On July 1, 1999 (i.e. half way through the year) a person deposits 1000 into a fund for which the force of interest at time t is given by 3+2t 50 where t is the number of years since January 1, 1999. Another deposit of size 500 is made on July 1, 2000 (i.e. again, half way through the year). Determine the accumulated value of the entire investment on January 1, 2001.