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Sales representatives of a new line of computers predict that sales can be approximated by the function S(t) = 1200 + 540\\(31 + e),where t is measured in years. What are the predicted sales in 13 years? Round your answer to the nearest whole number.

Sales representatives of a new line of computers predict that sales can be approximated-example-1

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We have the function


S(t)=1200+540\ln(31t+e)

And we want to evaluate S(13), therefore


\begin{gathered} S(13)=1200+540\ln(31\cdot13+e) \\ \\ S(13)=1200+540\operatorname{\ln}(403+e) \\ \\ \end{gathered}

Here we must use a calculator to get the result


\begin{gathered} S(13)=1200+540\operatorname{\ln}(403+e) \\ \\ S(13)=1200+540\cdot6.00566 \\ \\ S(13)=1200+3243.05587 \\ \\ S(13)=4443.05587708 \\ \\ S(13)=4443 \end{gathered}

The predicted sales in 13 years are 4443 computers

User IFadi
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