Starting on his 25th birthday and continuing through his 60th birthday, Fred deposits $7,500 each year on his birthday into a retirement fund earning an annual effective rate of 5%. Immediately after the last deposit, the accumulated value of the fund is transferred to a fund earning an annual effective rate of j. Five years later, a twenty-five year annuity-due paying $5,800 each month is purchased with the funds. The purchase price of the annuity was determined using an annual effective rate of interest of 4%. Find j.

An attorney came to work on a saturday. when he signed in, he was advised by the morning security guard employed by the building management that he must be out of the building by 5 p.m., when it closes. however, he stayed past 5 p.m. to complete a brief that had to be filed on monday morning. at 5: 15 p.m., the afternoon security guard set the locks on all the doors of the building and left. because she was in a hurry, she did not check the sign-in sheet to make sure that everyone had signed out, contrary to mandatory procedures. when the attorney tried to exit 15 minutes later, he discovered that the doors were all locked and could not be opened from the inside. he used his cell phone to call for , and a supervisor from the building arrived and let him out shortly thereafter. if the attorney sues the building management for false imprisonment, is he likely to win?