The department of health in a developing country has issued a warning that the number, N, of reported cases of a certain disease is increasing exponentially at an annual rate of 9%. The first year that statistics were collected, 5000 cases were reported.

a. Estimate the # of cases reported after 7 years.

b. Estimate the # of years, to the nearest tenth, required for the # of reported cases to rise to 11,000.