With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030,

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With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by

B(t) = 0.00024t3 - 0.026t2 + 1.6t + 2.2

where t is the number of years past 1950. Use the model to find the average number of Social Security beneficiaries per year (actual and predicted) between

(a) 1980 and 2000.

(b) 2010 and 2030.

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