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Help me solve this Theory of Interest problems. Please show work. Dave invests 10,000 now into a fund earning an annual effective rate of 8%.

Help me solve this Theory of Interest problems. Please show work.

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Dave invests 10,000 now into a fund earning an annual effective rate of 8%. The interest payments are reinvested in a separate fund earning an annual effective rate of 6%. Determine the total value of Dave's investment in 10 years. 1. Tim invests 1,000 at the beginning of each year into a fund earning a nominal annual rate of 8% convertible semiannually payable semiannually. The interest payments are reinvested in a separate fund earning an annual effective rate of 6%. Determine the total value of Tim's investment 10 years from now. 2. At time t-o, Rory investes 2,000 in a fund earning 8% convertible quarterly, but payable annually. He reinvestes each interest payment in individual separate funds each earning 9% convertible quarterly but payable annually. The earning payments from the separate funds are accumulated in a side fund that earns an annual effective rate of 7%. Determine the total balance of all funds at t- 10. 3

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