3. Susan is a WSU student who was gifted a $3000 check upon graduating high school in June 2018. In January 2019, she decided to invest her money in a mutual fund earning an annual interest rate 6%, compounding quarterly. Assume the end-of- month convention. a. How much money did Susan loose by waiting until January 2019 to invest her money? (4 points) b. If Eden made additional investments of $225 every quarter (starting at the end of March 2019), how much would the account be worth at the end of March 2022? (4 points) c. Suppose that Susan decided to withdraw 2 equal amounts, one at the end of April and one at the end of May in 2022 and remain with exactly $3000 in her account. What would be the amount of each withdrawal? Note: this answer should consider the additional quarterly investments of $225. (4 points) d. Suppose that Susan decided to purchase a used car for herself in the amount of $10,000, upon graduating from WSU (at the end of June 2022). Given her existing investment plan (considering the initial $3k investment and $225 quarterly payments), what effective annual interest rate is required to achieve this goal? (4 points) e. Now suppose that Susan decided that instead of making the $225 additional (uniform) quarterly payments, she would make additional quarterly payments during the year of 2021 (only) as an Arithmetic Gradient series of payments, in order to achieve her goal of saving $10,000 by at the end of June 2022. Include your calculations for the gradient amount (G=?), and the CFD showing the payments made, assuming the effective interest rate calculated in part (d. (4 points)