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A person invested ?$8100 for 1? year, part at 6?%, part at 9?%, and the remainder...

A person invested ?$8100 for 1? year, part at 6?%, part at 9?%, and the remainder at 15?%. The total annual income from these investments was ?$930. The amount of money invested at 15?% was ?$100 more than the amounts invested at 6?% and 9?% combined. Find the amount invested at each rate. The person invested ?$ nothing at 6?%, ?$ nothing at 9?%, and ?$ nothing at 15?%.

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