Anew car is purchased for 24000 dollars. the value of the car depreciates at 6.75% per year. to the nearest year, how long will it be until the value of the car is 15500 dollars?

5.24 years

Step-by-step explanation:

Given: New car purchased for $24000

           rate of depreciation is 6.75%

           Residual value= $15500 .

First, lets find the amount of depreciation over a period of time.

Amount of depreciation=  

∴ Amount of depreciation = $8500

Lets assume the number of years be "x"

Now, using straight line method to find the number of years to have value of car as $15500.

Amount of depreciation=

∴  

⇒  

dividing both side by 1620

⇒  

∴ x= 5.24 years

Hence, It will take 5.24 years until the value of car is $15500.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half