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14. A colleague of yours tells you about a savings program at her local bank, which offers a favorable compound interest rate on a savings

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14. A colleague of yours tells you about a savings program at her local bank, which offers a favorable compound interest rate on a savings deposit, as long as you do not make too many withdrawals from the account in a given year. She says that with her savings account, she was able to double her initial deposit over the last eight years (she put in her deposit eight years ago and has not made any withdrawals from the account). She is curious about how long it might take for the value of her savings account to double a second time. Given the information she has provided, which of the following statements is correct regarding how long she'll have to wait for this to occur? A. The value of her savings account will double once again in exactly eight years, assuming she continues to leave her deposit untouched. B. It will take somewhat less than eight years for her account value to double a second time, due to the effects of compound interest. C. It will take somewhat more than eight years for her account value to double, given the diminishing returns of compound interest. D. Without knowing the exact rate she is receiving on her account, we cannot know how long it will take for the value of her bank account to double. E. Without knowing the exact amount she placed in her bank account initially, we cannot know how long it will take her account value to double. F. Both D and E are correct statements regarding the impossibility of assessing her future account value

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