6. Consider the two following payment plans for Billy's new blender. The first plan is an initial payment of $30 dollars followed by an easy payment of $30 every month for three months. The second plan pays X dollars initially followed by an easy payment of Y dollars every month for three months. Assuming an annual interest rate of 10%, (a) Find an equation Y(X) such that the two payment plans are equivalent. (b) Find the payments required if X = 0. (c) Find the cost X where no further payments are required