A fund has 10,000 at the start of the year. During the year $5,000 is added to the fund and $2,000 is removed. The interest earned during the year is $1,000. Which of the following are true? (I) The amount in the fund at the end of the year is $14,000. (II) If we assume that any deposits and withdrawals occur uniformly throughout the year, i is approximately 8.33%. (III) If the deposit was made on April 1 and the withdrawal was made on August 1, then i is approximately 7.74%