A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £45 each and are on offer for 1/5 off. A train ticket for the day will cost £12 each. If 3 teachers and the maximum number of students attend, how much money will the school have left over?

Find an equation of the line perpendicular to the graph.

3women sell hats at a craft fair weekly. the money they make at the fair is split into categories. 9% goes to pay taxes. $55 goes to pay rent for the space they sell in. the rest is split between the women. if the group make $706 at the fair, how much does each women get paid once the money is divided

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. 1^2 + 4^2 + 7^2 + + (3n - 2)^2 = [n(6n^2-3n-1)/2]