3. (10 points) You have just graduated from RPI with a degree in computer science. Two companies have offered you a job The NoLoGo corporation offers you a starting salary of $80,000, with a guaranteed annual raise of 6%. . The Ajax Corporation offers you a starting salary of $100,000, with a guaranteed annual raise of $10,000 Answer each of the following questions about these offers. (a) For each offer, give a recurrence relation for your salary in your nth year of employment (b) For each offer, give a closed formula for your salary in your nth year of employment. (c) Assuming you will work at your chosen company for 30 years, in which job would you earn more money, and how much more would you earn? (show your work)