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8. The average monthly Social Security benet for women may be modeled by Bit): 0343685505 r+ 35.13 where B(t) is in dollars and t is

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8. The average monthly Social Security benet for women may be modeled by Bit): 0343685505 r+ 35.13 where B(t) is in dollars and t is the number of years since 1940. a. If someone asked you in what year is Social Security benets highest, how would you answer? Explain. (5 points) b. According to this model, did Social Security benets increase faster during 1990 or 2000? Explain with calculus. (5 points) B '[t)=0.6972r5.505

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