QUESTION FOUR (A) In a competition, a school awarded medals in differents categories, 36 medals in dance, 12 medals in dramatics and 18 medals in music. If these medals went to a total of 45 persons and only 4 persons got medals in all three categories. How many received medals in exactly two ot these categories? [5 marks] (B) Suppose that k2,000 is invested in an account which offers 7% compounded monthly. Using the equation below =P (i) Express the amount A in the account as a function of the term of the investment t in years. [5 marks] (ii) How much is in the account after 5 years? [5 marks) (iii) How long will it take for the initial investment to double? [5 marks) [Total: 20 Marks ] Page 4 of 7