5. (10 points) A scholarship fund will make annual payments of 5000 with the first occurring n years from today. (n is a positive integer.) Today the scholarship fund has a balance of 50,000. The fund credits interest at an annual effective rate of 5%. (a) What is the smallest possible value for n? In other words, find the earliest possible time for the 5000 annual payments to commence. (b) If the first payment is n years from today (same n you obtained in part (a)), is it possible to squeeze in a smaller payment in n - 1 years? If so, give the amount of the smaller payment. 5. (10 points) A scholarship fund will make annual payments of 5000 with the first occurring n years from today. (n is a positive integer.) Today the scholarship fund has a balance of 50,000. The fund credits interest at an annual effective rate of 5%. (a) What is the smallest possible value for n? In other words, find the earliest possible time for the 5000 annual payments to commence. (b) If the first payment is n years from today (same n you obtained in part (a)), is it possible to squeeze in a smaller payment in n - 1 years? If so, give the amount of the smaller payment