$2-$ Anna, a civil engineer, invests $$8,000$ in a retirement fund today. The fund offers an $8\%$ annual interest rate, compounded annually. Additionally, Anna plans to deposit an extra $$1,000$ at the end of each year, starting from the $2$nd year, and continue doing so for the next $18$ years.

Questions:

$$ i$.$ What will be the total amount available in Anna$$s account at the end of $20$ years?

$$ ii$.$ If Anna decides to withdraw an equal amount of money every year for the next $10$ years $($starting at the end of year $21),$ how much can she withdraw each year without exhausting the fund?