Acyclist rides into the country at an average speed of 10 miles per hour. when his bicycle gets a flat tire, he walks it back at an average speed of 3 miles per hour. if he returns home 6 and a half hours after he starts, how far into the country does he go?

The diameter of a circular chip is doubled to use in a new board game. the area of the new chip will be

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."

The table shows the balance of a money market account over time. write a function that represents the balance y(in dollars) after t years.