A car is purchased for $30,000. The value of the car depreciates annually so that it is $24,000 after 1 year, $19,200 after 2 years, and $15,360 after 3 years. Why can this situation be modeled using an exponential function?
The value of the car depreciates annually by 20%.
The value of the car depreciates annually by 80%.
The value of the car depreciates annually by $6,000.
The value of the car depreciates annually by $4,800.

Answers

Answer 1

Answer:

It annually drops by 20%

Step-by-step explanation:

30,000 multiplied by 20% is 6000. Subtract 6000 from 30,000 and you get 24,000. 24,000 multiplied by 20% is 4,800. Subtract 4,800 from 24,000 and you get 19,200. Etc.


Related Questions

1.) Keisha's kitchen is shaped like a square. The room has an area of 256 feet squared. Which is the length of one side of Keisha's kitchen?

Also the attachment, and is it rational or irrational?

Answers

Answer:

1.  16 ft

[tex]\sf 2.\quad \dfrac{29}{99}[/tex]

Step-by-step explanation:

Question 1

Formula

Area of a square = s²  (where s is the side length)

Given:

Area = 256 ft²

Substitute the given area into the formula and solve for s:

[tex]\sf \implies 256=s^2[/tex]

[tex]\sf \implies \sqrt{256}=\sqrt{s^2}[/tex]

[tex]\sf \implies s=\pm 16[/tex]

As distance is positive, the length of one side of Keisha's kitchen is 16 ft.

Question 2

Converting a recurring decimal to a fraction

Let x equal the recurring decimal:

[tex]\implies \sf x=0.292929...[/tex]

Create another number with recurring 29s by multiplying the above by 100:

[tex]\implies \sf 100x=29.292929...[/tex]

To solve these two equations and write x as a fraction, subtract the first equation from the second to remove all the recurring digits after the decimal point:

[tex]\begin{array}{r r c l}& \sf 100x &= &\sf 29.292929...\\- & \sf x&=& \sf \phantom{..}0.292929...\\\cline{1-4} & \sf 99x&=& \sf29\\\cline{1-4}\end{array}[/tex]

Therefore:

[tex]\implies \sf 99x=29[/tex]

[tex]\implies \sf x=\dfrac{29}{99}[/tex]

Therefore:

[tex]\sf \implies 0.\overline{29}=\dfrac{29}{99}[/tex]

Learn more about converting recurring decimals to fractions here:

https://brainly.com/question/27788661

https://brainly.com/question/27643441

Choose the property that justifies the first step of simplifying the expression below.
3(-2x+5)
Property
Step
3.-2x+3.5

Answers

-2.5 is you’re answer use PEMDAS

this one is also for trustmeiamsmrt

Answers

Answer:

The thing is I don't know if like is will put fractions or decimals so I guess try both if u can if not I would go for decimals first because that is more probable.

Midpoint of some points

AB midpoint = -1,1.5

BC midpoint = -2.5,2

CA midpoint = -2.5,1.5

Midpoint of DE = -3,0

Midpoint of FG = 3,-1

Sorry that it took some time

Solve the system of equations: 2x + 5y = -1 and 3x - y = 7
A. х = 7, y=6
B. x = 2, y = -1
C. X = 2, y = 1
D. None of the above​

Answers

Answer:

B.) is correct answer .....

I think it is right..

I think it is right..Please make me brainliest..

Who was in Paris ???? ?
Who?

Answers

Answer:

N.ice I.ndividual G.iven G.ood A.spects S.eriously was in paris

Step-by-step explanation:

Answer:

the French

Step-by-step explanation:

What is m∠PTS? Enter your answer in the box.

Answers

Answer:

55

Step-by-step explanation:

m< PTS = m< RTQ since they are vertical angles

11(y-10) = 4y-5

Distribute

11y - 110 = 4y-5

Subtract 4y from each side

11y-110-4y = 4y-5-4y

7y-110 = -5

Add 110 to each side

7y-110+110 = -5+110

7t = 105

Divide by 7

7y/7 = 105/7

y =15

We want to find m<PTS

m< PTS = 11( y-10) = 11(15-10) = 11(5) = 55

the first stage in the rational decision-making process involves ______.

Answers

Answer:

Identifying the problem

How many liters of a 50% acid solution must be mixed with a 30% acid solution to get 180 L of a 40% acid solution?

Answers

Answer:

ninety liters

Step-by-step explanation:

Ninety liters of the 50% acid solution have to be mixed with 90 liters of the 30% solution to yield 180 liters of 40% solution.

which of the following pairs are twin prime a,3 and 5 ​

Answers

Answer:

3 and 5 are prime twin?

Huh?

The value of nCn - 1 + nCn - 2 is
(a) n/2
(b) n(n + 1)/2
(c) n(n-1)/2
(d) (n + 1)²/2​

Answers

Step-by-step explanation:

We have,

[tex]\displaystyle\sf{\,^{n}C_{n-1}+\,^{n}C_{n-2}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-(n-1))!}+\dfrac{n!}{(n-2)!(n-(n-2))!}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-n+1)!}+\dfrac{n!}{(n-2)!(n-n+2)!}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(1)!}+\dfrac{n!}{(n-2)!(2)!}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n(n-1)!}{(n-1)!(1)!}+\dfrac{n(n-1)(n-2)!}{(n-2)!(2)!}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n}{1}+\dfrac{n(n-1)}{2}}[/tex]

[tex]\displaystyle\sf{=n+\dfrac{n^2-n}{2}}[/tex]

[tex]\displaystyle\sf{=\dfrac{2n+n^2-n}{2}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n^2+n}{2}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n(n+1)}{2}}[/tex]

Using the combination formula, it is found that the value of the expression is given by:

(b) n(n + 1)/2

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

[tex]C_{n, n-1} = \frac{n!}{(n-1)!(n - n + 1)!} = \frac{n(n-1)!}{(n-1)!} = n[/tex]

[tex]C_{n, n-2} = \frac{n!}{(n-2)!(n - n + 2)!} = \frac{n(n-1)(n-2)!}{(n-2)!2!} = \frac{n(n-1)}{2}[/tex]

Then, adding these values:

[tex]n + \frac{n(n-1)}{2} = \frac{2n + n^2 - n}{2} = \frac{n(n + 1)}{2}[/tex]

Hence option b is correct.

More can be learned about the combination formula at https://brainly.com/question/25821700

mrs.price purchases 24 tickets for the students in her class. evaluate the expression t=24 please help I'm stuck and I don't know much​

Answers

Answer:

t(28-8)=      , (28-8)

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

just subtract whats in the parenthesis (28 - 8) and its 20

someone help me im trying not to fail this year-​

Answers

Answer:

x-y=-3

Step-by-step explanation:

Mia solved the equation 4x - 8 = 2(2x-4) and ended up with -8 = -8. what does this mean?
a) one solution
b) many solutions
c) no solutions
d) she did it wrong

Answers

Answer:

D

Step-by-step explanation:

She should have ended up with 4x-8= 4x-8

When you put everything on the proper side everything cancels out

Can someone help!!! I've been stuck on this for a while

Answers

???? I dont see any question, sorry

9 to the power 18 = 27 to the power x work out the value of x

Answers

Answer:

Step-by-step explanation:

27^x = 9÷(3^x)

So (3^3)^x = (3^2)÷(3^x)

So 3^3x = 3^(2-x)

Comparing powers on both sides,

3x = 2 - x

So, 4x = 2

So, x = 1/2

Given ( 27 ) ^ x = 9 / 3 ^x

⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x

⇒ ( 3 ³ )^x = 3² / 3^x

⇒  3 ^ 3x × 3^x = 3²            [ since  ( a ^m)^n = a ^mn ]

⇒ 3^ (3x +x) = 3²                [ since a^m × a^n = a ^m+n ]

⇒ 3^4x = 3²

⇒4x = 2                      [ since  If a ^m = a ^n then m = n ]

⇒ x = 2 / 4

 ∴ x = 1 / 2

I hope this helps you.

Multiply. 893 × 578 = 516,145 561,154 516,154 516,144

Answers

Answer:

516,154 here you goooooooooooi

Answer:

c) 516154

Step-by-step explanation:

Q) 893 × 578 = ?

→ 893 × 578

→ 516154 is the answer.



If Susie takes a test with 50
questions and gets of them
5
correct, how many questions did
she miss?

Answers

she would get 45 wrong
50 - 5 = 45
She missed 45, because there was 50 questions and she only got 5 correct 50-5=45

Look at the angle. Which description is true

Answers

This angle is greater than 90 degrees

Answer:

The angle is greater than 90 degrees, which is also known as an obtuse angle.

ratio x : y is 3: 1
Which of the following statements is correct?
A x 3/4 of y
B y is 1/3 of x
C x is 1/3 of y
D y is 1/4 of x

Answers

Answer:

D

Step-by-step explanation:

1+3=4

1 out of 4 =1/4

remember x is bigger than y

After two years, the ash tree grew 51 inches. How much does it grow each year? How tall is in in 5 years? Use the double number line to find your answer.

Answers

Answer: 25.5 inches per year, in 5 years it will be 127.5 inches.

Step-by-step explanation:

it grows 25.5 inches every year, so the math for this is 25.5 x 5

(5 representing the years) and you get an answer of 127.5in.

127.5 in 5 years and 25.5 per year

Helpppppp omggg I’m gonna fail

Answers

Answer:

D.

Step-by-step explanation:

I JUST NEED TO KNOW THE EXPRESSION I WILL GIVE BRAINLIESTJackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.

Answers

Answer:

y-0.22%=x+0.06%

Step-by-step explanation:

x+4:-x-4

What does x equal to?

Answers

Answer:

casa. Completa las oraciones con el pronombre de objeto directo correcto, según el contexto.

1. Tu ropa está sucia. ¿Por qué no ____ lavas?

2. Ellos tienen muchos libros. ____ tienen en la estantería del despacho.

3. La casa de mi mamá tiene muchas ventanas, pero no ______ abre todos los días.

4. Profesora, Ud. debe usar la cochera. ¿ ______ve allí?

5. ¿Quieres ir al cine con nosotros? _____ llamamos antes de salir.

What is the slope of the line that passes through the points (−10,0) and (-13, 3) ? Write your answer in simplest form.

Answers

Answer:

A slope of -1

Step-by-step explanation:

use the slope formula

Can someone help me do this

Answers

Answer:

71 degrees

Step-by-step explanation:

It is quite hard to see the question but I believe we are looking for the unknown angle E (correct me if I am wrong and I will revise my answer!)

Write the equation of the line that is parallel to y=-6x+2 and that has a y-intercept of 6

Answers

Parallel lines have the same slope. If the slope of the given equation is -6, then it means that the slope of the other line must also be -6.

Since we're also given the y-intercept value of b = 6, then we can establish the following linear equation of the line parallel to y = -6x + 2 as:


y = -6x + 6

what type of mathematical law is this a×m=m×a​

Answers

Answer:

Commutative Property

Step-by-step explanation:

1. The commutative property is a mathematical law that states that the order in which we multiply numbers does not change the product. Because a × m results in the same answer from multiply m × a​, it falls under this property.

please answer!! WILL GIVE A BRAINLIEST AND THANKS!

Answers

Answer:

2)  Lyn has 42, and Jo has 21

4)  320 women

6) 12 miles

Step-by-step explanation:

2) Divide 63 by 3 and get 21. 21 + 21 = 42 for Lyn, and leave 21 for Jo.

4) Subtract 20 from 620, and get 600. Divide 600 into 2 and get 300. 300 +20 = 320

6) Divide 24 into 2, and get 12. Multiply 12 by 3 and get 36. Divide 36 by 3 and get 12. 12 is your answer.

Hope this helps!

-kiniwih426

HELP DUE IN 10 MINUTES!!!!

Two step equations word problems

The perimeter of a rectangle is 34 units. Its width is 6.5 units.

1. Write an equation to determine the length (l) of the rectangle.

2. Find the length of the rectangle.

Answers

Answer:

10.5 units

Step-by-step explanation:

Given

Perimeter P = 34 unitsWidth w = 6.5 unitsLength l = ?

Equation, in terms of l:

2(l + 6.5) = 34l + 6.5 = 17l = 17 - 6.5l = 10.5

Answer:

Equation:6.5 + 6.5 + L +L =34

Answer: 10.5

Step-by-step explanation:

To find perimeter you need L+W+L+W. You have a width of 6.5. When you plug that into the equation you get 6.5 + 6.5+ L+L=34. Combine like terms (6.5 +6.5). That leaves you with 13 + 2L = 34. Now, you want to subtract 13 from both sides to isolate the L. You now have 2L = 21. Now you should divide everything by 2. 21/2 = 10.5

2. Ms. De Los Santos bought 5 3/7 gallons of ice cream for the 6th grade Wakanda Day celebration. If each scholar is served 1/16 gallon of ice cream, what is the greatest number of scholars that can be served?

Answers

So we convert both to improper fractions.
38/7 and 1/16
Now we make them the same denominator
608/112 and 7/112
Now we divide 608 by 7
Maximum amount which can be given is 85 scholars.
Give me brainliest answer!
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