1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vodka [1.7K]
3 years ago
9

2.)The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function repr

esents 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
Mathematics
2 answers:
ANEK [815]3 years ago
6 0

Since they value of the book is decaying, we are going to adapt the standard exponential decay function to solve this.

Exponential decay function: f(x)=a(1-b)^x

where

f(x) is the final amount remaining after x years of decay

a is the initial amount

b is the decay rate in decimal form

x is the time in years

Now, let's adapt the equation to suit our needs

Since the value of the book is decaying with the number of owners and not with time, we are going to let x be the number of previous owners instead of time. So now f(x) will represent the final cost of the book after x owners, and a will be the initial cost of the book.

Exponential decay function: f(x)=a(1-b)^x

where

f(x) is the final cost of the book after x owners

a is the initial cost of the book

b is the decay rate in decimal form

x is the number of previous owners

Now, we know from our problem that the initial cost of the book is $85, so a=85. We also know that the resale value of a textbook decreases by 25% with each previous owner; to convert the decay rate (25%) to decimal form, we are going to divide it by 100%:

b=\frac{25}{100}

b=0.25

We have everything we need so let's replace the values in our exponential decay equation:

f(x)=a(1-b)^x

f(x)=85(1-0.25)^x

We can conclude that the correct answer is A) f(x) = 85(1 – 0.25)^x

harina [27]3 years ago
5 0
Given that the original value is $85, therefore at x = 1, f(x) = $85. It is given that the price decreases by 25% with each previous owner. This means that at the 2nd owner, the value is 75% of $85, which is $63.75. Finding an equation (from the choices) which fits these parameters, the answer is f(x) =85(1-.025)^x (or A).
You might be interested in
Harriet Cutter’s gross pay for this week is $555. She is single and claims 1 allowances. What amount will be withheld from Harri
Vlada [557]

Answer:

85 dollars will be withheld with a 7.65% income tax because she is only making 1,110 dollars.

Step-by-step explanation:

7 0
3 years ago
Help me answer pls :)<br><br><br> what is the value of y when x=43
Leona [35]

Answer:

87

Step-by-step explanation:

f(x) = 2x+1

6 0
3 years ago
What is the value of the 5 in 0.750
Anni [7]
It is in the hundrethds place

4 0
3 years ago
Please help!!! Number 8 please
Verdich [7]

Answer:

21.43 mph

Step-by-step explanation:

:)

4 0
3 years ago
15 POINTSSS<br> Need Anwsered Asap!
german
The equation we will use here is A^2+B^2=C^2, which is also know as the Pythagorean Theorem.
The given values are 6 and 9, where they can represent any value, there true values in the equation would be 36(6), and 81(9), so you must select a value that makes the equation true, given the constraints.

with that being said 3, doesnt work because
·36(6)+9(3)≠81(9)
·9(3)+81(9)≠36(6)
·36(6)+81(9)≠9(3)

10 doesnt work either because
·36(6)+81(9)≠100(10)
·81(9)+100(10)≠36(6)
·100(10)+36(6)≠81(9)

12 doesnt work either because 
·144(12)+36(6)≠81(9)
·36(6)+81(6)≠144(12)
·81(9)+144(12)≠36(6)

If you see where this is going you would know that there is no valid solution here, however rounding is always a possibility, when you actually do the math 81(9)+36(6)=117, and when squared you get your answer of 10.8, and the closest answer is 10, there fore your answer would be 10

-I hope this is the answer you are looking for, feel free to post your questions on brainly at any time.



5 0
3 years ago
Other questions:
  • Lcm of 15 , 5 , and 9 ?
    8·1 answer
  • Answer in factored form 13+14m+m^2
    6·2 answers
  • 4 divided by 2/9? If you could, please also explain.
    15·1 answer
  • There are 10 less trumpet players than saxophone players.The numbers of a saxophone player 3 times the number of trumpet players
    10·1 answer
  • Partners A, B and C share the profit of a business deal. Partner A gets 1/6, Partner B gets 3/4 and Partner C gets €25. How much
    14·1 answer
  • Help. Please find the area for this shape. Greatly appreciated if you do!
    11·1 answer
  • Determine the measure of the interior angle at vertex C.
    14·2 answers
  • (x^2 + 5x + 2) – (5x^2 – x – 2) =
    13·2 answers
  • Here is my question in a pic​
    12·2 answers
  • After how many audiobooks will they cost the same amount?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!