Select the correct answer. BRAINLLEST

An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table.


Time (years) 0 1 2 3

Value (dollars) 20,000 18,000 16,200 14,580


Which statement is true?


A.

The situation can be modeled by an exponential decay function with a percent change of -10%.

B.

The situation can be modeled by an exponential growth function with a percent change of 11%.

C.

The situation can be modeled by an exponential decay function with a percent change of -11%.

D.

The situation can be modeled by an exponential growth function with a percent change of 10%.

Answers

Answer 1
The correct answer is A
Answer 2

The situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The ratio between the value after 1 year and the value after 0 years is 18,000/20,000 = 0.9.

The ratio between the value after 2 years and the value after 1 year is 16,200/18,000 = 0.9.

The ratio between the value after 3 years and the value after 2 years is 14,580/16,200 = 0.9.

Since the ratio between consecutive values is constant and less than 1, we can conclude that the situation can be modeled by an exponential decay function.

r = (18,000/20,000) - 1 = -0.1

So the percent change per year is -10%, which means that statement A is true.

Hence, the situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.

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Related Questions

how to solve 9x-5-(-6x) ​

Answers

Answer: 3x-5

Step-by-step explanation:

9x-5(-6x)

9x-5-6x

3x-5

Answer:

15x - 5

Step-by-step explanation:

We have the equation 9x - 5 - (-6x) and are asked to solve it.

We cannot combine 9x and 5 because they have a variable difference, with 9 having x as its variable and 5 having no variable. What we can do is distribute the minus sign to the right of 5 to (-6x), lets do as said :

9x - 5 - (-6x)

Two negatives make a positive, therefore :

9x - 5 + 6x

Since 9x and 6x have the same variable ending, we can combine them, do as followed :

9x - 5 + 6x

9x + 6x

15x - 5

Which equation represents a function?

Answers

Answer:

C represents a function

The figure shows five polygons: ABCDE, FGHIJ
, KLMNO, PQRST, and UVWXY.
Polygon
cannot be mapped onto the others by similarity transformations.

Answers

Answer:

PQRST

Step-by-step explanation:

This one cannot be be mapped by similarity transformations as its dimensions/proportions don't match those of the others.

Answer:

PQRST

Step-by-step explanation:



Leo is constructing a tangent line from point Q to circle P. What is his next step?



Mark the point of intersection S of the segment created from the arcs and circle R, and construct line RS.

Mark the point of intersection S of circles R and P, and construct line QS.

Construct arcs from point Q that are greater than half the length of segment PQ.

Construct a circle from point P that has a radius of P and the intersection of circles P and R.

Answers

Answer:

hello your question has a missing diagram attached below is the missing diagram

answer :  

Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )

Step-by-step explanation:

when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between  the given circles and then construct a line through it

Answer:

Mark the point of intersection S of circles R and P, and construct line QS.

Step-by-step explanation:

This is correct because after you create circle R that intersects circle p, you're supposed to mark the intersection points.  If your in FLVS, it would be in lesson 7.04.  I also got this right on my test.  Good luck!

Please help fast how to find missing numbers

Answers

 Answer:                    

Step-by-step explanation:

PLEASE PLEASE PLEASEEE HELP I DONT UNDERSTAND

Answers

Answer:

29.5 times pi or 3.14

Step-by-step explanation:

Use the distributive property with factoring to find the equivalent expression. 24n + 32w = (3n + w)

Answers

Answer:

Step-by-step explanation:

24n + 32w = (3n + w)

We're asked to use distributive property, this means that we have to find a way that the given expression on the left hand side is equal to the given incomplete exresssion on the right hand side. In so doing, we're fulfilling the distributive property tag.

Given 3n, 3 factorises 24 into 8, and at the same time, factorises 32 into 4. Thus, we can then conclude that

24n + 32w = 8(3n + 4w)

resuelve la inecuación

(3x<15)

Answers

Answer:

x<5

Step-by-step explanation:

(3x<15)

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

x<15/3

Divide 15 by 3 to get 5.

x<5

P - 24 = 13 step explanation

Answers

Answer:

p = 37

Step-by-step explanation:

The most important step in beginning algebra is to get all the letters on one side and and all the numbers on the other. In This case it is only all the numbers that need to be transferred.

p - 24 + 24 = 13 + 24

p = 37

Factor the expression completely.
15x2 - 40x-15

Answers

Answer:

630

Step-by-step explanation:

15×2=30

40×(-15)=-600

30-(-600)=630

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Answers

Answer: 4 black marbles, 3 blue, 2 green, and one red.

Step-by-step explanation:

Artem drives 12.6 miles in 12 minutes.
He passes a sign which gives the speed limit as 50 mph.
By how much, in mph, did Artem's average speed exceed the speed limit?

Answers

Answer:

18 mph

Step-by-step explanation:

12.6 × 5 =68.0. 68 - 50 = 18

this is for math n i dont get it, help pls :,)

Answers

Answer:

Ella ran 7.5 meters in 5 seconds

Step-by-step explanation:

d=1.5t

d=1.5(5)

d=7.5

find the area of the figure. use 3.14 for pi

Answers

Answer:

100

Step-by-step explanation:

14-12=2

10-6=4

4x2=8

divid it by 2 cos itza triangl

8/2=4

the smallr square

4x4=16

biggr square

10x8=80

4+16+80=100

Answer:

answer =100 ft²

Step-by-step explanation:

......hope it helps

In the equation y = -x + 7 what is the value of m

Answers

m=slope
y=mx+b
m=-1
I am adding more text to be able to submit this

Show work please! Herald is keeping track of eagles. To do so, he put tags on 25 eagles and released them.
Later, he catches 120 eagles; 16 eagles were tagged. Find the best estimate for the Eagle
population?

Answers

Answer:

188

Step-by-step explanation:

16/120=0.133

0.133 times 100=13.3%

this means 25 eagles is only 13.3% of the population

therefore 25/0.13=188

Gilbert purchased a car for 34000. The car depreciates at a rate of 14% per year. The exponential function that represents this situation is y = 34000(0.86)^x.

What is the change factor for this function?

Answers

Answer:

.86

Step-by-step explanation:

Exponential function formula

[tex]y = a ( 1 + or - r ) ^t[/tex]

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

Arrange the following
numbers in order from least
to greatest.
96,432; 94,632; 96,342

Answers

Answer:

94,96,96,342,432,632

Step-by-step explanation:

Least to greatest

The parabola is swached vertically by a factor of 5.

Answers

Answer:

answer below

Step-by-step explanation:

I think you mean "squashed" or "stretched" vertically by a factor of 5.

f(x) is the original parabola equation

g(x) = 5f(x) is vertically stretched by a factor of 5

(x,y) -> (x , 5y)

Before a renovation, a movie theater had 145 seats. After the renovation, the theater has 178 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.

Answers

Answer:

Use https://www.bartleby.com/  it has helped me out a lot . Its actual tutors/teachers who answer your questions in about 30 minutes !!!!!!!!

Step-by-step explanation:

HELP PLZ ILL MAKE BRAINLIEST AND GIVE ALOT OF POINTS-

Answers

Answer:

d = - [tex]\frac{9}{13}[/tex]

Step-by-step explanation:

Given

13d + 8 = - 1 ( subtract 8 from both sides )

13d = - 9 ( divide both sides by 13 )

d = - [tex]\frac{9}{13}[/tex]

Answer:

d = -9/13

Step-by-step explanation:

Given ,

13d + 8 = -1

=> 13d = -1 - 8

=> 13d = -9

[tex] = > d = \frac{ - 9}{13} [/tex]

Hence,

The value of d = -9/13 (Ans)

Write the log equation as an exponential equation. You do not need to solve for x.
log(x+2) (4x) = 3x + 2

Please answer ASAP

Answers

Answer:

Step-by-step explanation:

(2x) (4x)= 8x = 3x+2

i think but i dont know if this is an exponential equation

Determine the period of the following graph.

Answers

Answer:

Step-by-step explanation:

period = 3π

2/3 - 3/2y + 1/3y + 4 = 0​

Answers

Answer:

y = 4

Step-by-step explanation:

(2/3 + 4) + (-3/2y + 1/3y) = 0

(-3/2y + 1/3y) = -4 2/3

-9/6y + 2/6y = -14/3

-7/6y = -14/3

cross-multiply:

-21y = -84

y = 4

Answer:

y = 4

Step-by-step explanation:

Please use parentheses for clarity, remembering what big differences they make in expression values.

I will assume that your "2/3 - 3/2y + 1/3y + 4 = 0​" actually means

2/3 - (3/2)y + (1/3)y + 4 = 0​

The LCD here is 6, which is the product of the denominators 2 and 3.

Then your "2/3 - 3/2y + 1/3y + 4 = 0​" becomes:

                     4  - 9y    + 2y + 24 = 0, which simplifies to:

                     28 - 7y = 0.  Solving this, we get y = 4

In the diagram, x is a negative number. and it is closer to zero than y.y is a positive number. which expression must be negative

Answers

Answer:

you already click the answer

Step-by-step explanation:

please help convert the improper fractions to mixed numbers ​

Answers

Answer:

1. 1 1/4

2. 2 1/2

3. 2 2/5

4. 1 1/5

5. 4 1/3

anyone know the answer?

Answers

i want to say it’s the second one

help me pls T^T this is due today

Answers

Answer:

8.

a. 6x + 1.6 = 58
-1.6 -1.6

6x = 56.4


b. 6x = 56.4

6x/6 = 56.4/6

x = 9.4

Step by step explanation:

I only understood 8 sorry:(

Help how do I solve for x and y when they are they on the same corresponding side

Answers

Answer:

y = 33.94 mm

x = 19.80 mm

Step-by-step explanation:

Because AC = CB, then ∠ABC = 45°

cos ∠ABC = 24/y

cos 45° = 0.7071 = 24/y

y = 33.94 mm

EF/BC = x/y

14/24 = x/33.94

24x = 475.16

x = 19.80 mm

PLZ HELP ME I WILL MARK BRAINLIEST
The survey results of the towns favorite holiday were displayed in a newspaper as described

37% of people enjoy Fourth of July
28% of people enjoy New Years Eve
42% of people enjoy Memorial Day
5% of people enjoy all three
12 % of people enjoy New Years Eve and Memorial Day
18 % of people enjoy Fourth of July and New Years Eve
13% of people enjoy Memorial Day only
What percentage of people enjoy New Years Eve only?

Answers

Answer:

28%

Step-by-step explanation:

Also,

Written in the sentence only that,

28% of people enjoy New Years Eve

Of 2nd Option.

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