Jim purchased a harley davidson motorcycle for $17,399 in 2004. the value of the motorcycle depreciates at a rate of 13% each year. which equation models the value of the motorcycle x years after 2004?

If the object, in this case a motorcycle depreciates at a rate of 13% then, its value the following year is only 87% of its value the current year. The equation that would best represent the given is,

P (x) = P (0) (0.87) ^x

where P (x) is the price at any given x years after 2004, P (0) is the price last 2004.