Relationship between future value and present value$-$Mixed stream Using the information in the accompanying table, $$ answer the questions that follow.

a$.$ Determine the present value of the mixed stream of cash flows using a $4\%$ discount rate.

b$.$ Suppose you had a lump sum equal to your answer in part a on hand today. If you invested this sum for $5$ years and earned a $4\%$ return each year, how much would you have after $5$ yea

c$.$ Determine the future value $5$ years from now of the mixed stream, using a $4\%$ interest rate. Compare your answer here to your answer in part b$.$

d$.$ How much would you be willing to pay for an opportunity to buy this stream, assuming that you can at best earn $4\%$ on your investments?

a$.$ The present value of the mixed stream of cash flows using a $4\%$ discount rate is $

$($Round to the nearest cent.$)$