1. Jose Canseco expects to owe$15,500 when he files his 2019 Federal Income tax in 11 months.What amount should Jose save per month, at 4% compound monthly, to have enough to pay his 2019 Income Tax?Explain why you choose to use the selected formula to solve this problem. (10%)

2. Amanda Jones buys a new Toyota costing $22,000.She agrees to make payments at the end of each month for 4 years.He pays 3.5% interest, compounded monthly.What is the amount of each payment? And how much interest does Amanda pay at the end of 4 years.Explain why you choose to use the selected formula to solve this problem. (15%)

3. Convert the function y = f(x) = -3x²+ 18x -31 to vertex form (must show work) and ROUGHTLY graph it by starting with y = x². (15%)

4. Fresno State Business Fraternitydecide to raise money by raffling off two Fresno State baseball season tickets worth $500 each, Five rounds of golf worth $80 each, and three Fresno State baseball cap worth $15 each.A total of 150 tickets are sold at $3 each.Construct a probability distribution and find the expected value of winning for a student who buys one ticket in the raffle. (15%)

5. Certain laboratory animals must have at least 30 grams of protein and at least 20 gramsof fat per feeding period.These nutrients come from food A, which costs 18 cents per unit and supplies 2 grams of protein and 4 of fat, and food B, with 6 grams of protein and 2 of fat, costing 12 cents per unit.Food B is bought under a long-term contract requiring that at least 2 units of B be used per serving.How much of each food must be bought to produce the minimum cost per serving? (15%)

6. From a potential committee pool with 8 Hispanic, 6 Caucasian, and 3 African-American members, 4 members are to be selected. (10%)

(a) Find the probability that 2 Hispanic, 1 Caucasian and 1 African-American are selected.;

(b) How many different ways can 4 members be selected if the 1st member selected is to be paid at $10 for serving the committee, the 2nd member selected at $8, the 3rd at $6, while the 4th does not get paid.

7. From the problem 6 above, if two members are to be selected, what is the expected number of Hispanic members that will be chosen?.Let x be the number of Hispanic members selected.Hint: First construct a probability distribution for x, then find the expected value. (20%)