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
Help me on this Geometry question "Finding angle measures using triangles".<br>​
vladimir1956 [14]
X is 63 degrees!
It is equal to the angle marked 63 degrees (angles in that arrangement are always equal)
5 0
3 years ago
Read 2 more answers
Find the distance, to the nearest tenth, between (6, 5) and (-3, -4).
labwork [276]

Answer:

12.70

Step-by-step explanation:

7 0
3 years ago
What is the slope of the line that passes through (-2, 7) and (4, 9)?
prohojiy [21]
Slope=(9-7)/(4+ 2) = 1/3
3 0
3 years ago
Read 2 more answers
Write an equation that described how many cups of milk, m, would be needed for b cups of blueberries. 6 cups of milk for 2 cups
WITCHER [35]

Answer:

6 x 2 = ?

6 x 2 = 1 2

Step-by-step explanation:

6 cups of milk and 2 cups of blueberries multiply them from each other and you get your answer .

6 0
3 years ago
Read 2 more answers
A vendor has 16 balloons for sale 18 are yellow 3 are red and 5 are green.A balloon is selected at random and sold .if the ballo
Elena L [17]

Well since there are more Yellow balloons there is a less chance of it getting picked twice because there other colors.

So it will probably be 7 over 15

6 0
3 years ago
Other questions:
  • Pls help i give brainliest ​
    8·2 answers
  • An athletic stadium has a capacity of 1.5 × 10^4 fans. If 9 × 10^3 fans buy advance tickets to an event at the stadium, how many
    10·2 answers
  • In a box of chocolates the ratio of plain chocolates to milk chocolates is 2:5 what fraction of the chocolates are plain what fr
    11·1 answer
  • What is micro computer and its fuctionality?
    14·1 answer
  • by what percent will a fraction change if its numerator is decreased by 75% and denominator is decreased by 50%
    15·1 answer
  • Determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!!! Show work please. Part 3c​
    12·2 answers
  • Tell me a funny if funny then brainliest
    12·1 answer
  • Kesha had a recipe that required 1/3 pound of beef. 1 pound = 453.6 grams About how many grams of beef does she need
    14·2 answers
  • What is the difference written in scientific notation 0.00067 - 2.3 * 10⁻⁵
    12·2 answers
  • PLS HELP ILL MARK BRAINLIST I NEED ONE MORE ANSWER
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!