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 ?

please solve these math details and do not be use any software.