Charlene and Gary want to make perfume. In order to get the right balance of ingredients for their tastes they bought 2 ounces of rose oil at $4.96 per ounce, 5 ounces of ginger essence for $4.24 per ounce, and 3 ounces of black currant essence for $2.04 per ounce. Determine the cost per ounce of the perfume.

Which expression is equivalent to 2x^2+2x-4/2x^2-4x+2

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."

Given the equation f(x)=a(b)x where the initial value is 40 and the growth rate is 20% what is f(4)