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TM 6.5: Annuities, Methods of Saving, and Investments 14: Recall from group work that if P is the amount that you deposit each month into an investment account with interest rater (in decimal form), compounded monthly, and If A is the amount in the investment account after t years, then 120 A p[(1 +12) (2) Suppose that you can elect to have $300 deducted from your pay each month and deposited into such an account paying 5%, and that your employer that will match your monthly contributions, dollar for dollar a) If you do this for 10 years, how much will be in this investment account at the end of this 10 year period? b) Suppose at the end of this 10 year period, you switch jobs and stop making these regular deposits. How much will be in this account after 20 more years have passed? c) Over the total 30 year span described by parts (a) and (b), how much money out of your own pocket will you have contributed to this investment account? d) At the end of the 30 year span described by parts (a) and (b), how much of the money in the investment account will you have earned "for free?" (ie, what is the total interest earned?). SS Log relationships 15: Access the data sheet "Average Female Height, by Age