QUESTION $1$ a$)$ If you were to lend $\backslash (\backslash$$ $500\backslash )$ for three years at $\backslash (12\backslash \%\backslash )$ per year simple interest, how much interest would you get at the end of the three years? $(6$ Marks$)$ b$)$ How much is accumulated over ten years on a deposit of $\backslash (\backslash$$ $1,000\backslash )$ today at $\backslash (10\backslash \%\backslash )$ compounded annually? $(6$ Marks$)$ c$)$ If your credit card company charges a nominal $\backslash (24\backslash \%\backslash )$ interest on the overdue accounts, compounded daily, what is the effective interest rate? $($Assume $1$ year is $365$ days$).(6$ Marks$)$ d$)$ How long will it take any invested amount of money to double itself, with an $\backslash (11\backslash \%\backslash )$ interest rate, compounded continuously? $(7$ Marks$)$