1.Stacey and her husband David have a joint savings account that earns 3.7% interest payable continuously and has a current balance of $58,458. Each year, David wishes to withdraw $4,000 payable continuously at a level rate. Stacey wishes to deposit X at the beginning of each year (for thirty years) so that the account will last for thirty years.What is the least X that will work? (Round your answer to the nearest cent.)

2.

Quang deposits $20,000 in a savings account with a discount rate of 4.4% convertible quarterly. He leaves his money in this account to accumulate for twelve years, then moves it to a fund which is accumulating at 5.3% per annum convertible continuously. If, starting at time 12 when he invests in the new fund, money is withdrawn levelly and continuously at a rate of $7,000 per annum, how long will Quang's money last? (Round your answer to two decimal places.)