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2. A man makes annual deposits into a bank account at the beginning of each year for 20 years. The initial deposit is equal to

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2. A man makes annual deposits into a bank account at the beginning of each year for 20 years. The initial deposit is equal to $1,000 with each subsequent deposit 10% smaller than the previous year's deposit. The bank credits interest at an annual effective rate of 5% for the first ten years and 4% for the next ten years. Find the accumulated amount in the account at the end of twenty years. (4 points)

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