Respuesta :
Answer:
Therefore the value of the car after 10 year will be = $4,845.34
Step-by-step explanation:
A new car is purchased for $17900. the value of the car depreciates at 12.25% per year.
Since the value of the car depreciates therefore the amount of the car is
[tex]A= P(1-\frac{r}{100})^n}[/tex]
[tex]=17900(1-\frac{12.25}{100})^{10}[/tex] [ p = $17900, r = 12.25% and n =10 years]
= $ 4,845.34
Therefore the value of the car after 10 year will be = $4,845.34
The value of the car be, after 10 years will be $4845.34.
Given that,
A new car is purchased for 17900 dollars.
The value of the car depreciates at 12.25% per year.
We have to determine,
What will the value of the car be, after 10 years.
According to the question,
The value of the car depreciates therefore the amount of the car is determined by the formula,
[tex]A = P (1 -\dfrac{r}{100})^n[/tex]
Where, P = $17900, r = 12.25% and n =10 years
Substitute all the values in the formula,
[tex]A = P (1 -\frac{r}{100})^n\\\\A = 17900(1 -\frac{12.25}{100})^{10}\\\\A = 17900( 1- 0.1225)^{10}\\\\A = 17900(0.8775)^{10}\\\\A = 17900 \times 0.270\\\\A = 4845.34[/tex]
Hence, The value of the car be, after 10 years will be $4845.34.
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