Suppose you plan to have $$40,000$ in $30$ years from now and you can invest your savings at $4\%$ compounded continuously. Assuming you can save the same amount of money each year, how much do you need to save on a yearly basis in order to achieve your goal? Hint: Treat your savings as an income stream.

Yearly savings $($exact value$)=$dollars

Yearly savings $($rounded to the nearest cent$)=$dollars