Kurt godel's auto auction currently employs four sales reps. each one has a cell phone paid for by the company. contracts for the $89.99 level of wireless service. however, in april one rep used 1124, and another used 1345. the other two sales reps used less than 1000 minutes. each of the four lines has up to 1000 minutes each. what was april's bill for wireless service?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Find the difference (8ab+a+2) - (3ab+6)

A25- foot ladder leans against a building and reaches a point of 23.5 feet above the ground .find the angle that the ladder makes with the building