(Solution Library) Projected Retirement Funds. Based on data from the Central Provident Fund of a certain country (a government agency similar to the Social


Question: Projected Retirement Funds. Based on data from the Central Provident Fund of a certain country (a government agency similar to the Social Security Administration), the estimated cash in the fund in 2003 is given by

\[\begin{aligned} A(t)=&-96.6 t^{4}+403.6 t^{3} \\ &+660.9 t^{2}+250 \quad(0 \leq t \leq 5) \end{aligned}\]

where \(A(t)\) is measured in billions of dollars and \(t\) is measured in decades, with \(t=0\) corresponding to 2003 . Find the interval where \(A\) is increasing and the interval where \(A\) is decreasing and interpret your results. Hint: Use the quadratic formula.

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