Problem $8$:

An amount of $$1,000$ is paid into a fund that earns an effective rate of $6\%.$

At the end of each year, the interest plus an additional $$100$ is withdrawn

from the fund. At the end of year $10,$ the fund is depleted. The annual

withdrawals of interest and principal are deposited into fund Y$,$ which earns

an effective rate of $9\%.$ What is the accumulated value of the Fund Y at the

end of year $10?$