8. Consider a hypothetical closed economy with the following functions: C = 50 + 0.75(Y-T); I = 100 – 2r; G = 120; T = 140; Ms = 440; P = 2; (M/P)d = 0.5Y – 1.5r; A. Write down the IS function. B. Write down the LM function. C. Determine the equilibrium levels of income and interest rate. D. What happens to equilibrium r if money supply is raised from 1,000 to 1,200? E. If the central bank wishes to raise the interest rate to 7 percent, what money supply should it set? F. If government purchases increase by 224, what is the impact of this change on the IS curve? and What is the impact of the change on the equilibrium level of income?

Catherine de bourgh has one child, anne, who is 18 years old at the end of the year. anne lived at home for seven months during the year before leaving home to attend state university for the rest of the year. during the year, anne earned $6,000 while working part time. catherine provided 80 percent of anne's support and anne provided the rest. which of the following statements regarding whether anne is catherine's qualifying child for the current year is correct? a. anne is a qualifying child of catherine. b.anne is not a qualifying child of catherine because she fails the gross income test. c.anne is not a qualifying child of catherine because she fails the residence test. d.anne is not a qualifying child of catherine because she fails the support test.