Radioactive Decay:  Carbon-14 has a decay rate of 0.012097% per year. The rate of change of an amount N of carbon-14 after t years is given by dN/dt = -0.00012097N. a) Let N0 represent the amount of carbon-14 present at t =0. Find the exponential function that models the decay. b) Suppose 200 g of carbon-14 is present at t =0. How much will remain after 800 yr? c) What is the rate of change of the amount of carbon-14 after 800 yr?

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