Answer the following independent quantitative problems: 1) How many 3-inch segments can a 4.5-yard line be divided into? 2) Alex buys 100 shares at $100 per share. The price rises by 10% and he sells 50 shares. Then the price drops by 10% and he sells the remaining 50 shares. How much money does he receive for the last 50 shares? 3) A cash drawer contains 160 bills, all $10s and $50s, totaling $2,760. How many of each denomination are in the drawer? 4) A teacher has 4 hours to grade papers from 45 students. She finishes the first 5 papers in 30 minutes. What is the average time available per remaining paper? 5) Let m = 1^2 + 2^2 + ... + 512^2. Compute S = 2^2 + 4^2 + 6^2 + ... + 1024^2 in terms of m.