You take an offer for a $30-$year mortgage of $$160,000.$ The Bank of Montreal offers you the

following deal: instead of making the monthly payment of $$991\mathrm{.}82$ every month, you can make half the

payment every two weeks $($so that you will make $522=26$ payments a year$).$ How long will it take to

pay off the mortgage if the EAR on the loan is $6\mathrm{.}50\%?($Note: Be careful not to round any intermediate

steps less than six decimal places.$)$

The amount of time to pay off the loan is

weeks. $($Round to the nearest integer.$)$