Melissa's father is planning to open a savings account to pay for melissa's college education. he has found a bank that will pay 11 percent interest compounded semi-annually. how much will he need to deposit initially so that in 5 years the balance will be $116,000?

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 price of an item has been reduced by 30%. the original price was $30. what is the price of the item now ?

What is the area of the triangle 10 13 12