A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be, to the nearest cent, after 6 years?

Answer:

yˆ=32.11⋅1.08x

Step-by-step explanation:

just took the test

Option: A is the correct answer.

The quadratic regression equation for the data set is:

   A. y = 0.056x²+1.278x-0.886

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

We are given a set of data value as:

        x                y

        3             3.45

        5              6.9

        6             8.79  

        8             12.91

        10            17.48

        12            22.49

        15            30.85

On plotting these points on a scatter plot we see that the line that best fits these data points is a parabola i.e. the equation is a equation of a quadratic function.

The equation of the line of best fit is:

y = 0.056x²+1.278x-0.886

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The equation of the ellipse with foci at (0 ±10) and vertices at (0 ±11) is [tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

We have:

Vertices = (0, ± 11),

Foci = (0, ± 10)

The vertices and the foci are represented as:

Foci = (0, ± a)

Vertices = (0, ± c)

So, we have:

a = 10

c = 11

The equation of b is calculated using:

b² = c²- a²

So, we have:

b² = 11²- 10²

Evaluate

b² = 21

The equation of the ellipse is then represented as:

[tex]\frac{x^2}{b^2} + \frac{y^2}{a^2} = 1[/tex]

This gives

[tex]\frac{x^2}{21} + \frac{y^2}{10^2} = 1[/tex]

[tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

Hence, the equation of the ellipse is [tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

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Answer:

x^2/221+Y^2/121=1

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve this inequality, isolate the term of y from one side of the equation.

y-24<16

First, add 24 from both sides.

[tex]\sf{y-24+24<16+24}[/tex]

Solve.

Add.

[tex]\sf{24+16=40}[/tex]

[tex]\large\boxed{y<40}[/tex]

Therefore, the solution is y<40.

y=25 should be subtract by 24 is less than 16.

25-24<16

Solve.

Subtract.

25-24=1

Rewrite the problem down.

1<16

These statements are true.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{We know that }<\large\text{ is less than and }> \large\text{ is greater than.}[/tex]

[tex]\large\text{If y = 25, then substitute it into the given equation or inequality.}[/tex]

[tex]\mathsf{\underline{25}-24<16}[/tex]

[tex]\mathsf{25-24=\bf 1}[/tex]

[tex]\large\text{16 is \underline{greater than} 1 but 1 is \underline{less than} 16}[/tex]

[tex]\mathsf{1<16}[/tex]

[tex]\boxed{\boxed{\large\text{Therefore, your answer is: \boxed{\mathsf{\bold{1<16}\ \& \ it \ is \bold{\ TRUE}}}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

2×2+72-15

=4+72-15

=76-15

=61

3×2+13×-10

=6-130

=-124

Answer:

I kick it back Martha :).......

Answer:

GIME SOME POINTS

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 4.5

Answer:

width: 4cm

length: 13cm

Step-by-step explanation:

Let the width of the rectangle be w. From the problem, we can infer that the length would be equal to 3w + 1. The formula for the perimeter of a rectangle is:

P = 2(l + w)

where P is the perimeter, l is the length, and w is the width.

We can substitute our values into the equation:

34 = 2(3w + 1 + w)

17 = 3w + 1 + w

17 = 4w + 1

16 = 4w

w = 4

We can substitute this into the length:

3w + 1

3(4) + 1

12 + 1

13

Answer:

56 dashes of cinnamon

Step-by-step explanation:

7 dashes of cinnamon = 1 pan of brownies

And we need to make 8 pans of brownies so...

7 dashes of cinnamon x 8 pans of brownies = 56 total dashes of cinnamon :)

Answer:

c

Step-by-step explanation:

Answer: (6,8)

Step-by-step explanation:

Answer:

(6, 8)

Step-by-step explanation:

Answer:

A. is the appropriate answer to carl's proof

In UVW, if XY || VW then UX/XV= UY/ YW. Then the correct option is A.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Carl wants to prove that if a line is parallel to one side of a triangle, then it divides the other two sides proportionally.

We know that if two triangles are similar, then the ratio of the corresponding sides will remain constant.

Let the triangle UVW and XY is parallel to the side VW.

Then the triangle UVW and UXY will be similar triangle.

Then the ratio of their corresponding sides will be

UX / XV = UY / YW

In UVW, if XY || VW then UX/XV= UY/ YW.

Then the correct option is A.

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Answer:

answer is C

hope it is helpful..

9514 1404 393

Answer:

  C.  36°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  x° +2x° +72° = 180°

  3x° = 108° . . . . subtract 72°

  x° = 36° . . . . divide by 3

Answer:

The question is a bit incorrect as there isnt mentioned how many cups are there.But if you meant how many 30ml cups can Jannie fill it would be 66.66 cups or 67/66 cups .

Step-by-step explanation:

If you would correct your answer I would try my best to give you the brainliest answer.

Answer:

89.3

Step-by-step explanation:

89.288

Eight is greater than five so we add 1 to the underlined number

Answer:

B. 1.618

Step-by-step explanation:

I calculated it logically

Answer:

86

Step-by-step explanation:

Once you put the numbers in correct order, 86 would be in the middle making it the median.

9514 1404 393

Answer:

  7.4

Step-by-step explanation:

Put the given value into the formula and do the arithmetic.

  R = log(2.4×10^7)

  R ≈ 7.3802 ≈ 7.4

The earthquake is about 7.4 on the Richter scale.

Answer:4.077669903

Step-by-step explanation:

4×103 is 4.04 times the 16*105.

Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.

Let us consider the number be 'x'.

So, 4*103 of x = 16*105

      x= 16*105/4*103

       x= 4*1.01

       x= 4.04

Hence, the number is 4.04.

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Answer:

Your expected loss per game is of $0.31.

Step-by-step explanation:

In a standard 52-card deck, we have that:

There are 12 face cards.

What is your expected gain or loss (in dollars) per game?

12/52 probability of winning $2.

1 - 12/52 = 52/52 - 12/52 = 40/52 probability of losing $1. So

[tex]E = \frac{12}{52}*2 - \frac{40}{52}*1 = \frac{24 - 40}{52} = -\frac{16}{52} = -0.31[/tex]

Negative, so a loss is expected.

Your expected loss per game is of $0.31.

Answer:

increasing

Step-by-step explanation:

Answer: x = 10;

Both the angles are congruent, therefore;

8x - 12 = 6x + 8

=> Now subtract 6x from each side of "="

2x - 12 = 8

=> Add 12 to each side;

2x = 20

=> Lastly divide each side by 2;

x = 10

Hope this helps!

Answer:

10

Step-by-step explanation:

From the image provided, it shows that both 8x - 12 would equal 6x + 8 because their angles are the same due to their placement. With that it turns into 8x - 12 = 6x + 8. Then you can simplify to 2x = 20 by adding 12 to both sides, and subtracting 6x. Then 20 divided by 2 to get x by itself equaling 10.

Answer:

i think it's solar

Step-by-step explanation:

okayyyyyyyyyyyyyyyyy

Answer:

solar

Step-by-step explanation:

oil ,coal and natural gas are fossil fuels

Answer:

Step-by-step explanation:

Answer: 17

Step-by-step explanation:

[tex]\huge \pink\star\huge{ \pink{\bold {\underline {\underline {\red{Answer }}}}}} [/tex]

➭Doing it all using mental math

[tex] 1037 + 4 \\ =1041[/tex]

[tex]1041 + 76 \\ = 1117[/tex]

Answer:

Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. The process entails collecting like terms, which implies adding or subtracting terms in an expression.