Future value of an annuity$$Using the values$$ below, answer the questions that follow.

Amount of annuity$=7500$

Interest rate$=8\%$

Deposit period$($years$)=7$

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$$ identical, which type of annuitylong dashordinary or annuity duelong dashis preferable as an$$ investment? Explain why.