3. Two years ago, a man offered to sell his Chevy to a car dealership for $7000,but they declined to buy it. A year later the seller offered the same car for $6000, but again the car dealer decided not to purchase it. A few months later the man offered the Chevy for $5142.85, but yet again the car dealership refused to buy it. Yesterday, the car was offered for $4,408.16. The car dealer still did not want to purchase the car. If the owner offers the car for sale again, and he maintains a consistent reduction, how much will the offer be?
4. A chessboard has squares that are two inches by two inches. What is the diameter of the largest circle that can be drawn on the board in such a way that the circle's circumference is entirely on black squares?
7. Sue is now four-fifths of her sister Kate's age. Three years ago, she was one-half her sister's age. Five years from now, Sue will be nine-tenths of Kate's age. If they are both under age 10, how old are they now?
9. What is the 4-digit number (no zeros) in which the first and last digits are the same, the second digit is half the sum of the second and the fourth, and the last digit is half the sum of the first and third? (the sum of all digits is 24)
10. The beach resort held a contest to guess the number of beach balls in the net bag. Alice guessed 20, Bill guessed 21, Charlie guessed 22, Dick guessed 17 and Ed guessed 16. One was off by 4, one was off by 3, one by 1, one by 2 and one was correct. How many beach balls were there?