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During which of the following phases of the business cycle does the real gdp fall? a. trough b. expansion c. contraction d. peak

John and daphne are saving for their daughter ellen's college education. ellen just turned 10 at (t = 0), and she will be entering college 8 years from now (at t = 8). college tuition and expenses at state u. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. ellen should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).so far, john and daphne have accumulated $15,000 in their college savings account (at t = 0). their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. they expect their investment account to earn 9%. how large must the annual payments at t = 5, 6, and 7 be to cover ellen's anticipated college costs? a. $1,965.21b. $2,068.64c. $2,177.51d. $2,292.12e. $2,412.76

2. activities included (and not included) in the calculation ofgdp the gross domestic product (gdp) of the united states is defined as the all in a given period of time. based on this definition, indicate which of the following transactions will be included in (that is, directly increase) the gdp of the united states in 2017. scenario 2017 gdp included excluded calculo, a u.s. electronics company, produces a calculator at a plant in indonesia on march 17, 2017. calculo imports the calculator into the united states on may 21, 2017. awake cafe, a u.s. coffee company, produces a latte at its location in minneapolis on january 9, 2017. it sells the latte to a customer immediately. fastlane, a japanese automobile company, produces a sedan at a plant in indiana on december 12, 2017. a family buys the sedan on december 24. you chop down a cherry tree on your property in california and make a dining room table in 2017. a similar table sells for $800 in a local furniture store. graincorp, a u.s. agricultural company, produces corn syrup at a plant in iowa on september 19, 2017. it sells the corn syrup to crunchy's for use in the production of cereal that will be made in the united states in 2017. (note: focus exclusively on whether production of the corn syrup increases gdp directly, and ignore the effect of production of the cereal on gdp.)