Two investments are made at the same time. The first consists of investing 1400 dollars at a nominal rate of interest of 10 percent convertible semiannually. The second consists of investing 1300 dollars at a nominal rate of interest of 10 percent convertible daily. How long will it take for the two investments to be worth exactly the same amount? (Assume compound interest at all times.)

Answer = years. (Be sure to give several decimal places of accuracy!)