The maturity value of a savings account that belonged to Peach Company was $$47,183\mathrm{.}50.$ The interest charged for the first $2$ years was $4\%$ compounded semi$-$annually, and $4\%$ compounded quarterly for the next $5$ years.

a$.$ Calculate the amount that was deposited in the savings account at the beginning of the period.

$$0\mathrm{.}00$

Round to the nearest cent

b$.$ Calculate the total amount of interest earned from this investment.

$$0\mathrm{.}00$

Round to the nearest cent