Write the equation of the line that passes through the points (7,-9) and (2,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Given:

Original cost of car = $21000

Rate of depreciation = 15% = 0.15

Time = 5 years

To find:

The value of car after 5 years.

Solution:

Consider the model for car depreciation is

[tex]V=C(1-r)^t[/tex]

where,  C is the original cost, V is the value of the car after t years, and r is the rate  of depreciation.

Substitute C=21000, r=0.15 and t=5 in the above model.

[tex]V=21000(1-0.15)^5[/tex]

[tex]V=21000(0.85)^5[/tex]

[tex]V=21000(0.4437)[/tex]

[tex]V=9317.7[/tex]

[tex]V\approx 9318[/tex]

The value of car after 5 years is $9318. Therefore, the correct option is C.

Answer:

x=4, y=-1

Step-by-step explanation:

x=3y +7. equation 1

3x+4y=8. equation 2

substitute equation 1 into equation 2

3 (3y +7)+4y =8

9y+21+4y=8

13y+ 21=8

13y=8-21

y=-13/13

y=-1

substitute the value of y into equation 1

x=3(-1)+7

x=-3+7

x=4

Answer:

-10x+7.5

Step-by-step explanation:

Answer:

m∠D = 14

Step-by-step explanation:

According to the vertical angle theorem, both of these angles are congruent.

This means that they are equal (m∠C = m∠D) and we can solve for x:

m∠C = m∠D

-x + 26 = 2x - 10 (substitute in the equations)

-3x + 26 = -10 (subtract 2x from both sides)

-3x = -36 (subtract 26 from both sides)

x = 12 (divide both sides by -3)

Now that we know what x is, we can find m∠D by plugging it back into the equation:

m∠D = 2x - 10

m∠D = 2(12) - 10 (substitute the value for x in)

m∠D = 24 - 10

m∠D = 14

The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Angle C and angle D are vertical angles with m∠C = -x + 26 and m∠D = 2x - 10.

∠C = ∠D

-x + 26 = 2x - 10

3x = 36

x = 12

Then the measure of the angle D will be

m∠D = 2x - 10

m∠D = 2(12) - 10

m∠D = 24 - 10

m∠D = 14°

The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.

More about the angled link is given below.

https://brainly.com/question/15767203

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Answer:

The quotient of 3/5 and 2/3 is 9/10

Explanation:

3/5 divided by 2/3 is 9/10

Or a easier way to divide fractions is this way:

3/5 divided by 2/3 = ?

Flip the second fraction (from 2/3 to 3/2)

And then multiply:

3/5 x 3/2 = 9/10

(Simplify if needed but in this problem there is no need to simplify)

Answer:

half of the area

Step-by-step explanation:

i am not sure

Answer:

b

Step-by-step explanation

Answer:

m= -1

Step-by-step explanation:

A graph that is y=x or y = -x should be easy to spot, but (0,2) and (2,0) make a -x line.

Answer:

by multiplying the same number twice

Step-by-step explanation:

example :

1 × 1 = 1

2×2 = 4

3×3 = 9

and so on....

Answer:

it is 32

Step-by-step explanation:

15 divided by 3 is 5 and if you are trying to find the second triangles sides you would subtract 5 from 12 to get 5 and 2. then you would multiply all the sides by 3 and add them together to get 32.

Answer:

[tex]x=\frac{1}{6}[/tex] or [tex]x=1.6667[/tex]

Step-by-step explanation:

All you have to do is divide both sides by 3. When dividing decimals it's sometimes easier to change it to a fractions like so: [tex]x=\frac{1}{2} /\frac{3}{1}[/tex] to divide fractions you multiply the reciprocal like this: [tex]x=\frac{1}{2} * \frac{1}{3}[/tex] to get [tex]x=\frac{1}{6}[/tex]

Answer:

The correct answer is D) sin(2x) = sin(x)cos(x)+sin(x)cos(x)

Step-by-step explanation:

Right answer on Edge

The step 2 will be;

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The steps are;

Step 1; sin (2x) = sin (x + x)

Step 3; sin (2x) = 2 sin (x) cos (x)

Now,

Since, The steps of the solution are;

Step 1; sin (2x) = sin (x + x)

Step 3; sin (2x) = 2 sin (x) cos (x)

Hence, We get;

All the steps as;

⇒ sin (2x) = sin (x + x)

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

⇒ sin (2x) = 2 sin (x) cos (x)

Thus, The expression for step 2;

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

Learn more about the mathematical expression visit:

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Answer:

CE=108

Step-by-step explanation:

*I don't have my phone with me so I can't add a picture of what I drew*

First, draw a line. On one end, write C. On the other end, write E. In the middle of them, write D. The question states that CE=6x, so on the bottom of the line, write 6x. On top on the first half write 4x+8 (between C and D). On the other half between D and E write 28.

According the the information we have been given and the diagram we made, CD+DE=CE. Hence, (4x+8)+28=6x

(4x+8)+28=6x (subtract four from both sides)

8+28=6x-4x (combine like terms)

36=2x (divide two from both sides)

x=18

Now, substitute 18 for x in 6x (CE=6x)

CE=6(18)

CE=108

I hope this helped :DD

Answer:

.4

Step-by-step explanation:

Answer:

.0003, .04, .02, 2 4

Step-by-step explanation:

hope it helps

1 ug = 0,001 mg

0,0002 ug= x

x= (0,0002×0,001)/1

x= 2e-7

Answer:

4x+7=3x+7

Step-by-step explanation:

4x+(7-7)=3x+(7-7)

4x=3x

Answer: 2

Step-by-step explanation: She have to keep change flip

Answer/Step-by-step explanation:

If total income is more than total expenses, she should rent it. If the total income is less than the total expenses, she should not rent it.

Total income estimated in a month:

Sales: $950 per week = 950*4weeks = $3,800 per month

Services: $2,875 per month

Total estimated income per month = $(3,800 + 2,875) = $6,675

Total expenses estimated in a month:

Rent: $4,500 per month

Travel: $7.5 per day = 7.5*7days = $52.5 per week.

Assuming there are 4 weeks in a month, expenses for travel in a month will be:

$52.5*4 = $210

Merchandise: $1,650 per month

Total expenses estimated per month = $(4,500 + 210 + 1,650) = $6,360

Total estimated income ( > total estimated expenses in a month, therefore, Stefan should rent the phone accessory store. She will make profit.

Answer:

B= 36

Step-by-step explanation

I reported the other answers and they got deleted this is the right answer

Answer:

It is 13 21/32 hope this helps

Answer:

.05

Step-by-step explanation:

Answer:

8208 Rs

Step-by-step explanation:

Rs: 10260

Profit 20%

10260 * 0.20 * 100% = 2052 Rs

10260 Rs - 2052 Rs = cost of product to be produced

CP: Rs 10260

Profit: 20%

Solution: 20% off 10260 is equal to (20 x 20) / 100 = 2052. So if you buy an item at $10260 with 20% discounts, you will pay $8208 and get 2052 cashback rewards

Answer:

a

Step-by-step explanation:

Answer:

A. (17,11)

I just did the quiz on edgen.uity

The rate of change is -7, because the standard equation is y = mx + b, where m is the slope and b is the y intercept. Here, m is what is attached to x, which is -7, s0 -7 is the slope.

Answer:

x=3

Step-by-step explanation:

Answer:

8x^2 - 40x + 25

Step-by-step explanation:

The terms that show a difference of squares are given by:

10y² - 4x²

16y² - x²

It is when the square of two terms are subtracted, in the following format:

[tex]a^2 - b^2[/tex]

In this problem, the first two items are difference of squares, as:

[tex]10y^2 - 4x^2 = (\sqrt{10}y)^2 - (2x)^2[/tex]

[tex]16y^2 - x^2 = (4y)^2 - x^2[/tex]

More can be learned about difference of squares at https://brainly.com/question/24673551

Answer:

-2

Step-by-step explanation:

Opening bracket,

6x+15 +4=7

6x=7-19    (I took 15 and 4 to other side and thus they became negative)          

x=-12/6

x=-2

Pls mark me brainliest

Answer:

The answer is x = -2

Step-by-step explanation:

FOIL

3*2x + 3*5 + 4 = 7

6x + 15 + 4 = 7

6x + 19 = 7

Subtract 19 from both sides.

6x =  -12

Divide both by 6.

x = -2

Answer:

C

Step-by-step explanation:

(C) 12.5 if u need any help ask me.

Answer:

[tex]x = 112.5....... \: i.e \: option \: b.[/tex]

Step-by-step explanation:

[tex]first \: you \: need \: to \: write \: the \: statement \: \\ as \: a \: mathematical\: \: expession \: i.e : \\ if \: y \: \alpha \: x \\ y \: = kx \\ k = \frac{y}{x} \\ when \: y \: = 12.5 \: and \: x \: = \: 37.5 \: then : \\ k = \frac{12.5}{37.5} \\ \\ x = \frac{y}{k} = \frac{y}{ \frac{12.5}{37.5} } = \frac{y}{1} \div \frac{12.5}{37.5} = \frac{y}{1} \times \frac{37.5}{12.5} \\ \\ x = \frac{37.5y}{12.5} \\ \\ when \: y = 37.5 \: x \: will \: be : \\ x = \frac{37.5 \times 37.5}{12.5} = 112.5[/tex]

Answer:

3 cups

Step-by-step explanation: