Question 350266
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In order for P to equal 20,000, *[tex \Large 4500\sin\left(\frac{\pi{t}}{52}\right)\ =\ 3000], so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin\left(\frac{\pi{t}}{52}\right)\ =\ \frac{2}{3}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{\pi{t}}{52}\ =\ \sin^{-1}\left(\frac{2}{3}\right)\ \approx\ 0.73\text{ radians}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ t\ \approx\ \frac{0.73\,\cdot\,52}{\pi}\ \approx 12]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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