Mariah purchased a car for $8,599. If the rate of depreciation is 2.5%, what will the value of the car be after 4 years? Round your answer to the nearest hundredth.

Respuesta :

Answer:

[tex]\$7,770.81[/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=\$8,599\\r=2.5\%=0.025\\x=4\ years[/tex]

substitute

[tex]V=\$8,599(1-0.025)^{4}=\$7,770.81[/tex]