You want to save for retirement. Assuming you are now $20$ years old and you want to retire at age $50,$ you have $30$ years to watch your investment grow. You decide to invest in the stock market, which has earned about $10\%$ per year over the past $80$ years and is expected to continue at this rate. You decide to invest $$1,000$ today.

Required:

How much do you expect to have in $30$ years?