The average annual salary of the employees of a company in the year 2005 was $80,000. It increased by the same factor each year, and in 2006 the average annual salary was $88,000. Let y represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and y? y = 88(0.88)x
y = 88(1.1)x
y = 80(0.88)x
y = 80(1.1)x

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

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."

Alicia puts $400 in a bank account. each year the account earns 5% simple interest. how much money will be in her bank account in six months?