Nine years from now, Sam wants to have an amount available to deposit into an account that earns 6 percent compounded annually. This account is to provide Sam with an income of $10,000 at the end of...

Nine  years  from  now,  Sam  wants  to  have  an  amount  available  to  deposit  into  an  account  that  earns  6  percent compounded annually.  This account is to provide Sam with an income of $10,000 at the end of each year for 10 years.  To accomplish this, Sam invests in an 8-year bank certificate that pays 8 percent compounded semiannually, and he will use this certificate, plus interest , to establish his income account.  What should be the principle value of the certificate be ?