Math of Finance | Multiple-step Annuity example with BA II plus calculator

Dr. Kate Zhang, Professor at Humber College solving:
Multiple-step Annuity example with BA II plus calculator
Question 5: Alex has decided to start saving up for a vacation in two years, when he graduates from the college. He already has $500 saved today. For the first year, he plans on making end-of-month contribution of $100 and then switching to end-of-quarter contributions of $250 in the second year. If the account can earn 4% compounded monthly, how much money will he have saved when he graduates?