit{11 hours, 17 minutes and 8 seconds}[/tex]

Answer: 5 Dollars

Step-by-step explanation: You only have to substract 13 of 18, the answer of that is 5.

The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions

The correct responses are;

Reasons:

The location of the start point of the race = (-5.3, 1)

Location of the finishing point = (1, -5.3)

Part A: The signs of the x and y-values in the quadrants are;

The coordinates of the starting point is (-5.3, 1), therefore, given that the x-

coordinate is negative and the y-coordinate is positive, the quadrant of the

starting point is quadrant II (the second quadrant).

The coordinates of the finishing point is (1, -5.3), the x-value is positive and

the y-value is negative, which indicates that the quadrant of the finishing

point is quadrant IV (the fourth quadrant).

Part B: The location of the checkpoint is; (5.3, 1)

The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.

The similarity is that, the magnitude of the x, and y values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on the same horizontal line.

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Answer:

60

Step-by-step explanation:

56-7+22÷2

56-7+11

67-7=60

hope it helps thanks

Answer:

  CPCTC

Step-by-step explanation:

In each case the half-angles resulting from bisecting the angles are corresponding parts of congruent triangles, hence congruent themselves. (CPCTC)

When a segment divides an angle into two congruent parts, it is an angle bisector.

Answer:

Hola

tengo una pregunta

de que país

eres? ._.

Answer:

12 students

Step-by-step explanation:

30×0.4=12.

Answer:

76 m^2

Step-by-step explanation:

To find the area of the figure, you must divide the figure into multiple shapes. By dividing the figure into a 4 x 9 rectangle and a 5 x 8 rectangle, you can calculate the area of these two figures and add them together. After doing this, your answer should be 76 m^2.

Answer:

4x+14 = 2(2x+7}

12x+6=6{2x+1}

Answer:

$5.84

Step-by-step explanation:

Answer: the 20 ounce box cost less per ounce

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

1+1=2

Answer: B

Step-by-step explanation: Best way to solve this is to first take the square root of 9 which is 3. Notice in the expression there is an x^4 but once the square root of 9x^4 is taken, you get 3x^2. There is a minus sign in the middle, so answer choice C and D are out. Now, there is answer choice A or B. Now we take the square root of 12 but 12 isn't a perfect square root. But, you can think of 2 numbers that when you multiply give you 12 and one of those numbers is a perfect square root. In this case, it would be 4 because 4 times 3 = 12. Square root of 4 is 2. Again, notice there is an x^2. Once the square root of 4 is taken, you are left with 2x and square root of 3. The square root of 3 isn't a perfect square root. But, you can write the expression in the following way:

2x[tex]\sqrt{3}[/tex] - 3[tex]x^{2}[/tex]

Hope this helps.

The sum of the remote interior angles are equal to the exterior angles.

The completed statements are;

∠1 and ∠3 are remote interior angles of ∠6

∠3 and ∠5 are remote interior angles of ∠2

Reasons:

Remote interior angles are the angles that are not on the same vertex as an exterior angle

The remote interior angles of ∠4 are ∠1 and ∠5

Similarly, we have;

∠1 and ∠3 are remote interior angles of ∠6

∠3 and ∠5 are remote interior angles of ∠2

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Answer: The answer in the first image.

Explanation: The explanation is in the second image.

Answer:

105

Step-by-step explanation:

First, adding two sequence numbers and that result become upper number

x÷2=1.000.000.000

x=1.000.000.000×2

x=2.000.000.000

Check:

2.000.000.000÷2=1.000.000.000

let's find the value of x

Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

Common ratio is 1/4

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:

a, ar, ar2, ar3, ar4, and so on.

Where a is the first term and r is the common ratio.

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4

gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]

Hence, common ratio r = 1/4

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Answer:

it makes no sence

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Mean x¯¯¯ 7.25

Median x˜ 7

Mode 6

Range 12

Minimum 1

Maximum 13

Count n 16

Sum 116

Quartiles Quartiles:

Q1 --> 5

Q2 --> 7

Q3 --> 10

Interquartile

Range IQR 5

Outliers none

7.25 - 7 = 0.25