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
Dahasolnce [82]
2 years ago
12

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10

%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two cars? 1. 7 years 2. 0 years 3. 1 years 5. 0 years.
Mathematics
1 answer:
zvonat [6]2 years ago
4 0

The approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

<h3>What is depreciation?</h3>

Depreciation is to decrease in the value of a product in a period of time. This can be given as,

FV=P\left(1-\dfrac{r}{100}\right)^n

Here, (<em>P</em>) is the price of the product, (<em>r</em>) is the rate of annual depreciation and (<em>n</em>) is the number of years.

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%.

Suppose the original price of the first car is x dollars. Thus, the depreciation price of the car is 0.6x. Let the number of year is n_1. Thus, by the above formula for the first car,

0.6x=x\left(1-\dfrac{10}{100}\right)^{n_1}\\0.6=(1-0.1)^{n_1}\\0.6=(0.9)^{n_1}

Take log both the sides as,

\log 0.6=\log (0.9)^{n_1}\\\log 0.6={n_1}\log (0.9)\\n_1=\dfrac{\log 0.6}{\log 0.9}\\n_1\approx4.85

Now, the second car depreciates at an annual rate of 15%. Suppose the original price of the second car is y dollars.

Thus, the depreciation price of the car is 0.6y. Let the number of year is n_2. Thus, by the above formula for the second car,

0.6y=y\left(1-\dfrac{15}{100}\right)^{n_2}\\0.6=(1-0.15)^{n_2}\\0.6=(0.85)^{n_2}

Take log both the sides as,

\log 0.6=\log (0.85)^{n_2}\\\log 0.6={n_2}\log (0.85)\\n_2=\dfrac{\log 0.6}{\log 0.85}\\n_2\approx3.14

The difference in the ages of the two cars is,

d=4.85-3.14\\d=1.71\rm years

Thus, the approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

Learn more about the depreciation here;

brainly.com/question/25297296

You might be interested in
Just question part d) pls
Vinil7 [7]

Answer:

fffffffffffffffffffffffffffffffffff

Step-by-step explanation:

fffffffffffffffff

5 0
3 years ago
Please help thank you
vitfil [10]

Answer:

Box below 4: 11

Box above 54: 47

Step-by-step explanation:

hope this helped!

6 0
2 years ago
Solving linear systems of substitution
never [62]
Example: 2x+2y=8 and 3y+2x=6
Okay so u first want to put on of the equations into a y= form. So let's use 3y+2x=6. Subtract 2x from both sides. 3y=6-2x divide by 3. Y= 6-2/3x or y= -2/3x + 6. Now just plug this new equation in for Y since "y=" into the other equation.
2x + 2(-2/3x + 6) = 8.
Then you would distribute the 2 into the parenthesis and simplify to solve for x.
After you solve for x, plug x into one of the original equations to find y.
6 0
3 years ago
What is the <br> inverse of the function f(x) = x + 2?
lisabon 2012 [21]
Assuming the function is x^2
4 0
3 years ago
Find f(-2) for f(x) = 3.2.<br> O A. 2/1<br> OB.<br> 36<br> O C. -36<br> OD. -12<br> 3/4
valina [46]

Answer:

3/4 (A)

Step-by-step explanation:

replace x with -2 in the function

3 · 2^-2  = 3 · 0.25

3 · 0.25 = 0.75

0.75 = 3/4

3 0
2 years ago
Read 2 more answers
Other questions:
  • How much is 3 3/5 x 2 3/8
    8·1 answer
  • A triangle can be classified as both equilateral and right. True of False?
    9·2 answers
  • Jason plans to pay the water bill with 2 equal payments . Enter a fraction to represent the division in this situation if the wa
    8·1 answer
  • Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a ra
    7·1 answer
  • The marked price of a water cooler is $ 4500. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.
    15·1 answer
  • Anybody can I know is this the working and the answer are right? If any wrong plssss tell me.. ​
    12·1 answer
  • What is the value of y for the line when x=-4
    12·1 answer
  • ​Yesterday, Grace drove 44 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per​ gallon?
    15·2 answers
  • Plz help me with this!??????
    7·1 answer
  • Any mind helping? 15 Points! :&gt;
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!