The value of Kelsey's car will depreciate (decrease) by a rate of 15% each year. She wants to write an exponential equation to find out what it will be worth in 6 years. What is the multiplier for this situation?

Answer:

The solution for the system of right triangles are, respectively: [tex]a = 2\sqrt{6}[/tex], [tex]b = 4\sqrt{3}[/tex], [tex]c = 4\sqrt{6}[/tex], [tex]d = 6\sqrt{2}[/tex]

Step-by-step explanation:

By Geometry, we get the following equivalencies:

[tex]a = 2\sqrt{6}[/tex] (45 - 45 - 90 Theorem)

[tex]b = \sqrt{2}\cdot (2\sqrt{6})[/tex] (45 - 45 - 90 Theorem)

[tex]b = 4\sqrt{3}[/tex]

[tex]c = \frac{2\sqrt{6}}{\frac{1}{2} }[/tex] (30 - 60 - 90 Theorem)

[tex]c = 4\sqrt{6}[/tex]

[tex]d = \frac{2\sqrt{6}}{\frac{\sqrt{3}}{3} }[/tex] (30 - 60 - 90 Theorem)

[tex]d = 6\sqrt{2}[/tex]

Answer:

2 inches

Step-by-step explanation:

1/4 = 400

3200/400 = 8

8 x 1/4 = 2

A line on a map need in order to represent 3200 miles would be 2 inches long.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

On a map, 1/4 inch represents 400 miles.

1/4 = 400

3200/400 = 8

8 x 1/4 = 2

A line on a map need in order to represent 3200 miles would be 2 inches long.

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Answer:

Step-by-step explanation:

[tex]\frac{n}{2} +10=2n-4[/tex]

The equation represent the given situation is n/2 -10 =2n-4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, One half of the number n increased by 10.

That is n/2 -10

Four less than twice the number.

Here, 2n-4

Now, n/2 -10 =2n-4

n/2 -2n = -4+10

(n-4n)/2 = 6

-3n=12

n=-4

Therefore, the equation represent the given situation is n/2 -10 =2n-4.

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Answer:

Step-by-step explanation:

The y intercept, also known as 'c' in the formula y = mx + c acts as the coordinate for y when x = 0 [E.g. (0, 24) which c = 24]

Question 1 =  y = -5x + 50

On the graph, c = 50 [ y = mx + 50 ]

30 - 15 = 15

7 - 4 = 3

15/3 = 5 (for the gradient, or 'm', which you may use the formula 'rise/run' on the line shown) [ y = 5x + 50 ]

ALTHOUGH, in question one, the line has a Negative Correlation, it slants downwards on the slope, so the gradient will be negative : y = -5x + 50

If x = 9, y = (9 x -5) + 50, = -5

y = -5

Question 2 =  y = 2.5x + 5

c = 5

m = 5/2 = 2.5

y = 2.5x + 5

when y = 30 > x = 10

30 = 2.5x + 5

30 - 5 = 25

25 = 2.5x

x = 25/2.5

x = 10

Question 3 = y = -10x + 50

c = 50

m = (30 - 20) / 1 = 10

y = -10x + 50

when x = 4 > y = (-10 x 4) + 50

y = -40 + 50

y = 10

Answer:

No solution is possible from the information provided.

Step-by-step explanation:

Answer: Hello your question lacks some data hence i will provide a general solution within the scope of your question.

answer:

Height = Area of parallelogram / base of parallelogram

Step-by-step explanation:

The corresponding height of the parallelogram can be calculated using the general equation below :

Height = Area of parallelogram / base of parallelogram

Kindly input the values you have into the relation to get the corresponding height of the parallelogram.

Answer:

hope it is helpful to you

Answer:

117.18 yards

Step-by-step explanation:

480in=40ft

2.17x4.05x40=351.54tf

351.54ft=117.18yrds

Answer:

Well, I can answer the 1st question. There are 2 angles and 3 sides on the triangle.

Step-by-step explanation:

Answer:

y=10

Step-by-step explanation:

Answer:

[tex]{ \tt{y {}^{2} = 4 {ax} }} \\ = - 10[/tex]

exercise 1

1) 12 000 : 1,33 = 9022,55 €

exercise 2

1) 9200 : x = 100% : 2%

  (9200*2) : 100 = 184 rupees

(sorry dont know the other two ones)

Answer:

The workout ratio of the online sales to shop sales is 1:3

Step-by-step explanation:

Given:

A jewelry shop sells 240 necklaces in a month. 180 of the necklaces were sold via the shops website. The rest were sold in a High Street shop.

To find:

Work out the ratio of online sales to shop sales.

Solution:

Total no necklaces = 240

Necklace sold on website = 180

Remaining necklace sold via street = 240 - 180 = 60

Ratio = 60 : 180 = 1 : 3

Answer:

(-8 , -2)

Step-by-step explanation:

the coordinates of B’ are (-8 , 2)

then

Since B also is the image of B’ through the reflection across the x-axis

then the coordinates of B are (-8 , -2)

Answer:

(-8, -2)

Step-by-step explanation:

Answer:

x= +8 or -8

Step-by-step explanation:

x=  -b±[tex]\sqrt{b^2-4ac}[/tex] /2a

x=−0±[tex]\sqrt{0^2 negative4(1)( negative 64)}[/tex] /√2(1)

x=−0±0[tex]\sqrt{256}[/tex]/√2

x=−0±256−−−√2

x=−0±162

x=16/2 x=−16/2

x=8

x=−8

Answer:

Step-by-step explanation:

B3)  

z + 127 = 180   {linear pair}

z = 180 - 127

z = 53

y=  55    {Corresponding angles}

w + z + y =  180 {angle sum property of triangle}

w + 53 + 55 = 180

   w + 108 = 180

w = 180 -108

w = 72

x = w {Vertiaclly opposite angles}

x = 72

B4)  q +  101 = 180 {Linear pair}

               q = 180 -101

              q = 79

p = 142     {Corresponding angles}

p + s = 180        {linear pair}

142 + s = 180

        s = 180 - 142

        s = 38

s +q +r = 180          {angle sum property of triangle}

38 +  79 + r = 180

          117 + r = 180

                  r = 180 - 117

                  r = 63

y + 63 = 180 {linear pair}

y = 180 - 63

y = 117

x = q = {corresponding angles}

x = 79

Answer:

12600 in³

Step-by-step explanation:

Applying,

V = lwh................. Equation 1

Where V = volume of the prism, l = length of the base, w = width of the base, h = height of the prism.

From the question,

Given: l = 40 inches, w = 35 inches, h = 12 inches

Substitute these values into equation 2

V = 40(35)(12)

V = 16800 in³

If the volume of water is 75% the capacity of tank.

Therefore,

Volume of water = 0.75(V)

Volume of water = 0.75(16800)

Volume of water = 12600 in³

Answer:-2

Step-by-step explanation:

Answer:

187

Step-by-step explanation:

Fraction to make topping:

1/4 cups of white ; 2/3 cups of brown

Combined = 1/4 + 2/3 = (3 + 8) /12 = 11/12 cups

Fraction of combined used to top muffin = 1/12

Number of muffins that can be topped per combination made :

11/12 ÷ 1/12 ; 11 /12 * 12 / 1 = 11 muffins

Recall :

Each sugar has 11 1/3 cups

For brown sugar :

34 /3 ÷ 2/3 cups

34 /3 * 3 /2 = 17

For white sugar :

34 /3 * 4 /1 = 45.33

However, the highest amount of combined muffin topping for white sugar will be restricted by the number of brown :

Hence,

11 muffins can be topped from each combined mixture ;

Total muffin that can be topped :

17 * 11 = 187 muffins

Answer:

D. (0.6, 1.3)

Step-by-step explanation:

we see in the table that the smaller x the smaller the difference between the y values of both functions. but it must not get too small, as for x=0.5 the difference gets bigger again.

the minimum difference we see for x=0.6. and the y-values are 1.2 and 1.4.

the solution of the system of equation means that both y values are the same for the "shared" x-value (which is the solution of the system, the point where both functions cross each other).

so, we consider 0.6 the best approximation for the true solution for x. and the solution for y is then somewhere in the middle between 1.2 and 1.4. so, 1.3 is a good approximation.

therefore, (0.6, 1.3) is the closest (= best) approximation to the real solution of all provided answer options.

Answer:

48 ft

Step-by-step explanation:

Here, we want to find the length of the wire

from the diagram, we can identify two similar triangles

The smaller one and a bigger one

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

We can start by getting the height of the tower

we have this as:

8/11 = 28/x

8 * x = 28 * 11

8x = 308

x = 308/8

x = 38.5 ft

So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height

So we can use the Pythagoras’ theorem to get the hypotenuse

Let us call this g

mathematically according to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

thus, we have it that;

g^2 = 38.5^2 + 28^2

g^2 = 2,266.25

g = √2,266.25

g = 47.61 which is approximately 48 ft

Answer:

huh???

Step-by-step explanation:

Answer:

The answer is 4x+7

Step-by-step explanation:

3x+7+x

= 3x+x+7

= 4x+7

(I used symbolab)

Answer:

35.75

Step-by-step explanation:

times 65 by 55%

Answer:

4 + 6x = 70

6x = 66

x = 11

Answer:

Step-by-step explanation:

3 roots

namely -7/9,-1/4.-4/3

Answer:

hello brother or sister can you please send a picture of the graph in provided but if not there are no specific calculations on reflection so you have to be smart on it and try imagining it or have your own scratch

Answer:

jk

Step-by-step explanation:

Answer:

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