An investment of $$13,000$ was growing at $5\mathrm{.}5\%$ compounded semi$-$annually. a$.$ Calculate the maturity value of this investment at the end of year $1.$ Round to the nearest cent b$.$ If the interest rate changed to $6\%$ compounded monthly at the end of year $1,$ calculate the maturity value of this investment at the end of year $5.$