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What are the period and vertical shift of the cosecant function below? period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up?

Given the following information, calculate the savings ratio: liabilities = $25,000 liquid assets = $5,000 monthly credit payments = $800 monthly savings = $760 net worth = $75,000 current liabilities = $2,000 take-home pay = $2,300 gross income = $3,500 monthly expenses = $2,050 multiple choice 2.40% 3.06% 34.78% 33.79% 21.71%

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?