The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

f(x) = 85(1 – 0.25)x
f(x) = 85(1 + 0.25)x
f(x) = 85(0.25)x
f(x) = (85 – 0.25)x

Answers

Answer 1

9514 1404 393

Answer:

  (a)  f(x) = 85(1 – 0.25)^x

Step-by-step explanation:

The growth rate is -25%, so the growth factor is 1-25% = 1 - 0.25.

Each increase in the number of previous owners causes the value to be multiplied by this growth factor, so the overall multiplier is (1 -0.25)^x

The value is the initial value times this multiplier:

  f(x) = 85(1 -0.25)^x . . . . matches the first choice

Answer 2

The function that represents the situation is f(x) = 85 (1 - 0.25)ˣ

What is exponential decay?

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Let's call the resale value of the textbook after x owners as f(x). We know that the resale value decreases by 25% with each previous owner. This means that after the first owner, the resale value will be 75% of the original value.

After the second owner, it will be 75% of 75% (or 56.25%) of the original value.

Similarly, after the third owner, it will be 75% of 75% of 75% (or 42.1875%) of the original value, and so on.

Using this information, we can write the function f(x) as:

f(x) = 85 (0.75)ˣ

f(x) = 85(1 - 0.25)ˣ

where 85 is the original value of the textbook (when x = 0), and (0.75)ˣ represents the percentage of the original value after x owners.

Therefore, the function that represents the resale value of the textbook after x owners is described as f(x) = 85 (0.75)ˣ.

To learn more about the exponential decay;

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Related Questions

the perimeter of the figure.
15 ft
10 ft
Drawing not to scale
A.25ft
B.60ft
C.50ft
D.150ft

Answers

Answer:

C. 50ft

Step-by-step explanation:

Perimeter is the outside and in perimeter you add

The length is 15ft

The width is 10ft

There are 4 sides so you want to add the length and width 2 times

L = 15 + 15 = 30

W = 10 + 10 = 20

Then add it all together

30 + 20 = 50

Hope this helps dude

Which of the following DOES NOT equal 8%?

A.)0.08
B.)0.08
C.)8/100
D.)8.0%
E.)8.0%
F.)2/25
G.)4/5

Answers

Answer:

g

Step-by-step explanation:

8/100 is the same as 0.08 and 8,0% doesn't change and 2/25 is 8% as 1/25 is 4 so 2 would be 8 and it is g as 4/5 is 80%

PLEASE MAY I HAVE BRAINLIEST

What is 1 + 1? EXPLAIN WHY IN ORDER TO GET BRAINILIEST!

A) 100
B) 21
C) 2
4) CHICKEN WING

Answers

Answer: C)2

Step-by-step explanation:

BECAUSE IT IS YASS BESTIEEEEE

Answer:

1 + 1 = 2 because this is literally the first thing you get taught when in kindergarten math.

take one finger, and then another finger, and it makes two fingers :)

Rewrite y+3=−(x−5) in standard form .

Answers

Answer:

x + y = 2

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y + 3 = - (x - 5) ← distribute

y + 3 = - x + 5 ( subtract 3 from both sides )

y = - x + 2 ( add x to both sides )

x + y = 2 ← in standard form

Help!!!
Could u pls answer this questions it will be really helpful

Answers

Answer:

9a)   6 miles

9b)  12:20

Step-by-step explanation:

for first question, use the distance formula:  distance = rate · time

d = 2 x 3

d = 6 miles

for second question, she began walking home at 11:05 and it took 1 hour, 15 minutes (15 minutes is 1/4 of 60 minutes)

11:05 + 1 hour = 12:05

12:05 + 15 minutes = 12:20

Convert 625 to Scientific notation

Answers

Answer:

6.25 x 10^2

Step-by-step explain:

625 could be 6.25 and you move the decimal 2 times to the right.

The scientific notation is 6.25 x 10^2

WILL GIVE BRAINLIEST!!

Which transformation was applied to triangle A?
A. Dilation
B. Reflection
C. Rotation
D. Translation

Answers

Answer:

Dilation

Step-by-step explanation:

it got larger and didnt move

I need help on this please!!!!! It's for homework that's due today at midnight. Please show work.​

Answers

Answer:

Exact Form: 91/30, Decimal Form: 3.03 (repeating 3), Mixed Number Form: 3 1/30

Step-by-step explanation:

Convert the mixed numbers to improper fractions. Then, you find the LCD (Least Common Denominator) and combine/simplify.

Searches related to As part of a promotion, a local ice cream store is giving away free ice cream cones to the first 20 customers After that, ice cream cones cost $3.00 Is the store's profit proportional to the number of customers? Explain.

Answers

Answer:

Yes, store's profit is proportional to number of customers

Step-by-step explanation:

Yes, the profit is proportional to the number of customers.

Profit = Revenue - Cost = (Price x Quantity) -  Cost

Profit = (0 x 20) + (3 x q) - c(20+q) : Where q refers to quantity beyond 20, & c is average cost per unit

Profit = 3q - 20c - cq = (3 - c)q + 20c

As 20c is constant, component of equation has coefficient 'q' which stands for quantity of sales ie number of customers

What is the solution set of the quadratic inequality x^2-5<_0

Answers

Answer:

b

Step-by-step explanation:

edg

Answer:

B

Step-by-step explanation:

right on edge 2021

what's b ? plz help ​

Answers

58 i think

58*2+64=180

What is the solution to this system of equations?
o 14. - 1/2)
0 (4,-
Ono solution
infinitely many solutions

Answers

Answer:

one solution

Step-by-step explanation:

Given the equations

1/4x + 1 1/2y =5/8 ..... 1

3/4x - 1 1/2y =3 3/8 ..... 2

Get the value of x

Add both equations

1/4x + 3/4x = 5/8+3 3/8

4x/4 = 5/8+27/8

x = 32/8

x= 4

Substitute x = 4 into equation 1

From 1;

1/4x + 1 1/2y =5/8 .

1/4(4) + 3/2 y = 5/8

1 + 3/2 y = 5/8

3/2 y = 5/8 - 1

3/2 y = -3/8

Cross multiply

24y = -6

y = -6/24

y = -1/4

Hence the solution {x,y) is (4, -1/4)

The system has only one solution

Please I needddd helppp is it correct or do I need to change something

Answers

Your correct they are in the right spots

Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(

Answers

Y= 20 then because x=5 and 5 times 3 is 15 plus 5 is 20 :) so 20 is the answer good luck
Y=20, look at picture for work

Noah is solving an equation, and one of his moves is unacceptable. Here are the moves he made.

Which answer best explains why the “divide each side by step” is unacceptable?

a. When you divide both sides of 2x = 6x by X you get 2x² = 6x²

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

c. When you divide both sides of 2x = 6x by x you get 2 = 6x.

d. When you divide both sides of 2x = 6x by x it could lead us to think that there is no solution while, in fact, the solution is x = 3

Answers

Answer:

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Step-by-step explanation:

The solution is correct up to the step 2x = 6x

2x = 6x

Subtract 2x from both sides.

0 = 4x

Divide both sides by 4.

x = 0

You cannot divide both sides by x since x could be zero, and in fact, it is.

Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

The correct option is (b) When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

2(x + 6) - 4 = 8 + 6x

After simplifying the above linear equation in one variable:

2x = 6x

The correct steps are:

6x - 2x = 0

4x = 0

x = 0

When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Thus, the statement best explains that “divide each side by step” is unacceptable" is When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Learn more about the linear equation here:

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gas is 2.09 per gallon if nate filled up his car and spent 33.44 how many gallons did he put in his car

Answers

33.44/2.09 = 16
He puts 16 gallons

Answer:

16 gallons

Step-by-step explanation:

33.44 divided by 2.09 is 16, so he put 16 gallons in his car.

please help.............

Answers

9515 1404 393

Answer:

  (d)  Reflexive Property of ≅; SSS

Step-by-step explanation:

There are no angles involved in the proof, so the SAS claims do not apply.

__

The symmetric property says ...

  if A ≅ B, then B ≅ A

The reflexive property says ...

  A ≅ A

In this case, the reflexive property is the one being invoked in the statement ...

  AC ≅ AC

That, together with the claims of line 3 concludes the claim that all three sides are congruent to their corresponding counterparts. Hence the SSS postulate applies.

A box of 15 cookies costs $9. How much does 10 cookies cost?

Answers

$6

Step-by-step explanation:

divide 15 divided by 3 = 5

divide $9 by 3 = $3

2/3 of 15 is 10

$3+$3=6$

Answer:

5,6, or 7

Step-by-step explanation:

if there are options

hippidy hoppidy b***hes are property

whats the answer????????????

Answers

Answer: B. 9

Step-by-step explanation:

3^4 / 3^2

When dividing deomenators, it is the same as subtracting the exponents.

3^4 / 3^2 is the same as 3^2 or 3 * 3 which is 9


Find the equation of the line
PLEASE HELP

Answers

Y=-3x+7..................

Answer:

y = -3x +7

Step-by-step explanation:

The equation for a line is: y = mx + b

m = slope

x = the x-value

y = the y-value

b = the y-intercept

Since the y-intercept is 7, we know the first part of the equation is: y = mx +7

Also, since the line is decreasing from right to left, m is going to be negative. A way to calculate the m is rise/run. Count how many blocks it is going horizontally (run)and how many blocks it is increasing/decreasing when going to the right (rise). Then divided the "rise" over "run". Another way is to choose two points. Now use the equation y1-y2/x1-x2,

or  y2-y1/x2-x1. I am going to show using the equation.

My two points are (0,7) and (2,1)

change in y (rise):7-1 = 6

change in x (run): 0-2 = -2

6/-2 = -3. Your slope is -3. Now lets put it all together.

y = -3x +7

You can see that for every square moved to the right ONCE the y value is decreasing by 3 each time.

HELP
Which BEST describes the system of equations graphed on the coordinate plane?

Answers

I think it’s B! Inconsistent

what is the equation of a line parallel to y=4/5x+2 that passes through 1,2

Answers

Answer:

4/5x+6/5

Step-by-step explanation:

not sure but i have my ways with equations lol

IF YOU ACTUALLY HELP I WILL GIVE BRAINLY!!

Answers

Answer:

B: (2, -1)

Step-by-step explanation:

6. The measures of two angles are (4x + 19) and (7x -29)°. What is the value of x if
these angles are congruent?

Answers

Answer:

The value of x is 16

Step-by-step explanation:

Given two angles are:

(4x + 19) and (7x -29)°

Two angles being congruent means that their numerical values will be equal

Putting both expressions equal

[tex]4x+19 = 7x-29[/tex]

Subtracting 7x from both sides

[tex]4x+19-7x = 7x-29-7x\\-3x+19 = -29[/tex]

subtracting 19 from both sides

[tex]-3x+19-19 = -29-19\\-3x = -48[/tex]

Dividing both sides by -3

[tex]\frac{-3x}{-3} = \frac{-48}{-3}\\x = 16[/tex]

Hence,

The value of x is 16

y varies directly with x. If x= 2 and y = 10 what is y if x = 4
Type your answer...

Answers

Answer:

y=20

Step-by-step explanation:

2x:10y  So for every x you have 5y

4x:20y

Answer:

y=20

Step-by-step explanation:

Hope this helped have an amazing day!

Jonathan is building a fence for his chickens. The length of a rectangle is
equal to triple the width. The perimeter(P=2L+2W) is 72 centimeters. What
is the width of the fence?

Answers

Answer:

Width = 9

Step-by-step explanation:

(P=2L+2W) = 72

L = 3W<- length is triple the width

(P = 2(3W) + 2W) = 72

P = 8W =72

W = 9

solve for x: 3(x+1)=-2(x-1)-4

Answers

Answer:

3x + 1 = f

Step-by-step explanation:

Answer:

x=(-1)

Step-by-step explanation:

3(x+1)=-2(x-1)-4

3x+3=-2x+2-4

3x+3=-2x-2

5x=-5

(2y + 14.6m + 3.8) – (34.8m + 15.6 + 2y)

Answers

Answer:

-20.2m - 11.8

Step-by-step explanation:

Can someone tell me which are non linear and which are linear for these three ? Ill give brainliest asap

Answers

Answer:

The y-value sequence on 1  linear. The x-value sequence on 1 is also linear.

The y- value sequence on 2 is linear. The x-value sequence on 2 is also linear.

The y-value sequence on 3 is linear. However I now think you are referring to the domain and range also linear graphs and non linear graphs, maybe I've confused you.

Step-by-step explanation:

So the difference between an exponential function and a linear function is whether it is arithmetic sequence or geometric sequence or just another sequence.

arithmetic is if the numbers are added by the common difference.

geometric is if the numbers are multiplied by the common ratio.                                                      

If x= −5, which equation is true?
a] 2x−4= −14
b] 3(4−x)=3
c] 2(x−4)= −14
d] 3(10−x)=21

Answers

The answer is A] 2x -4 = -14

2(-5) -4 = -14
-10 -4 = -14
-14 = -14
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