Write the exponential equation for this scenario. Mike buys a car for $45,000.00. The cars value depreciates (loses value) at a rate of 18% per year.
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Answer:

The scale factor SF = [tex]\frac{7}{3}[/tex] ⇒ C

Step-by-step explanation:

If the point (x, y) dilated by a scale factor n, then the coordinates of its image are (n x, n y)

Let us solve the question

∵ The coordinates of the point K are (-3, 6)

∴ x = -3 and y = 6

∵ The coordinates of its image k' are (-7, 14)

→ From the rule above the image is (n x, n y)

∵ The scale factor is n

∴ n x = -7

∴ n y = 14

→ Substitute x by -3

∵ n (-3) = -7

∴ -3n = -7

→ Divide both sides by -3

∵ [tex]\frac{-3n}{-3}[/tex] = [tex]\frac{-7}{-3}[/tex]

∴ n = [tex]\frac{7}{3}[/tex]

→ Substitute y by 6

∵ n (6) = 14

∴ 6n = 14

→ Divide both sides by 6

∵ [tex]\frac{6n}{6}[/tex] = [tex]\frac{14}{6}[/tex]

∴ n = [tex]\frac{7}{3}[/tex]

→ Both coordinates gave the same value of n

∴ The scale factor SF = [tex]\frac{7}{3}[/tex]

Answer: 13

Step-by-step explanation:  umm i dont know how to explanation

Answer:

0.38

hope it's helpful ❤❤❤

THANK YOU.

Answer:

We start with the equation:

A: 3*(x + 2) = 18

And we want to construct equation B:

B: X + 2 = 18

where I suppose that X is different than x.

Because in both equations the right side is the same thing, then the left side also should be the same thing, this means that:

3*(x + 2) = X + 2

Now we can isolate the variable x.

(x + 2) = (X + 2)/3

x = (X + 2)/3 - 2

Then we need to replace x by  (X + 2)/3 - 2 in equation A, and we will get equation B.

Let's do it:

A: 3*(x + 2) = 18

Now we can replace x by =  (X + 2)/3 - 2

3*( (X + 2)/3 - 2 + 2) = 18

3*(  (X + 2)/3 ) = 18

3*(X + 2)/3 = 18

(X + 2) = 18

Which is equation B.

Answer:

this is a required answer.

Answer:

See Below.

Step-by-step explanation:

We want to verify:

[tex]\cos(x-y)-\cos(x+y)=2\sin(x)\sin(y)[/tex]

We will utilize the following identities:

[tex]\cos(x-y)=\cos(x)\cos(y)+\sin(x)\sin(y)[/tex]

And:

[tex]\cos(x+y)=\cos(x)\cos(y)-\sin(x)\sin(y)[/tex]

So, by substitution, we acquire:

[tex](\cos(x)\cos(y)+\sin(x)\sin(y))-(\cos(x)\cos(y)-\sin(x)\sin(y))=2\sin(x)\sin(y)[/tex]

Distribute:

[tex]\cos(x)\cos(y)+\sin(x)\sin(y)-\cos(x)\cos(y)+\sin(x)\sin(y)=2\sin(x)\sin(y)[/tex]

The first and third term will cancel:

[tex]\sin(x)\sin(y)+\sin(x)\sin(y)=2\sin(x)\sin(y)[/tex]

Combine like terms:

[tex]2\sin(x)\sin(y)\stackrel{\checkmark}{=}2\sin(x)\sin(y)[/tex]

Answer:

22

Step-by-step explanation:

-1+4+9=12-34

Answer:

See explanation.

Step-by-step explanation:

The question requires you to determine the volume of both the box and the disc case then find how many of the disc cases can fit in to the box.

The volume of the box

V= l*w*h

V= 29 * 15 * 20 = 8700 cm³

The volume of the disc case

V=l*w*h

V=1.4 * 14.2*19.3

V=383.684 cm³

The number of disc cases that fit in the box will be;

8700/383.684

22.67

In this calculation, it is clear that 19 of these disc cases will definitely in the box because the box can accommodate 22 of these disc cases.

Answer:

1 1/3

Step-by-step explanation:

Answer:

4/3 (improper form) 1 1/3 (mixed form)

Step-by-step explanation:

Put the amount over whatever it's being divided amongst. In this case, you're dividing 4 cups by 3 pizzas. Fractions are actually just the top being divided by the bottom, so just think of it that way.

Answer:

(7^2+11)/5

=(49+11)/5

=60/5

=12

Answer:

Answer is 65

Step-by-step explanation:

Take 7 to the power of two and do 7x7 and whatever answer you get add it to 11 so do 49+11 and then whatever answer you get add it to 5, so 60+5

Hope that helps

Answer:

-2

Step-by-step explanation:

Answer:

The answer is: She doesn't understand why Martha wont cater to her ever whim

Step-by-step explanation:

I read the book :)

The answer is: "She doesn't understand why Martha won't cater to her every whim."

Step-by-step explanation:

I read the book and this is the obvious answer, plus I just took the test and got it right.

Answer:

The answer is B

Step-by-step explanation:

b.

$26.83

Answer:

12x

Step-by-step explanation:

You can add the like terms (which have x)

5x+7x=12x

Answer:

x > 1.00

Step-by-step explanation:

1.50 < 0.50x

Answer:

0.66666666667

Step-by-step explanation:

funny brainliest?

Answer:

50 cm

Step-by-step explanation:

So the first step is to find the height, and to do that you know that the area of a triangle is height * base / 2 =  area. Plugging in the numbers you have, you get:

[tex]height*48/2=336[/tex]

Then, this becomes

[tex]height * 24 = 336[/tex]

Divide both sides by 24

[tex]height = 14[/tex]

Now you can use the base and the height to find the hypotenuse using the Pythagorean Theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]48^{2} +14^{2} =c^{2} \\2304 + 196 = c^{2}\\2500 = c^2\\50 = c\\c = 50[/tex]

Therefore the length of the hypotenuse is 50 cm

Answer:

20 - 5x = 13.75

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

A) -30

Step-by-step explanation:

Answer:

dragon ball z sha la a sha la

Step-by-step explanation:

IT'S OVER 9000!!!!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

.

Answer:

y=-2x+7

Step-by-step explanation:

slope intercept form: y=mx+b

Slope formula: [tex]\frac{rise}{run}[/tex] or [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2}}[/tex]

You can pick any two equations. In this example, I chose the firsts 2.

(0,-7) and (1,-9)

Plug into the slope formula,

-9+7 over 1-0 which is -2/1 or -2

The m in y=mx+b is the slope, the equation above is the sloe formula meaning -2 is the slope. The b is the y, when it is at 0. The y at 0 for this equation is -7. Thus, when plugging in the equation, y=-2x-7

The domain is the x values given by the graphed line.

The line starts at -2 and ends at 2.

The domain is all the x values between and including -2 and 2.

Answer:

A

Step-by-step explanation:

the other answers are totally absurd.

Answer:

18

Step-by-step explanation:

Answer:

-190

Step-by-step explanation:

100+(-190)=-90

hope this is correct! c:

Answer:

-4 (x-4)

Step-by-step explanation:

simplify the expression

-4x + 16

Answer: 14

Step-by-step explanation:

9-(2-7)

9-(-5)

14

Answer:

22

Step-by-step explanation:

So the number of valentines made is going to equal the number of kids * the number of kids, so all you have to do is the square root of 484.

This is 22, because 22 * 22 = 484.

Answer:

22

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

LxWxH=V or BxH=V

L=8

W=1

H=12

8x1x12=96

Answer: 96in²

Step-by-step explanation: To find the volume, you multiply the Length, Width, and Height.

The formula is whl, which means W × H × L.

So, we'll multiply 8 by 1 by 12.

Step 1.

Multiply 8 by 1.

8 × 1 = 8

Step 2.

Multiply 8 by 12.

8 × 12 = 96

Hence, 96in² is the answer.

Answer:

288

Step-by-step explanation:

Since, the product of the HCF and LCM of two numbers is equal to the product of the two numbers.

Therefore,

The product of the two numbers

[tex] = HCF \times LCM \\ \\ = 12 \times 24 \\ \\ = 288[/tex]