At present, there is $100 000 in a trust fund. The fund earns two % interest per year, but 10% of the fund is given away each year. Also, $10 000 is put into the trust fund per year.
a) Obtain and solve the difference equation by generating functions
b) If the trust fund wants to get to 1 million dollars, how much should be added to the trust fund per year (use any way you can to solve this, but explain)?