Please show calculations:

= On the first day of each month, starting January 1, 1995, Mike deposits 200 in an account earning i(12) 0.06, with interest credited the last day of each month. In addition, Mike deposits 1000 in the account every December 31. For each of the fol- lowing cases draw the time diagram line and indicate the valuation point. (a) What is the balance on December 31, 1996, after the deposit of 1000 is made ? (b) Find the period of time when Mike's account first exceed 200000 ? (c) What is the balance on April 1, 2020 after the deposit of 200 is made ? (d) What is the balance on April 30, 2020 after the interest is credited