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) 1980 and 2005 .728 X million per year (b) 1.41 2015 and 2025 x million per year

Q: of tax returns that will be electronically filed for 2010 using exponential smoothing with α=0.1

A: Solution

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Q: Suppose 16 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

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Q: A student is speeding down Route 11 in his fancy red Porsche when his radar system warns him of an…

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Q: a) Forecast the percentage of tax returns that will be electronically filed for 2010 using…

A: Time series analysis

Q: Each month, Uncle Joe’s Auto Parts uses exponential smoothing (with α = 0.25) to predict the number…

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Q: The United States had an economic growth rate of approximately 2.9%and GDP of approximately $20.58…

A: Given query is to find the GDP in 2021.

Q: Find the time required for the investment given in the table below to grow to the specified amount.

A: we will use the formula A(t)=Pe^rt  where  A(t)= ending balance  P= principal amount r= rate t= time…

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A:

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.