1. [-/6.66 Points] DETAILS Find the effective annual interest rate ~ (as a percent) of the given nominal annual interest rate. Round your answer to the nearest 0.01%. 9% compounded monthly r= 2. [-/6.66 Points] DETAILS Compute the simple interest IN for the specified length of time and the future value FV at the end of that time (in dollars). Round all answers to the nearest cent. $11,300 is invested for 8 months at 11% per year. INT = $ FV = $ 3. [-/6.66 Points] DETAILS Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $500 is deposited monthly for 10 years at 49% per year in an account containing $7,000 at the start FV = $1 4. [-/6.66 Points] DETAILS Find all solutions of the given system of equations and check your answer graphically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y = y(x).) 9x + y = 36 -9x + y = 36 (x, y) =5. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEACHER The following table lists several corporate bonds issued during a particular quarter. AT&T Bank of General Goldman Wells Company America Electric Sachs Verizon Fargo Time to Maturity 10 10 3 [years) Annual 4.40 1.00 4,25 6.15 4.15 4.50 Rate (%) If the General Electric bonds you purchased had paid you a total of $8,680 at maturity, how much did you originally invest? (Round your answer to the nearest dollar.) $ 6. [-/6.76 Points] DETAILS MY NOTES ASK YOUR TEACHER The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.1 Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.] Airline United American JetBlue Southwest Continental Cost (C) 14.9 14.6 11.9 12.4 Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 235 empty seats, costing them a total of $100,515. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight? United Continental empty seats American empty seats Southwest empty seats7. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEACHER Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest cent.) $20,000 borrowed at 6%% for 10 years, with monthly payments PMT = $1 8. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEACHER The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern History-and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 41 sections total, there are 4,400 students who would like to take a course, and there are 54 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor? HINT [See Example 2.] (Assume each section has the maximum number of students allowed.) Ancient History sections Medieval History sections Modern History sections 9. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEACHER Compute the specified quantity. Your total payment on a 2 year loan, which charged 5% annual simple interest, amounted to $40,360. How much did you originally borrow (in dollars)? (Round your answer to the nearest cent.) $1 10. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEACHER Calculate, to the nearest cent, the future value FV (in dollars) of an investment of $10,000 at the stated interest rate after the stated amount of time. 1% per year, compounded annually, after 13 years FV = $13. [-/6.66 Points] DETAILS MY NOTES A Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $30,000 in a fund paying 3% per year, with quarterly payments for 20 years PMT = $ 14. [-/6.66 Points] DETAILS MY NOTES A Find the present value PV of the annuity account necessary to fund the withdrawal given. HINT [See Quick Example 3.] (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $1,400 per quarter for 10 years, if the account earns 6% per year PV = $ 15. [-/6.66 Points] DETAILS MY NOTES A Calculate the present value PV (in dollars) of an investment that will be worth $1,000 at the stated interest rate after the stated amount of time. (Round your answer to the nearest cent.) 7 years, at 3.3% per year, compounded quarterly PV = $1