$1.$ Ar$-$Rayyan Bank Berhad has just appointed you as a Customer Relationship Officer in the Puchong branch. As an initial move to equip you with communication and problem$-$solving skills, the Head of Department $($HOD$)$ has assigned you several field$-$tasks described as follows:

$($a$)$ To better serve the customer, the HOD requires you to:

i$.$ Calculate the future value of RM$30,000$ after $10$ years if the interest earned at $1\mathrm{.}75\%$ compounded semi$-$annually. Show all calculations in detail.

ii$.$ In the event that the central bank declares a $0\mathrm{.}5\%$ increase in the OPR, demonstrate the variance in calculations from $($i$)$ by providing all relevant calculations.