answer questio 3 please

Bb Bb X Bb 21 M XM | | | 8 | Bb | b | 0 | b | | |b|4 * W FREE + X C https://learn-us-east-1-prod-fleet01-xythos.content.blackboardcdn.com/blackboard.learn.xythos.prod/585304bab... G 53 . . . 2 of 3 - +2 Page view A Read aloud | V Draw Highlight Erase AAB = (A - B) U(B - A) One of the following identities are generally not valid. Identify which one. Verify the remaining identities. (b) (3 points) AAB = BAA. (c) (6 points) AAB = (AUB) - (AnB). 3. (18 points) Consider f (x) = 72 72 - 1 (-1 0) Qs = c+dP (c,d > 0) (a) (4 points) Use direct substitution method to solve for the equilibrium values of P* and Q*. (b) (4 points) Use graphical method to solve for the equilibrium values of P* and Q*. For graphing purposes, assume that a = 4, b = -1 and c = d = 1. 5. (8 points) If you plan a birthday party with infinitely many guests where the person having the birthday cake takes 1 cake, the best friend is given half a cake, the next person a third, and so on, then how many cakes should you bake? 6. (5 points) Total world consumption of crude oil in 2021 was approximately 35 billion tons. If consump- tion increases by 5% each year and the world's total resources of crude oil are 1.6 trillion (1600 billion) tons, how long will these resources last? 7. (10 points) A construction firm wants to buy a building site and has the choice between three different payment schedules: 1. Pay $67, 000 in cash. 2. Pay $12, 000 per year for 8 years, where the first installment is to be paid at once. 3. Pay $22, 000 in cash and thereafter $7000 per year for 12 years, where the first installment is to be paid after 1 year. Determine which schedule is least expensive if the interest rate is 10% and the firm has atleast $67, 000 available to spend in cash. Type here to search R 2:15 PM 56OF Partly sunny ENG 10/16/2021 721