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.