6. A continuous flow of funds into a cash flow system started on January 1, 2020. The rate of flow is $500 per month. The continuous flow of funds into the system continued through January 1, 2030. The rate of return for the system is 15% with continuous compounding. What single amount on July 1, 2025 is equivalent to the continuous flow of funds? 7. Ed Pines Finance Inc. offers a "6% plan". The cost of a one-year loan is 6%, and this cost is added to the loan. This total is then divided by 12 to get the monthly payments. Calculate the nominal and effective interest rates being charged for a loan of $6,000. 8. At an interest rate of 9%, determine the future worth at the end of 5 years if five successive end-of-the year deposits are made at $100, $200, $300, $400, and $600, respectively. 9. You have just graduated with the highest honors. Now that you are working for a living, you have decided to open a savings account. The account is expected to pay a 10% nominal annual interest rate, compounded quarterly, and you wish to save $250,000 at the end of 20 years. Calculate the payments to be made if they are to be equal and paid at (a) the end of each quarter (b) the end of each month (c) the end of each year (d) the beginning of each year