One model for car depreciation is as follows, where Cis the original cost, Vis the value of the car after tyears, and ris the rate
of depreciation
V= (1-1)
If the original cost of the car was $21,000 and the rate of depreciation is 15%, what will be the value of the car after 5 years?
[Round to the nearest dollar.]
A. $17,850
B. $3,150
C. $9,318
D. $19,472​

Answers

Answer 1

Given:

Original cost of car = $21000

Rate of depreciation = 15% = 0.15

Time = 5 years

To find:

The value of car after 5 years.

Solution:

Consider the model for car depreciation is

[tex]V=C(1-r)^t[/tex]

where,  C is the original cost, V is the value of the car after t years, and r is the rate  of depreciation.

Substitute C=21000, r=0.15 and t=5 in the above model.

[tex]V=21000(1-0.15)^5[/tex]

[tex]V=21000(0.85)^5[/tex]

[tex]V=21000(0.4437)[/tex]

[tex]V=9317.7[/tex]

[tex]V\approx 9318[/tex]

The value of car after 5 years is $9318. Therefore, the correct option is C.


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A mapping diagram is an image of two circles that shows the relationship between the input and output values.

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Answer:

Step-by-step explanation:

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Slope of perpendicular lines are negative reciprocal of each other, so,

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Answer:

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Sample response :)

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