Landfill

Calculus Level pending

At the beginning of 2010, a landfill had 1400 tons of solid waste. The increasing function \(W\) models the total amount of solid waste stored at the landfill. Planners estimate that \(W\) will satisfy the differential equation \(\dfrac{dW}{dt} = \dfrac{(W-300)}{25}\) for the next 20 years. \(W\) is measured in years from the start of 2010. What will be the amount of waste when \(t= 1\) year?

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