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Suppose Fred borrowed $5,692 for 39 months and Joanna borrowed $4,077. Fred's loan used the simple discount model with an annual rate of 7.7% while

Suppose Fred borrowed $5,692 for 39 months and Joanna borrowed $4,077.

Fred's loan used the simple discount model with an annual rate of 7.7% while Joanne's loan used the simple interest model with an annual rate of 9.8%.

If their maturity values were the same, how many months was Joanna's loan for?

Round your answer to the nearest month.

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