The owner of the "Hamburgruesas" business purchased imported furniture worth $550,000 pesos. He put down $55,000 and the rest to be paid one year at 20% interest compounded monthly. Two months after the purchase he made a payment of $80,000 and 4 months later he made another payment of $40,000. How much must he pay on the due date if in month nine he wishes to make a third payment equal to 50% of the value of the last payment he will make? in the twelfth month?

a)	Diagram the value equation with all its components
b)	The amount of the requested payment