Neco 2022 Civic Education Question 9

The number of reported cult‑related incidents in a state has been falling each year. In 2022 the recorded number was \(1\) 200 incidents. For the five‑year period 2017-2022 the annual reduction rate was a constant \(12\%\) per year. (a) What was the number of incidents reported in 2017? (b) The government now aims to achieve an additional \(15\%\) reduction in the next year (2023). What is the target number of incidents for 2023? (c) Suppose instead that the number of incidents actually fell from \(2\) 500 in 2017 to \(1\) 200 in 2022. Assuming a constant average annual reduction rate over these five years, calculate that average annual reduction percentage (to two decimal places).