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
Wittaler [7]
3 years ago
5

A certain car depreciates such that its value at the end of each year is p % less than its value at the end of the previous year

. If that car was worth a dollars on December 31, 2010 and was worth b dollars on December 31, 2011, what was the car worth on December 31, 2013 in terms of a and b ?
Mathematics
1 answer:
icang [17]3 years ago
4 0

Answer:

b(b/a)^2

Step-by-step explanation:

Given that the value of the car depreciates such that its value at the end of each year is p % less than its value at the end of the previous year and that car was worth a dollars on December 31, 2010 and was worth b dollars on December 31, 2011, then

b = a - (p% × a) = a(1-p%)

b/a = 1 - p%

p% = 1 - b/a = (a-b)/a

Let the worth of the car on December 31, 2012 be c

then

c = b - (b × p%) = b(1-p%)

Let the worth of the car on December 31, 2013 be d

then

d = c - (c × p%)

d = c(1-p%)

d = b(1-p%)(1-p%)

d = b(1-p%)^2

d = b(1- (a-b)/a)^2

d = b((a-a+b)/a)^2

d = b(b/a)^2 = b^3/a^2

The car's worth on December 31, 2013 =  b(b/a)^2 = b^3/a^2

You might be interested in
Need help asap!!!!!!!!!
agasfer [191]

Answer:

4

Step-by-step explanation:

8 0
2 years ago
Please Helpppp!!!!! I Have no clue I forgot how to find the slope.
monitta
Answer: 2/3

Explanation: the difference between -14 and -10 is 4 and in fractions x/y. so we have 4/y. the difference between -18 and -12 is 6 so we have 4/6 but we can simplify that to 2/3.
6 0
2 years ago
Read 2 more answers
Which term best describes the system of equations?
Oduvanchick [21]

Answer:

  coincident

Step-by-step explanation:

The first equation is 3 times the second equation, so describes exactly the same line. The lines are "coincident".

7 0
3 years ago
Please help me quickly
bekas [8.4K]

Answer:

D

when you look at it it is upside down so d is the right answer

4 0
2 years ago
What fraction plus 7/8 = 1
Bess [88]

Answer:

1/8

Step-by-step explanation:

yes

6 0
2 years ago
Other questions:
  • Based on his salary, Kevin knows that he will have $336.00 withheld from his paycheck for federal income tax. He would like to h
    8·2 answers
  • 500 reduced my 2 times my age is 300
    6·2 answers
  • Which type of graph is typically not used for quantitative data?
    5·1 answer
  • Plz helppp..........!!!!!!!!!!!
    6·1 answer
  • How to solve for y with 9x-y=45?? Help!!
    12·2 answers
  • 3. Melissa and her family went to IHOP for breakfast. There total bill came to $40. The waiter was so good they decided to leave
    13·2 answers
  • Given f(x)=x^2+1 and g(x)=x. Which expression is not a polynomial?
    10·1 answer
  • Pls help me,i am very confused and i have no idea what to do,i will give brainliest and 35 points​
    14·1 answer
  • Funique513<br> tt<br> insta<br> twitter<br> follow for points I follow back too
    13·2 answers
  • Which statement best describes a graph of paired points that form a proportional relationship?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!