$16.$ John Jones needs $\backslash (\backslash$$ $99,000\backslash )$ at the end of $8$ years, and his only investment outlet is an $10$ percent longterm certificate of deposit $($compounded annually$).$ With the certificate of deposit, he made an initial investment at the beginning of the first year. How much does John need to deposit to get the $\backslash (\backslash$$ $99,000\backslash )$ at the end of $8$ years. a$.$ What amount could John pay at the end of each year annually for $8$ years to achieve this same objective?