This is Section 5.2 Problem 28: Jan is 62 and is considering retiring soon. She has $680,000 in a fund paying interest at an annual rate of 4.2% compounded continuously. She would like to withdraw a fixed amount continuously after she retires, and have a balance of $80,000 when she is 90 years old. Assume a continuous money flow, then she can spend 3317.1each month. (Round the answer to an integer at the last step.) Hint: Follow Example 8. This is Section 5.2 Problem 30: John is 28 years old and plans to retire at 67. He wants to have a fund at 67 that will let him spend $4,500 a month after retirement, and last for 45 years. Assume a continuous money flow Answer the following. Round your answers (at the last step) to integers. (a) Suppose that after his retirement John puts the money in a fund paying interest at an annual rate of 4.2%, compounded continuously. Then John will need $ 1091479 for his retirement. (b) Suppose that John starts to invest a fixed amount each month from now until he retires, in a fund that pays interest at an annual rate of 6.2%, compounded continuously Then he should invest $ 551 each month Hint: Follow Example 9 This is Section 5.2 Problem 32: Refer to Exercise #28. If Jan decides to postpone her retirement for 4 years, then she can spend $ 332273 integer at the last step.) X each month after retirement. (Round the answer to an Hint: Follow Example 8 but reset the perimeters This is Section 5.2 Problem 34: Refer to Exercise #30. If John waits until he is 35 to start investing for his retirement, then he needs to invest $ 3126.38 amount when he retires at 67. (Round the answer to an integer at the last step.) X each month in order to have the same Hint: Follow Example 9 but reset the perimeters