All the computers in the lab of a university have to be replaced 3 years from now at a cost of $500,000. In order to have the necessary fund, the university decided to set aside equal amounts at the beginning of every 6-months semester. There are two semesters in a year and we are now at the beginning of the current term. If interest is 5% p.a. compounded semiannually, find the following. (Round all the answers to two decimal places.) a) Find the size of the semi-annual deposits. (10 marks) b) If the university decides to deposit a certain amount (one lump-sum) at the beginning of the first semester instead of setting aside the 2 equal amounts at each semester, what is the size of this certain amount? (10 marks)