2. You make an initial deposit of P dollars into each of two accounts with different schemes: Account 1: The account earns interest at a rate of r monthly for the first six months, and then s monthly for the next six months, then the pattern repeats. Account 2: The account earns interest at a rate of r in the first month, s in the second month, then the pattern repeats. (i) Compute the value of Account 1 after 3 years. Clearly indicate your reasoning, and explain your answer. (ii) Compute the value of Account 2 after 3 years. Clearly indicate your reasoning, and explain your answer. (iii) What is the relationship between your answers in parts (a) and (b)? Explain your answer. Your explanation can justify the mathematical relationship or financial relationship, but you do not need to do both