6. A vehicle was purchased for $\$ 32950$ and it decreases in value at $17 \%$ per year, calculate its value in 3 years. [ /3]

Step 1 ：The problem is asking for the value of a vehicle after 3 years given that it depreciates at a rate of 17% per year. This is a compound interest problem where the principal is the initial value of the vehicle, the rate is the rate of depreciation, and the time is 3 years.

Step 2 ：The formula for compound interest is: \(A = P(1 - r)^t\) where: \(A\) is the amount of money accumulated after n years, including interest, \(P\) is the principal amount (the initial amount of money), \(r\) is the annual interest rate (in decimal), and \(t\) is the time the money is invested for in years.

Step 3 ：In this case, \(P = \$32950\), \(r = 17% = 0.17\), and \(t = 3\) years. We can substitute these values into the formula to find the value of the vehicle after 3 years.

Step 4 ：Substituting the values into the formula, we get \(A = 32950(1 - 0.17)^3\)

Step 5 ：Solving the equation, we get \(A = \$18840.38165\)

Step 6 ：\(\boxed{\text{The value of the vehicle after 3 years is approximately \$18840.38}}\)