Anna was supposed to make a payment of $$4,000$ in $2$ years and another payment for $$1,500$ in $6$ years to Maroon Inc. as part of a payment plan. Instead, she is trying to reach an agreement with the company where she would settle both payments in $5$ years. Assume that money is worth $3\mathrm{.}29\%$ compounded semi$-$annually.

a$.$ Calculate the equivalent value of the $$4,000$ payment and the $$1,500$ payment today.

Round to the nearest cent

b$.$ Calculate the size of the payment required in $5$ years to settle the amount.

Round to the nearest cent