Josiah bought a new car for $25,000. He did some research and found that the value of his car would depreciate at an average rate of $3,750 per year. The table shows data about the value of his car over the next 4 years.


Number of Years Owned 1 2 3 4

Car Value $ 25000 21250 13750 10000


Express the relation as a set of ordered pairs.


Identify the domain and range of this relation.


Is this relation a function?

Answers

Answer 1

The domain is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is {25000, 21250, 13750, 10000}. The ordered pairs of this function are (1, 25000), (2, 21250), (3, 13750), (4, 10000).

The relation described above can be expressed as a set of ordered pairs by calculating the value of the car for each year based on the depreciation rate. Let's calculate the value of the car for each year:

Year 1: 25000

Year 2: 25000 - 3,750

= 21250

Year 3: 21250 - 3,750

= 13750

Year 4: 13750 - 3,750

= 10000

Therefore, the ordered pairs of this relation are

: (1, 25000), (2, 21250), (3, 13750), (4, 10000).

The domain of this relation is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is

{25000, 21250, 13750, 10000}.

This relation is a function because each input (year) is associated with one output (value).

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Related Questions

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Quetion
Suppoe a plane flie 48 mile in 12 minute. The relationhip between mile flown, x, and minute flown, y, by the plane can repreented by the equation y = 14x. How far will the plane fly in 28 minute?
Repone
A 120 mile120 mile
B 116 mile116 mile
C 112 mile112 mile
D 124 mile

Answers

The plane will fly 392 miles in 28 minutes. Therefore, the answer is D) 124 miles.

What is the relationship between distance and time?

The important thing is that speed is always the ratio of the distance traveled to the time needed to travel that distance: distance/time.

To find out how far the plane will fly in 28 minutes, we need to substitute x = 28 into the equation y = 14x.

y = 14x represents the relationship between the distance flown (y) and time flown (x).

Substituting x = 28 into the equation:

y = 14 * 28 = 392

Hence, the plane will fly 392 miles in 28 minutes.

Therefore, the answer is D) 124 miles.

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what is the coefficient for x in 8+ x/2 ​

Answers

Answer: x= 8+ x over 2 = x over 2 + 8

Step-by-step explanation:

4. Given the function g(x) = 3x - 5, find the value of g(2).​

Answers

Answer:

g(2)=1

Step-by-step explanation:

g(x)=3x-5

Putting the value of x in the equation.

g(2)=3(2)-5

g(2)=6-5

g(2)=1.

Work out 37% of 4618.57
Give your answer to 1 decimal place.

Answers

Answer:

37/100(4618.57)

170887.09/100

1708.9

The solution of the given expression is 1708.9.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The given expression is as below,

37% of 4618.57

It can be simplified as follows,

37% of 4618.57

= 37/100 × 4618.57

= 1708.87

It can be approximated as 1708.9.

Hence, the given expression can be worked out up to one decimal place as 1708.9.

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How do you find the missing side of a triangle?

Answers

The missing sides of the triangle can be found by applying the Pythagoras Theorem .

What is Pythagoras Theorem ?

The Pythagoras Theorem states that square of  hypotnuse (that is longest side) is equal to sum of the square of perpendicular and base .

that means : [tex]Hypotnuse^{2} = Perpendicular^{2} +Base^{2}[/tex]  ;

let missing side of the Right triangle be hypotnuse ;

So , missing side is written as : [tex]Hypotnuse = \sqrt{Perpendicular^{2} +Base^{2}}[/tex] .

For Example : Let a right triangle has sides lengths of perpendicular = 6 and hypotnuse = 10 .

let , the length of side "base" be unknown.

So ,  in order to find length of side b  (base) , we substitute the  known values into Pythagoras theorem:

[tex]10^{2} =6^{2} +Base^{2}[/tex] ;

[tex]Base = 100-36[/tex] ;

So , missing side "base" is = 8 ;

Therefore , the missing side can be found by using  the Pythagoras Theorem .

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What 3 numbers make a right triangle?

Answers

Answer:

A right triangle equals to 90 degress, and has 2 equal angles.

Example: 20 degress, 20 degrees and 50 degress could make a right triangle.

I hope this helps you!

can someone help me with this I'll give a crown thing please hurry!​

Answers

Answer:

1) 1: 107

  2: 73

  3: 107

  4: 73

  5: 107

  6: 73

  7: 107

  8: 73

3) 1: 128

  2: 52

  3: 128

  4: 52

  5: 128

  6: 52

  7: 128

  8: 52

Step-by-step explanation:

Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal). Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.

*PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST*

Write an expression equivalent to 3n2 + 12n that is a product of two expressions.
Enter numbers, variables, or expressions in the boxes.

Answers

Answer:

3n(n + 4) = 0

n = 0, -4

Step-by-step explanation:

3n(n + 4) = 0

3n = 0

n = 0

n + 4 = 0

n = -4

Answer:

Step-by-step explanation:

3n2 + 12n factors into (3n)(n + 4n).

Please does anyone know the answer to c & d

Answers

Answer:

c = 8^5

d = 7^2

Step-by-step explanation:

Answer:

c) =8^5

d) =7^2

Step-by-step explanation:

i hope this helps :)

I Don't know how to do this, please help me!! :( number 19

Answers

All angles of a triangles equal to 180, 180 degrees minus 28 and 103= the missing angle, 49!

Answer:

Step-by-step explanation:

#19. m∠JML = 126°

#20. [tex]P_{JKLM}[/tex] = 50 units

what are the nouns in this sentence?

Answers

Answer:

A noun is most commonly taught a person, place, or thing and sometimes idea. In this sentence, it would be Magazine, Americans, and carbohydrates. And if smith is also part of the sentence, he is a person, so its also a noun. :) Happy learning friend

Please help, I’ll give brainliest UwU

Answers

Answer:

uwu your answer is c because jake did not like lily during the performance.

Step-by-step explanation:

Answer:

The UWU answer UwU is UwU C UwU owa owa

Write the equation of the line that passes through the point (-9, 5) and is parallel to the line y = -1/3x - 4.

Answers

Answer:

i just found the link ill post it under your question hold up

Step-by-step explanation:

A scooter shop is offering a 30% discount on all of its scooters. Shirley buys a scooter that had an original price of $840. What was the discounted price of the scooter?

Answers

Answer:

$588

Step-by-step explanation:

Original price = $840

Discount = 30%

Discounted price is:

$840 - 30% of $840 =$840*0.7 = $588

What is the degree of the polynomial √ 3?

Answers

The degree of the polynomial √3 is 1.

What is polynomial?

Polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication and non-negative integer exponents of variables. Polynomials are often used to solve problems in algebra, geometry, calculus and other branches of mathematics.

A polynomial is an expression made up of variables, constants, and exponents.

A polynomial is said to have a degree when the highest degree of any of its terms is known.

The degree of a polynomial is determined by the highest exponent of a given term. In the case of √3, the exponent is 1, making the degree 1.

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One angle of a triangle measures 45°. The other two angles are in a ratio of 7:20. What are the measures of those two angles?

Answers

Answer:

35° and 100°

Step-by-step explanation:

The total angle of a triangle = 180°
The total angle of two angles = 180° - 45° = 135°
One part of the ratio = 135° : (20 + 7) = 5°
The smaller angle = 5° x 7  = 35°
The bigger angle = 5° x 20 = 100°

Answer:

35° and 100°

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180°

the ratio of 2 angles is 7 : 20 = 7x : 20x ( x is a multiplier )

equate the sum to the 3 angles to 180 and solve for x

45 + 7x + 20x = 180

45 + 27x = 180 ( subtract 45 from both sides )

27x = 135 ( divide both sides by 27 )

x = 5

Then

7x = 7 × 5 = 35

20x = 20 × 5 = 100

the measure of the 2 angles is 35° and 100°

5 3/4 as a fraction greater then one

Answers

Answer:

23/4

Step-by-step explanation:

 

Answer: yes

Step-by-step explanation:

A regular square pyramid has base edge b, height h, and slant height l. Three expressions give the surface area, A, of this pyramid. Which expression does NOT?

Answers

Answer:

1/3 . Abase . height

Step-by-step explanation:

Please find attached the complete question

a square pyramid is a pyramid that has a square base.

total surface area measures the total area of the surfaces of an object

the formula 1/3 x Area of the base x height is used to calculate the volume of the pyramid and not the surface area

Need help I’m not sure how to answer it will give 30 points

Answers

Y = 540 is the answer

Which equation represents a linear function?
y – 2 = –5(x – 2)
x + 7 = –4(x + 8)
y – 3 = y(x + 4)
y + 9 = x(x – 1)

Answers

Correct Answer: y-2= -5(x-2)

Can the sine ratio of an acute angle be greater than 1?

Answers

No, the sine ratio of an acute angle cannot be greater than 1.

What is an acute angle?

Each angle in an acute triangle must be less than 90 degrees. A triangle is not an acute triangle even if one of its angles is 90 degrees. Because all angles (60°) are less than 90°, an equilateral triangle, for instance, is always sharp.

Here,

We have to determine whether the sine ratio of an acute angle can be greater than 1 or not.

We concluded that the value of the Sine ratio will always be between zero and one.

The Sine ratio is related to one of the acute angles of a right triangle such that the sine of the acute angle is the ratio of the side opposite the specific acute angle (the reference angle) to the hypotenuse.

Hence, the sine ratio of an acute angle cannot be greater than 1.

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2) Jenny has a water tank that needs to be
filled up. The water tank can hold 500 gallons
of water. She adds 20 gallons of water every
hour. How many hours does it take for Jenny
to be able to fill up the tank?

Answers

It will take 25 hours for Jenny to fill up the tank.

To solve this problem, we divide the capacity of the tank by the rate at which it is being filled:

500 gallons / 20 gallons/hour = <<500/20=25>>25 hours

Is
233
in the sequence below?
2
,
5
,
8
,
11
,
14
,
.
.
.

Answers

Answer:

.

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.

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Dylan opened a credit card account with $575.00 of available credit. Now that he has made some purchases, Dylan's account only has $465.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?

Answers

Answer:

19%

Step-by-step explanation:

First, we have to find how much did he spend by taking

$575.00 - $465.75 = $109.25

Then we find the percentage decrease by taking

109.25 divided by 575, then times 100% = 19%

So,  the percentage decrease of the amount of available credit in Dylan's account is 19%

Solve for x in the triangle. Round your answer to the nearest tenth.
6
X
69°
X

Answers

hello i am just need points so sorry you didnt get answer

what is the answer for -40= -50 + x ?

Answers

Answer:10

Step-by-step explanation: Because negative 40 equals -50 + x equals 10

A glass is 2/3 full. Then 40cm^3 of orange juice is poured in. The glass is now 4/5 full What is the total volume of the glass?

Answers

Answer:

The total volume of the glass is 300 cm^3.

Step-by-step explanation:

Let V represent the total glass volume.

Then (4/5)V - (2/3)V = 40 cm^3.  The LCD here is 15, so we rewrite this equation as

(12/15)V - (10/15)V = 40 cm^3, or

(2/15)V = 40 cm^3.

Solve for V by multiplying both sides of this equation by (15/2):

(15/2)(2/15)V = (15/2)(40  = 300 cm^3

The total volume of the glass is 300 cm^3.

Please help
VX is a midsegment of UWY
IF UY=13p-1 and VX=20p-95 what is UY

Answers

The length UY of the triangle is 90 units

How to determine the length UY

From the question, we have the following parameters that can be used in our computation:

VX is a midsegment of triangle UWYUY = 13p - 1 and VX = 20p - 95

This means that

UY = 2 * VX

Substitute the known values in the above equation, so, we have the following representation

13p - 1 = 2 * (20p - 95)

Evaluate the products

13p - 1 = 40p - 190

So, we have

40p - 13p = 190 - 1

So, we have

27p = 189

Divide by 27

p = 7

Substitute p = 7 in UY = 13p - 1

UY = 13 * 7 - 1

So, we have

UY = 90

Hence, the length is 90 units

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You select a marble from a bag of yellow and green marbles and put it back. You record how many yellow marbles are selected in two attempts. The graph shows the theoretical probability distribution.
Which could be the contents of the bag?

A. 2 yellow, 2 green
B. 2 yellow, 4 green
C. 3 yellow, 2 green
D. 2 yellow, 3 green

Answers

The there is 3 yellow, 2 greens marble in the bag because there is less probability of 0 yellow, number of yellow should be higher than number of greens option (C) is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have a graph shows the theoretical probability distribution.

As you select a marble from a bag of yellow and green marbles and put it back. You record how many yellow marbles are selected in two attempts.

Since, there is less probability of 0 yellow, number of yellow should be higher than number of greens.

Thus, the there is 3 yellow, 2 greens marble in the bag because there is less probability of 0 yellow, number of yellow should be higher than number of greens option (C) is correct.

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Shelley drew a scale drawing of a neighborhood park. The volleyball court, which is 8 meters wide in real life, is 4 millimeters wide in the drawing. What is the scale factor of the drawing?

Simplify your answer and write it as a fraction.
I need IXL answer's PLEASE

Answers

The scale factor of the drawing of the neighborhood park would be = 2000.

What is a scale factor?

The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).

The width of the neighborhood park. in real life = 8 meters

To convert 8 meters to millimetres is to multiply by 1000

= 8 × 1000 = 8000 mm

The scale factor = 4 × X = 8000

make X the subject of formula;

X = 8000/4

X = 2000.

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