5. (8 points) A chemical substance has a decay rate of 8.8% per day. The rate of change of an amount N of the chemical after t days is given by dN = -0.088N (i) Let No represent the amount of the substance present at to. Find the exponential function that models the decay. (ii) Suppose that 400g of the substance is present at to. How much will remain after 3 days? (iii) What is the rate of change of the amount of the substance after 3 days? (iv) After how many days will half of the original 400g of the substance remain? 3