Lyle purchased a motorcycle for $13,430. It depreciates about 4.1% each year. What is the value of the motorcycle after seven years? $13,112.07 $9,575.59 $10,018.58 $17,792.26

Respuesta :

Answer:

[tex]\$10,018.58[/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=\$13,430\\r=4.1\%=0.041\\x=7\ years[/tex]

substitute the values

[tex]V=\$13,430(1-0.041)^{7}=\$10,018.58[/tex]