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# # - 2026041032
Tick Tock: A Tale for Two
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\( t^2 - 4t - 10 = 0 \)
\( t = \frac{4 \pm \sqrt{16 + 40}}{2} \)
\( t = \frac{4 \pm \sqrt{56}}{2} \)
\( t = \frac{4 \pm 2\sqrt{14}}{2} \)
\( t = 2 \pm \sqrt{14} \)
#### 5.74 seconds
\( x = -\frac{40}{2 \times -2} = 10 \) (i.e., 1000 units)
\( P(10) = -200 + 400 - 150 = 50 \)
#### $50,000
\( a = 5, d = 3, n = 15 \)