Instructions Total mark is 26. This assignment is due by June 23 dlPM Eastern Time in Blackboard. If you write answers by hand, make sure your writing is legible to course instructor. For full credit, show necessary steps. This assignment corresponds to textbook Chapters 1,2,3 and lecture slides of Week 1. 1. Let A = {assasan 1}.B ={n.4.5,s.s.1n} and U = {9.7.8. 2.}. {a} [3 points) Obtain A H B... AK 5, and BE A. {b} [4 points) Use the three sets to verify the distributive laws of unions and intersections. 2. Simplify the following expressions {a} [2 points) lfmg 1I.:"1-,,r2 lfag + lily2 lrP'i _ 1+r9-P' 3. [4 points} The expected yearly interest rate for a deposit account is an from year 1 to year 5? and is r; from year 6 to year ll]. The total amount of cash that can be withdrawn at the end of year 10 is targeted to 3 dollars. To achieve this target, what is the amount of dollars that should deposited in year I)? 4. [3 points} Let fiat) = 133- Calculate w for h y ll After you obtain your answer... evaluate it again by setting I: = . 5. [2 points] In the following system of two linear equations, solve for a and 3;. given 2. Ta+y+z=5 r+2yz=3 6. [4 points} Suppose in a market, the demand Function is QB = 5 1133 and the supply function is Q3 = 1 + 6P. Solve for the equilibrium