During a recession, Congress decides to stimulate the economy by providing funds to hire unemployed workers for government projects. Suppose that t months after the stimulus program begins, there are N(t) thousand people unemployed, where N(t)=−t^3+39t^2+406t+3088 To avoid overstimulating the economy (and inducing inflation), a decision is made to terminate the stimulus program as soon as the rate of unemployment begins to decline. When does this occur and at this time, how many people are unemployed

College Algebra
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Chapter5: Exponential And Logarithmic Functions
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Problem 37CT: On the day a grandchild is born, a grandparent deposits $2500 in a fund earning 7.5% interest,...
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During a recession, Congress decides to stimulate the economy by providing funds to hire unemployed workers for government projects. Suppose that t months after the stimulus program begins, there are N(t) thousand people unemployed, where 

N(t)=−t^3+39t^2+406t+3088

To avoid overstimulating the economy (and inducing inflation), a decision is made to terminate the stimulus program as soon as the rate of unemployment begins to decline.

When does this occur and at this time, how many people are unemployed?

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