In 1978, a New York State Assembly-woman wrote a letter to her constituents about electric rates. She wrote: "If the commission grants this increase, it will mean that between 1970 and 1987, the electric rates will have increased by more than 478 percent. That's an average rise of over 27 percent a year!" Is this correct? If not, what annual percent increase over 17 years leads to a total increase of 478 percent?

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In 1978, a New York State Assembly-woman wrote a letter to her constituents about electric rates. She wrote: "If the commission grants this increase, it will mean that between 1970 and 1987, the electric rates will have increased by more than 478 percent. That's an average rise of over 27 percent a year!" Is this correct? If not, what annual percent increase over 17 years leads to a total increase of 478 percent?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\[(1+r)^{27}=4.78\] solve for r

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