A car has an initial value of 20,000 the value then depreciates or decreases by 10% of in initial value each year which equation below gives the value of the car

Answers

Answer 1

Given:

Initial value of car = 20,000

Depreciation or decreasing rate = 10% = 0.10

To find:

The equation that gives the value of the car.

Solution:

It is given that the value then depreciates or decreases by 10% of in initial value each year. It means the depreciation value is same for each year, i.e., 10% of initial value.

[tex]10%\text{ of }20000=\dfrac{10}{100}\times 20000[/tex]

[tex]10%\text{ of }20000=2000[/tex]

So, the value of car decreased by 2000 per year.

Let y be the value of can after x years.

Then, the value decreased in x years is 2000x.

So, the values of the car is

[tex]y=20000-2000x[/tex]

Therefore, the required equation is [tex]y=20000-2000x[/tex].


Related Questions

pls help me, i’ll give brainliest

Answers

Answer:

10 $ a year

Step-by-step explanation:

Answer:

16 dollars

Step-by-step explanation:

earned in first 6 years: 100 dollars

100/6 is roughly 16 dollars

hope this helps! :)

pls help me i need to finish this assignment​

Answers

i hope this helps good luck! :)

9514 1404 393

Answer:

  19) x = number of people; y = cost

  20) (people, cost) = (15, 120) and (25, 200)

  21) the rate of change is $8 per person

  22) y = 8x

  23) $320

Step-by-step explanation:

19) The problem statement tells you x is the number of people and y is the cost.

__

20) Writing the pairs (people, cost), we have ...

  (15, 120) and (25, 200)

__

21) The rate of change can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (200 -120)/(25 -15) = 80/10 = 8

The rate of change is $8 per person.

__

22) In point-slope form, the rule is ...

  y -y1 = m(x -x1)

  y -120 = 8(x -15)

  y = 8x -120 +120

  y = 8x

__

23) For x=40, y = 8(40) = 320

A party for 40 people will cost $320.

Estimate the turning point of the graph y=x^3+x^2-6x

Answers

Answer:

X=0,X= -3,X=2

Step-by-step explanation:

y=x^3+x^2-6x

0=x^3+x^2-6x

x^3+x^2-6x=0

x ×(x^2+x-6)=0

x ×(x^2+3x-2x-6)=0

x ×(xx(x+3)-2(X+3))=0

x ×(x+3)x(x-2)=0

x=0

x+3=0

x-2=0

x=0

x= -3

x=2

sana nakatulong

Write [tex]\sqrt[3]{x^{2} y^{2} }[/tex] using fractional exponents.

Answers

Answer:

[tex]x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x^{2}y^{2}} = (x^{2}y^{2})^{\frac{1}{3}}\\\\\\[/tex]

          = [tex]=(x^2)^{\frac{1}{3}}y(^{2})^{\frac{1}{3}}\\\\\\= x^{2*{\frac{1}{3}}}y^{2*{\frac{1}{3}}}\\\\=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?

Answers

Answer:

Work shown below;

Step-by-step explanation:

Factor by grouping:

[tex]x^{3}+5 x^{2}-6x-30\\(x^{3}+5 x^{2}) (-6x-30)\\x^{2} (x+5)-6(x+5)\\(x^{2}-6 )(x+5)[/tex]

x - 2y < 2
graph the inequality

Answers

Answer:

y > 1/2x - 1

First, draw the dashed line y = 1/2x - 1 (slope intercept ; y = mx + b).

Start at -1 on the y-axis, and continue going 2 units to the right, and 1 unit up for the right side of the graph.

Then starting at -1 on the y-axis, continue going 2 units to the left, and 1 unit down for the left side of the graph.

Explanation:

Convert standard form (Ax + By = C) by isolating y from the rest of the equation.

Ax + By = C → y = -Ax/B + C/B → y = mx + b.

Given a standard form equation in inequality form,

x - 2y < 2.

Set it to slope-intercept as an inequality to find the slope and y-intercept.

When negating (making opposite) a variable, you flip the inequality.

x - 2y < 2 → x - 2y - x < 2 - x → -2y < -x + 2 → 2y > x - 2 → y > 1/2x - 1.

Determine the constant rate of change for each table.
1. Age (yr) Height (in.)

Answers

9514 1404 393

Answer:

2 3/4

Step-by-step explanation:

The rate of change in each case can be found by dividing right-column differences by left-column differences.

Table 1

  (56 -54)/(10 -9) = 2/1 = 2 . . . the constant rate of change

__

Table 2

  (3 -0)/(4 -0) = 3/4 . . . the constant rate of change

_____

Additional comment

Often, in math problems of this sort, you fill in a blank with a number. Above, we have computed those numbers. In real life, it is useful to consider the units that go with that number. The units are divided in the same way the numerical values are.

Table 1: 2 in/yr

Table 2: 3/4 °C/h

Solve the equation 11x + 16y = 13 for y.

The solution is y = ?
.

Answers

Answer:

y=13/16 minus 11x/16

I hope this helps :-)

Simplify the expression

Answers

Answer:

          f(x) = 5x² + 2x           g(x) = 6x - 6

Step-by-step explanation:

[tex]\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6[/tex]

What role did monasteries play in the spread of Christianity? Choose three correct answers.

They put emperors such as Charlemagne in power.
They forced people to practice Christianity.
They helped feed people who lived in poverty.
They imprisoned non-Catholics.
They cared for sick villagers.
They educated people.


I Need Help Fast!!

Answers

Answer:

They educated people. They cared for sick villagers. They helped feed people who lived in poverty.

Step-by-step explanation:

I just got it correct.

Hope this helps! ^^

Sorry that I probably didn't help you in time!

The roles monasteries play in the spread of Christianity :- They educated people. They cared for sick villagers. They helped feed people who lived in poverty.

What are monasteries?

A monastery was a building, or buildings, where people lived and worshiped, devoting their time and life to God.

The people who lived in the monastery were called monks. The monastery was self-contained, meaning everything the monks needed was provided by the monastery community.

The role monasteries play in the spread of Christianity :-

They helped feed people who lived in poverty.

They cared for sick villagers.

They educated people.

Most powerful force that helped spread Christianity were missionaries. Monks were the men who lived in the monasteries. There Christian men called monks devoted their lives to God. He made the pope the guardian of the spiritual lives of all Christians.

Learn more about monasteries click;

https://brainly.com/question/29570884

#SPJ3

Tom have 47 quaters his dad gave him 14 how many top have in all

Answers

Answer:

61 or 33

Step-by-step explanation:

47+14=61 or 47-14 =33

Answer:

I can help

Step-by-step explanation:

Quarters in help is 61 but in money its $16. Hope this helps.

Games with this rating contain content which the ESRB believes is generally suitable for those age 10 and older
Question 3 options:

A T Teen

B eC Early Childhood

C M Mature

D E10+Everyone

Answers

Answer:

D. Everyone 10+

Step-by-step explanation:

This is the most popular age group when it comes to age ratings. For example, Mario Kart is an Everyone 10+ game.

D E10+Everyone would be the answer

I need help I'm dumb ​

Answers

Answer:

this is easy just place the value of x in the formula

Step-by-step explanation:

1) y=-2x-5 this wpuld equal y=-2(-6)-5

i am going to do one and you do the rest

y= -2(-6)-5

y= (12)-5

y= -60

Now i got 12 positive because is we look at the rule os signs -+-=+

so -2(-6)= 12

and the pharentesis= multiplication

first to answer correctly gets brainleist! I need ya to find the slope for me!

Answers

Answer:

m=-1

Step-by-step explanation:

The line is going down as x increases, so the slope is negative. Next, we can find the value for m by taking the equation:

m=(y2-y1)/(x2-x1)

m=(3-(-1))/(0-4)

m=4/-4

m=-1

evaluate the Expression when n= -4

[tex] {n}^{2} + 6n + 9[/tex]

Answers

Answer:

1

Step-by-step explanation:

(- 4)² + 6(- 4) + 9 = 16 - 24 + 9 = 1

the answer is one

16 + (-24) + 9 = 1

If I pay $600 in interest for my simple interest loan for $10,000 at an
interest rate of 3%, how long did I have the loan for?

Answers

Answer:

2 periods

Step-by-step explanation:

Simple interest is compounded one time, usually annually, although it could be less time or longer. Thus I answer 2 periods. If your choices include 2 years, that is most likely the answer.

To find the answer,

$10,000 x .03 = $300.

$600 / $300 = 2 periods.

Hope this helps.

Good luck

Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form. 33.2 × 21 ≈ _______ × _______ = _______ Show your estimation and area model on your paper. Then solve using the standard algorithm. What is the answer?

Answers

Answer:

Step-by-step explanation:

Using the area model and standard algorithm, we have:

                332   (tenths)

          ×       21  

                332

             664    

             6972   tenths = 697.2

              30      +      3      tenths

     1       300           32         332

    20     600           64         664

33.2 × 21 =    30     ×    1      =        30    

Ivian scores 58 out of 80 marks in a maths test what is his score as a percentage

Answers

Answer:

72.5%

Step-by-step explanation:

Lets make his score a percentage: 58/80

Now covert it to a percentage: 58/80 = x/100

Cross multiply: 80x = 5800, x = 145/2

Divide 145 by 2: 72 1/2

Answer is 72.5%

I hope this helped, please mark Brainliest, thank you!

A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?

Answers

Answer:

medium

Step-by-step explanation:

Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps  

Answer:

medium!! {a p e x :))}

------------------------

Step-by-step explanation:

small: 160/225=0.71*100=71 shirts

medium: 335/375=0.893*100=89 shirts

large: 275/325=0.846153*100=85 shirts

x-large: 125/175=0.714285*100=71 shirts

based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts

Ben drove 230 kilometers in 3 hours, and Pia drove 250 kilometers in 3 hours. Without making any calculations, who drove faster?

Answers

Pia because she traveled 250 km in 3 hours which is 20 more km than Ben in the same amount of time

Answer:

Pia drove faster than Ben, because they drove for the same amount of time, but Pia traveled farther. Pia drove 20 more kilometers than Ben, but she and Ben drove for the same amount of time.

Step-by-step explanation:

(-4/3)x -6 =26

solve for x

Answers

Answer:x =24

Step-by-step explanation: If we reverse that we will get x= 32x3/4 which is 24

Answer:

x = -24

Step-by-step explanation:

(-4/3)x -6 =26

Add 6 to both sides:

(-4/3)x = 32

(-4/3) = -1.33333333

divide both sides by -1.33333333

x = -24

Substitute:

(-4/3)(-24) -6 =26

32 - 6 = 26

26 = 26

x = -24

Express in the form n:1 ratio
16:8

Answers

Answer: 2:1

To get 1 on the right, you divide by 8, so you do the same thing on the left.

16/8:8/8
2:1

HELP! 10 POINTS!!!!!!!

Answers

Answer: Graph A

Step-by-step explanation:

SLOPE : rise over run, so from any point, if 3 units go up, 4 units go right, and there should be a another point

Y-INTERCEPT : -3

What is the place value of the 5 in the number 1.458?
tenths
thousandths
ones
hundredths

Answers

Answer:

Step-by-step explanation:

1.458

The 5 is in the hundredths place

Write the EXPLICT equation for the arithmetic sequence below:
11, 9, 7, 5, 3.

Answers

Answer:

-2

you take two away every time

Selectall the values that are correctly represented in scientific notation.3.26×1053.26×10043.26×10−632.6 ×103

Answers

the 3rd one would be correct

Someone help me out plz....

Answers

Answer:

G

Step-by-step explanation:

Rise 4 go over 5

Answer:

G has the slope of 4/5

Step-by-step explanation:

Hope this helps :)

Solve for x. PLZZZzzzz

Answers

Answer:

Actually,there x is qual to ninty minus x because of vertically opposite side...cauce ninty minus x comes in vertical opposite side by dragging the ninty minus x down ...so finally x is equalto ninty minus x and two x is equal to nintynow divide ninty by nine it's your ans.

Can someone help PLEASEE???

Answers

Answer:

44%

Step-by-step explanation:

There are a total of 25 tiles. 11 of them are shaded. To solve this divide 11/25*100. This equals 44%.

Determine if each graph represents a function explain your reasoning. Please do 9 and 10 :)

Answers

Answer:

9is an irrationalnfunction which would be 0=y^2+x^2 while 10 is y=-x^2+3

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