Zachary purchased a new car for $29,995. The value of the car linearly depreciated to $9,300 over 10 years. Write a linear equation to represent the value y of Zachary's car (in dollars) after x years since its purchase.

Answers

Answer 1

Answer:

Step-by-step explanation:

y=-1,869.5x+27,995

Step-by-step explanation:

Let

x-----> the time in years

y----> value of Zachary’s car in dollars

A(0,27,995), B(10,9,300)

step 1

Calculate the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{9,300-27,995}{10-0}=-1,869.50

step 2

Find the equation of the line

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-1,869.50

b=27,995  -----> the y-intercept is the point A

substitute

y=-1,869.5x+27,995

hope this helps have a good day


Related Questions

Module One Project Option 1 It is time to get the fish food ready for the marine life rescue missions. Over the last month, Penny's class has collected fish food in a variety of boxes. In order to ship the food, you are going to help Penny and her classmates. They are going to pack the small cubes of fish food into shipping boxes that are large right rectangular prisms. Shipping Box Fish Food 1 ft ft ft 0 ft 3 ft 3 / 4 Instructions:​

Answers

Answer:

well we know the fish food 1/4 x1/4 x 1/4 = 1/64 because 4x4x4 equals 64 and denominator stays the same and the shipping boxes is simplify 3 3/4x = 15/4 and 3 becomes 3/1 and 3 1/4 becomes 13/4 and multiply 585/16

Step-by-step explanation:

Mathew goes to the movies over the weekend
with four of his friends. The total bill for the
tickets and snacks came out to be $92.50. If they
all decided to split the bill evenly, how much
money did each person pay?
I need help

Answers

Answer:

23.125$

Step-by-step explanation:

you have to divide the total amount of money by the total amount of people 92.50$/4=23.125$

Answer: $18.50

Explanation: You have to divide the $92.50 by the 5 people.

PLEASE HELP!! a ring is each a dollar and 4 for 4 dollars. if i decide to buy 10. how much would that cost me?

Answers

It will cost you $10. Please give me brainliest if you found this helpful :)

Find the value of x when 6 - 2x = 5x - 9x + 20.

Answers

Hey! Answer to this is x = 7

Answer:

X = 7

Step-by-step explanation:

6-2x = 5x-9x+20

Combine like terms

6-2x = -4x+20

Isolate x

2x = 14

Divide by 2

x = 7

Can you please help me!

Answers

Answer:

< 2 and < 6

< 3 and < 7

>> Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.

A is the point (5,7) and B is the point (-1,-5) find an equation of the line through A that is perpendicular to the line segment AB, giving your answer in the form ax+by+c = 0 where a b and c are integers

Answers

Answer:

Step-by-step explanation:

Someone help I can’t get my brain to function correctly

Answers

84= 28×3

28=4×7

4= 2×2

600= 50× 12

50= 25x2 12=3x4

25=5x5 4=2x2

hope it will hepl :)

what is 1.5 as a ratio​

Answers

Answer:  3/2

Step-by-step explanation:

Solve the equation below for y in terms of x.

(Slope Intercept Form, y = mx + b)

2y - 3x = 7

Answers


y=3/2x + 7/2
OR
y=3/2x + 3.5

first, write the equation: 2y-3x=7
When solving for y, you want to get the y by itself on one side of the equation. Start by adding 3x to both sides. it should look like:
2y = 3x + 7
Next, divide both sides by 2 to get the y by itself. now you have:
y= 3/2x + 7/2
there you have it!! however, if you want the y intercept (7/2) in decimal form, then it’s:
y=3/2x + 3.5
hope this helped!

Label each statement as TRUE or FALSE.
13. When two planes intersect, two lines are formed.
14. If two lines intersect, only one plane contains both of the lines.
15. Any three points are collinear.
16. Any three points are coplanar.
17. The intersection of two planes is a point.
18. An angle consists of two different rays with different endpoints.
16. Any three points are coplanar.
17. The intersection of two planes is a point.
18. An angle consists of two different rays with different endpoin-

Answers

Answer:

True

True

False

True

False

False

False

True

False

Step-by-step explanation:

The members of a town council decide to spend 3/20 of their budget on new playground equipment. They also decide to spend 1/15 of the budget on road repairs. How much more of the budget will be spent on playground equipment?

Answers

Answer:

It MAY be 1/30

Step-by-step explanation:

3х - у = 13
у = 2х - 7

Answers

Answer:

y=3x-13

Step-by-step explanation:

where do u get the 2?

Answer:

x=6 y=5

Step-by-step explanation:

use substitution because they y variable is already in the correct form for substitution

if 7x+5=2x+9 then what is x?

Answers

Step-by-step explanation:

gegydebdjsixhebxuhdbdxhurhdf

Answer NUMBER 6?!!?!

Answers

Well, I would take a guess and say 11 because 9 + the 2 other decimal points = 11 im not sure if that's correct if its not... please correct me

Hope this helps :)

Your friends are eating at the
same restaurant, and their bill
adds up to $45. They leave a $9
tip for their server. What
percentage of the bill was the
server's tip? Explain your
reasoning.

Answers

Answer:

20% tip

Step-by-step explanation:

Uhh well my reasoning is, 9 divided by 45.

Answer:

→ 20% tip

Step-by-step explanation:

because , : 9 is 20% of 45

from Percentage Method :

» 45 × 20/100 = 45 × 1/5 = 9

thank you!! Please show your work!​

Answers

Answer:

C: 1 1/5 miles per hour

Step-by-step explanation:

if you travel 3/5 miles in 1/2 of an hour then you multiply 1/2 and 3/5 by 2 to get how much you traveled in an hour which you get 1 1/5

(5, -3) move it seven units to the left amd one unit up. Please help-

Answers

Answer:

That would be -2, -2

Step-by-step explanation:

This is because if you go left or right it changes the x in (x,y). And when you move up or down it changes the y. So 5 seven units to the left is like 5 - 7 which is -2. And one unit up from -3 is -3 + 1 which is -2. Then you get your answer which is (-2,-2)

Which point of intersection is the solution to the equations y = 2/5x-1/2 and y = -1/3x + 2/3?
A. A
B. B
C. C
D. D

Answers

The answer is B because it is the only one where the line intersects on the y - axis at -1/2 and 2/3, which are the y -intercepts

the area of a square plot is 529 m² . What is the length of each side of the plot?​

Answers

Answer: 279,841 cm2

Step-by-step explanation: 279,841 cm2

Rind the square rout for 526

19) 7x - 8(-x+7)=-16+ 7x


Can someone help me solve this problem and also tell me what type of problem this is ?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

x = 5

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]7x - 8(-x+7)=-16+7\\\--------------\\\rightarrow7x +8x - 56 =-16 + 7x\\\\\rightarrow 15x -56 = 7x - 16\\\\\rightarrow 15x - 7x - 56 = 7x - 7x - 16\\\\\rightarrow 8x - 56 =-16\\\\\rightarrow 8x - 56 + 56 = -16 + 56\\\\\rightarrow 8x = 40\\\\\rightarrow\frac{8x=40}{8}\\\\\rightarrow \boxed{x = 5}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Which expression is equivalent to 10x + 7 - 3x?

a. 7x + 7
b. -7x =7
c. 4x + 7
d. 3x - 7

Answers

Answer:

7x+7

Step-by-step explanation:

10x + 7 - 3x

Combine like terms

10x-3x   +7

7x+7

Step-by-step explanation:

10x + 7 - 3x

= 10x - 3x + 7

= 7x + 7

[tex] \small{\colorbox{black}{\purple{\boxed{\pink{ \sf\:✨ \small{ḀṆṠẇḕṙ \: ḃẏ}✨{ \small{\gray{\boxed{\orange{\: \tt \: - ꆰꍟꈤ꒒ - \:}}}}}}}} }}[/tex]

please help me......​

Answers

Answer:

38 ft^2

Step-by-step explanation:

you can change the model into two different shapes. one can be

4 by 2

the other will be

3 by 10

you find the produnt of these equations. in this case, its 8 and 30.

8 + 30 = 38.

Answer:

38 sq. ft.

Step-by-step explanation:

10 x 3 = 30 sq. ft.

4 x 2 = 8 sqft.

30 + 8 = 38 sq ft.

a recipe calls for 2 cups of flour and 4 cups of water. How much water is needed if the recipe is expanded and 10 cups of flour are used?

Answers

Answer:

4 cups of water

Step-by-step explanation:

all they asked was how many cups were used and they said four

The quotient of the two values in a ratio relationship is called the _____ of the ratio.

Answers

Answer:

What is VALUE

Step-by-step explanation:

Plz I need help will rate 5 stars

Answers

Answer:

The answer is :

8

.......

whats the next number
2, 4, 12, 44, 172, ____​

Answers

Answer:

6798

Step-by-step explanation:

you multiply the number

Solve for x... please help

Answers

Answer:

[tex]{ \rm{(2x + 156) = (4x + 192)}} \\ { \tt \{alternate \: angles \}} \\ \\ { \rm{4x - 2x = 156 - 192}} \\ \\ { \rm{2x = - 36}} \\ \\ \dashrightarrow \: { \rm{x = - 18}}[/tex]

[tex]\\ \sf\longmapsto 2x+156=4x+192[/tex]

[tex]\\ \sf\longmapsto 2x-4x=192-156[/tex]

[tex]\\ \sf\longmapsto -2x=36[/tex]

[tex]\\ \sf\longmapsto x=-18[/tex]

A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.

Three of the sides will require fencing and the fourth wall already exists.

If the farmer has 152 feet of fencing, what are the dimensions of the region with the largest area?

Answers

Answer:

where is the figure?? thanks

Please solve the math problem... I will mark you brainliest

Answers

Answer: XYZ = HGJ by the ASA postulate


What is the slope of the linear function

Answers

Answer: 3/4 because the line runs through the points (0,-2) and (4,1).

rise/run

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