You are looking at comparable houses with the same asking prices in neighboring towns. The mill rate in the first town is 20 mills. The mill rate in the second town is 37 mills. Both houses are assessed at $175,000. Mill rate is the tax rate that is applied to the assessed value of a real estate property by a municipality. Your tax is calculated by multiplying the mill rate by the assessed value of a property and dividing by 1,000. What is the dollar difference in annual property taxes based on mill rate between the two towns? a) $1,750 b) $6,475 c) $2,975 d) $3,500

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."