5. A company introduces a new product on a trial run in a city. They advertised the product on television and found the percentage P of people who bought the product after t ads had run satisfied the function. 100 P(t) = 1 + 40e-0.32t a) What percentage of the people bought the product before seeing the ad (t=0)? b) What percentage bought the product after the ad has been run 5 times and 20 times? Find the rate of change P'(t) d) Sketch a graph of the function