1. In parts (i) to (iii) assume that the investment is made into an account that follows Scheme RST. (i) If a principal P is invested at the beginning of Week 1, what is the value of the investment after 1 year? Note: There are 52 weeks in a year. (ii) If a principal P is invested at the beginning of Week 1, how many cycles (3 weeks) will it take for the value of the investment to triple? (iii) After 24 wecks we want the value of our investment to be S. What principal P should be invested at the beginning of the first week in order to ensure that the account has exactly S dollars