Question

Suppose Katy borrowed some amount of money for 44 weeks and Anastasia borrowed the

same amount.

Katy’s loan used the simple interest model with an annual rate of 4.7% while Anastasia’s loan used the simple discount model with an annual discount of 8.2%. 

At the end of their respective terms, Katy’s maturity value was $5250 while Anastasia’s was $6020. 

How many weeks was Anastasia’s loan for?

Round your answer to the nearest week.

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