Algebra 2 a boat depreciates 12.75% per year. if the boat is purchased for $7500, what is the equation of the exponential equation? how much will the boat be worth in 6 years? (detailed explanation ! )

For this case we have an equation of the form:
 y = A * (b) ^ t
 Where,
 A: initial cost
 b: growth rate
 t: time in years
 Substituting values we have:
 y = 7500 * (1.1275) ^ t
 For year 6 we have:
 y = 7500 * (1.1275) ^ 6
 y = 15408.50724
 
 y = 7500 * (1.1275) ^ t
 y = 15408.50724 $ (year 6)