Mrs Emma Merker, a wealthy UI graduate, has started a permanent endowment fund at The University of Iowa by donating $500,000 to the Mechanical and Industrial Engineering Dept. Her instructions state that 1/2 of the interest each year is to be given to a certain Professor Del Rio and the other half is to remain in the fund for growth. If the University can invest the money at a market rate of 9% per year when the inflation rate is 4% per year,
a. How many dollars will Professor Del Rio receive at the end of year 9 ?
b. How many dollars will be in the fund 20 years from now?