Aging baby boomers will put a strain on Social Security benefits unless Congress takes action. The...

  

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Aging baby boomers will put a strain on Social Security benefits unless Congress takes action. The Social Security benefits to be paid out from 2010 through 2040 are projected to be S (t) = 0.1375t +0.5185t +0.72 (0 t 3) where S (t) is measured in trillions of dollars and t is measured in decades, with t = 0 corresponding to 2010. a. What was the amount of Social Security benefits paid out in 2010? b. What is the amount of Social Security benefits projected to be paid out in 2040? The concentration of a certain drug in a patient's bloodstream t hr after injection is given by C (t) = 0.2t t + 1 mg/cm. Evaluate lim C (t) and interpret your t result. In Exercises 39, 40, 41, 42, 43, and 44, determine the values of x, if any, at which each function is At each number where f is discontinuous. discontinuous, state the condition(s) for continuity that are violated. 40. 10 ++++ -4-3-2-1 (x) = 1 2 3 4 1 2) = { 2 + 0 if x #0 if x = 0 In Exercises 57, 58, 59, and 60, determine all values of x at which the function is discontinuous. 60. f(x)= = x - 3x + 2 2 x 2x Aging baby boomers will put a strain on Social Security benefits unless Congress takes action. The Social Security benefits to be paid out from 2010 through 2040 are projected to be S (t) = 0.1375t +0.5185t +0.72 (0 t 3) where S (t) is measured in trillions of dollars and t is measured in decades, with t = 0 corresponding to 2010. a. What was the amount of Social Security benefits paid out in 2010? b. What is the amount of Social Security benefits projected to be paid out in 2040? The concentration of a certain drug in a patient's bloodstream t hr after injection is given by C (t) = 0.2t t + 1 mg/cm. Evaluate lim C (t) and interpret your t result. In Exercises 39, 40, 41, 42, 43, and 44, determine the values of x, if any, at which each function is At each number where f is discontinuous. discontinuous, state the condition(s) for continuity that are violated. 40. 10 ++++ -4-3-2-1 (x) = 1 2 3 4 1 2) = { 2 + 0 if x #0 if x = 0 In Exercises 57, 58, 59, and 60, determine all values of x at which the function is discontinuous. 60. f(x)= = x - 3x + 2 2 x 2x