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 the following years. (Round your answers to three decimal places.) (а) 1989 and 2003 X million per year (b) 2015 and 2022 x million per year

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 the following years. (Round your answers to three decimal places.) (а) 1989 and 2003 X million per year (b) 2015 and 2022 x million per year

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

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 the following years. (Round your
answers to three decimal places.)
(a)
1989 and 2003
x million per year
(b)
2015 and 2022
x million per year

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