a) Humphrey received an inheritance of $15,000 which he divided into three parts and invested in the treasury bills: in 91-day billpaying 3% annual interest; in 182-day bill paying 4% annual interest; and in 364-day bill paying 7% annual interest. He invested $5.000 more in 182-day bill than in 364-day bill. Humphrey eained $700 in interest the first year. Use the matrix inverse method to determine how muchHumphrey invested in each type of bill. (Your matrix should be a three by three) (6 Marks)