I need help with 25 questions in my Math 120 class.
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MTH 120 Quiz #2 Show all work for full credit 1. Determine which region a, b, c, or d represents the graph of the given system of linear inequalities (4 points) 2. Graph the system of inequalities (6 points) 3. (6 points) (a) Graph each system of linear inequalities and (b) Determine whether the graph is bounded or unbounded. (c) List each corner point of the graph 4. Maximize (if possible) the quantity z = 5x + 7y subject to the given constraints (4 points)
MTH 120 Quiz #3 Show all work for full credit Find the interest due on each loan. 1. $800 is borrowed for 8 months at 5% simple interest Find the simple interest rate for each loan. 2. $600 is borrowed; the amount owed after 9 months is $660 3. You need to borrow $5000 right now but 68. T-Bill Auctions As the result of a treasury bill auction, can repay the loan in 9 months. Since you want to pay as little interest as possible, which type of loan should you take: a discounted loan at 8% per annum or a simple interest loan at 8.5% per annum? Find the principal needed now to get each amount; that is, find the present value. 4. To get $30000 after 10 years at 4.5% compounded monthly. 5. What will a $150,000 house cost 5 years from now if the price appreciation for homes over that period averages 3% compounded monthly?
MTH 120 Quiz #4 Show all work for full credit 1. If U = universal set = {1, 2, 3, 4, 5} and if A = {3, 5}, B = {1, 2, 3}, C = {2, 3, 4}, find (2 points each) a. b. c. d. 2. Find n, given that n(A) = 8, n(B) = 9, and n = 16. (4 points) 3. How many elements are in B or C? (4 points) 4. How many license plates consisting of 3 letters (uppercase) followed by 3 digits are possible? (4 points)
MTH 120 Test #2 Show all work for full credit (4 points each) 1. Determine which region—a, b, c, or d—represents the graph of the given system of linear inequalities. 2. Maximize and minimize (if possible) the quantity z = 15x + 20y subject to the given constraints. 3. Jim borrows $14,000 for a period of 4 years at 6% simple interest. Determine the interest due on the loan. 4. What principal is needed now to get $1000 in 1 year at 3% compounded annually? How much should be invested to get $1000 in 2 years? Find the amount that results from each investment 5. $100 invested at 4% compounded monthly after a period of 15 years. 6. A department store charges 1.25% per month on the unpaid balance for customers with charge accounts (interest is compounded monthly). A customer charges $200 and does not pay her bill for 6 months. What is the bill at that time? 7. Pat has a Keogh retirement plan (this type of plan is tax-deferred until money is withdrawn). If deposits of $7500 are made each year into an account paying 6% compounded annually, how much will be in the account after 25 years? 8. Shane wants to plan a trip to Australia with his wife on her 30th birthday in three years. He anticipates that the all-inclusive trip will cost $7500 for both of them and wants to start saving. How much should he put into an account each month paying 3.25% compounded monthly to pay for the trip in three years? Find the monthly payment of each loan 9. A loan of $100,000 amortized over 60 months at 6%. 10. A husband and wife contribute $4000 per year to an IRA paying 5% compounded annually for 20 years. What is the value of their IRA?
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