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Mathematics, 10.03.2021 17:50 1162

Function C gives the amount of water (in liters) in a tank t minutes since it starts being drained. At t = 0, the amount of water in the tank starts decreasing at a constant rate until t = p. For p ≤t ≤ q, C(t) = 200, where p and q are constants. At t = q, the water starts decreasing again but at a rate 15 L/s faster than at the beginning, until the tank is fully empty at t = 30. The domain of C is 0 ≤ t ≤ 30 and the range is 0 ≤ C(t) ≤ 350. Given that q - p = 7 and C(p-5) = 250, find C(q +5).

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