A new car is purchased for 15500 dollars. The value of the car depreciates at 7.5% per year. What will the value of the car be, to the nearest cent, after 6 years?

Respuesta :

Answer:

[tex]\$9,709.17[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]V=P(1-r)^{x}[/tex]  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

[tex]P=\$15,500\\r=7.5\%=0.075\\x=6\ years[/tex]

substitute

[tex]V=\$15,500(1-0.075)^{6}=\$9,709.17[/tex]