A chemical substance has a decay rate of 9.3% per day. The rate of change of an amount, N, of the chemical after t IN = -0.093N. lays is given by at = a. Suppose that 500 grams of the substance is present at time t = 0. Find the function, N(t), that models the decay. b. How many grams of the chemical will remain after 12 days? Round to the nearest hundredth of a gram. c. What is the "half-life" of this this substance? Round to the nearest day when no more than half remains. d. Calculate N'(2) and interpret the result in context