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1) Suppose you invest $200 per month for a period of 30 years. a) How much...

1) Suppose you invest $200 per month for a period of 30 years. a) How much money would you have at the end of the 30 year period, assuming that the yearly interest rate is 12% compounded monthly? You can assume that the payments are deposited at the end of each month. (Hint: write the amount accumulated in the bank for the first few months, and try to get a pattern our of that. ) b)Using the same approach indicate how much you would have at the end of 35 years?

2) A ball is dropped from a height of 10 ft. and bounces 5/7 of its former distance vertically, at each bounce. Find the total vertical displacement, if this pattern continues indefinitely. (For this question, count the vertical distance that the ball travels up and down as one vertical distance.)

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