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3. (9 points) A certain company had a profit of $78,000 last year and expects its profits to increase by 8% ea year over the

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3. (9 points) A certain company had a profit of $78,000 last year and expects its profits to increase by 8% ea year over the next six years. They plan to continuously reinvest 4% of their profits into an account earni 3.9% interest compounded continuously. Use appropriate notation to answer each of the following. (a) Give the flow rate equation describing the flow of money into the investment account. R(t) (b) How much money will the company invest over the next six years? (c) How much will the account be worth in six years? (d) How much will the company earn in interest over the next six years

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