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Your weekly revenue R ( in dollars ) from your T-shirt business can be modeled by R = -2t^2+87t+90 where t represents the number of weeks how much did you make your third week in business./

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ANSWER

$ 333

EXPLANATION

The revenue you earn is modeled by the function,

[tex]R(t) = - 2 {t}^{2} + 87t + 90[/tex]

where t is the number of weeks.

In your third week of business, we want to find how much dollars you will make.

So we plug t=3, into your revenue function to obtain;

[tex]R(3) = - 2 {(3)}^{2} + 87(3)+ 90[/tex]

[tex]R(3) = - 18+261+ 90[/tex]

[tex]R(3) = 333[/tex]

Hence in the third week, you will make, 333 dollars

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