(Solved): a) Let \( P \) be the set of all Malay statements. A relation on \( \boldsymb ...

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a) Let \( P \) be the set of all Malay statements. A relation on \( \boldsymbol{I} \) is defined on \( P \) as follows: For each \( a, b \in P, a I b \Leftrightarrow a \rightarrow b \) is true. Determine whether the relation is reflexive, symmetric and transitive. (6 Marks) b) If a Bank X pays interest at a rate of \( 2 \% \) per year compounded annually and \( A_{n} \) denotes the amount in the account at the end of year \( n \), then \( A_{k}=(2.04) A_{k-1} \), for each integer \( k \geq 1 \), assuming no deposits or withdrawals during the year. Suppose the initial amount deposited is RM 100,000, and assume that no additional deposits or withdrawals are made. i. How much will the account be worth at the end of 10 years? ii. How many years will the account be worth RM \( 1,000,000 \) ? (5 Marks) c) By using the binomial expansion, find the constant term for the expression \[ \left(2 y-\frac{3}{y^{2}}\right)^{6} \]