please answer 4,5,6 this is a Theory of Interest class

4. If we make deposits of $100 into a savings account at the beginning of each month for five years, what would the balance of the account be ten years from the date of opening if the account pays a nominal rate of interest of 5% converted semi-annually? 5. Suppose we make a deposit into a savings account at the end of each quarter for ten years. Our first deposit is $1000 and each subsequent deposit will be 10% greater than the previous one. If the savings account pays a nominal rate of interest of 3% converted monthly, find the amount of money in the account immediately following the final deposit 6. Consider a perpetuity-due with annual effective interest rate i that has a payment every k years. The size of the jth payment is $y. Express the present value of this annuity using annuity notation