Future value of an annuity Using the values below, answer the questions that follow. $($Click on the icon here $$ in

order to copy the contents of the data table below into a spreadsheet.$)$

a$.$ Calculate the future value of the annuity, assuming that it is

$(1)$ An ordinary annuity.

$(2)$ An annuity due.

b$.$ Compare your findings in parts a$(1)$ and a$(2).$ All else being identical, which type of annuity$\_$ordinary or annuity

due$-$is preferable as an investment? Explain why.

a$.(1)$ The future value of the ordinary annuity is $$.($Round to the nearest cent.$)$