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15. Solve the following equations using natural to Round to three decimal places as needed. a. 20 - 5.7* b. 3 = 81 . 0-te

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15. Solve the following equations using natural to Round to three decimal places as needed. a. 20 - 5.7* b. 3 = 81 . 0-te 5. A dose of a certain drug, in mg, is eliminated from a body according to the function P(t) = 65e-0.13t, where t is the time is in hours. a. How much will be left in 15 hours? Show your work a to 1 decimal place as needed. b. How many hours will it take until 32.5 mg are left in the body? Show your work and box your final answer. Use units. Round to 1 decimal place as needed. Rewrite the function in the form P(t) = Pat. Show your work and box your final answer. Round to 3 decimal places as needed. 14. On an yearly basis, to the formula P(t) = 350(1.04). a. What is the initial populat you want y goin you growth rate as a per c. What is the doublin pulation of the colony? your answer. work and bon snake the p the form P(t) = Pockt. Show f. What is the cont duck If the price 10 produced The company sells each item it makes for $250. Determine the fo on C(x) where C re cost and x repress . State the revenue function R(x) where R represents the revenue duced (and sold). (No work required.)_ c. State the profit function (x) where is represents the profit and x repress Items produced (and sold). Show all steps and box your final answer. 11. A small shop has a cost function of C(x) = 1025 + 25x and a revenue function R(x) = 55x where * represents the number of items produced (and sold) and all monetary values are in US dollars. a. Find the break-even point. Show your work and box your final answer. . Estimate the slope of the to 5. Determine whether the tan Positive slopes are at the points Zero slopes are at the points_ Negative slopes are at the points_ points. No work is required. a. Point B b. Point C_ C. Point D 8. State whether the functi s . No work is required. point A c. Point F_ . Values for g(x) are given in the following table. Does it appear that g(x) is concave up or concave down? (x 100 90 81 73 66 -60

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