Need help to reach the solution for these questions! These are related question so I cannot separate it! Thanks!

4. On September 1, 2006, a philanthropist gives a university a fund of $50 000, which is invested at j2=10%. If semi-annual scholarships are awarded for 20 years from this grant, what is the size of each scholarship if the first one is awarded on a) September 1, 2006; b) September 1, 2008? Solution $2775.15 b) $3373.21 5. If the semi-annual scholarships in question 4 were to be awarded indefinitely, what would be the size of the payments for the two starting dates listed above? Solution a) $2380.95 b) $2894.06