A new car is purchased for 22400 dollars. The value of the car depreciates at 6.75% per year. What will the value of the car be, to the nearest cent, after 9 years?
After one year, the value of the car will be $22400 - 0.0675($22400) = $22400 - $1512 = $20988.
After two years, the value of the car will be $20988 - 0.0675($20988) = $20988 - $1414.26 = $19573.74.
After three years, the value of the car will be $19573.74 - 0.0675($19573.74) = $19573.74 - $1321.75 = $18251.99.
After nine years, the value of the car will be $22400(1 - 0.0675)^9 = $22400(0.9325) = $20842. The value of the car will be $20842 to the nearest cent. Answer: \boxed{20842}.