Midwest Bank is offering a $25-$year mortgage with an APR of $6\%$ based on monthly compounding. With this mortgage, your monthly payment would be $$3600$ per month. In addition, Midwest Bank offers you the following deal: Instead of making the monthly payment of $$3600$ every month, you can make one fourth of the payment every week $($so that you will make $52$ payments per year$).$ With this plan, how long will it take to pay off the mortgage if the EAR of the loan is unchanged?