1. How much will $5000 be worth in 25 years if it earns interest compounded continuously at 8%?
2. How long will an investment take to double if it earns interest compounded continuously at an annual rate of 5%?

For Questions 3 and 4: A cup of water was heated to a temperature of 90°. It was placed in a refrigerator that had a temperature of 11°C. The water cooled to a temperature of 17°C in 30 minutes. Let the following variables represent the relevant quantities.

L = Temperature of the liquid S = Temperature of the surroundings t = Time B = Initial temperature of the liquid (Temperature at t = 0 ) k = Cooling constant

3. Using the Equation Solver, find the value of k in the equation L = (B - S)e ^{-k · t} + S. Remember to set the equation equal to zero and then enter it into the Solver.
4. Predict the temperature of the water after 60 minutes.

For Questions 5 and 6: A capacitor discharges voltage such that , V(0) = 8.9 and
V(30) = 1.7, with time measured in seconds.

5. Find the value of k in the differential equation.
6. Find the half-life of the capacitor.

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