Oppenheimer Bank is offering a $30-$year mortgage with an APR of $5\mathrm{.}04\%$ based on monthly compounding. With this mortgage your monthly payments would be $ $1$ comma $962$ per month. In$$ addition, Oppenheimer Bank offers you the following$$ deal: Instead of making the monthly payment of $ $1$ comma $962$ every$$ month, you can make half the payment every two weeks$($so that you will make $52$ divided by $2$ equals $26$ payments per$$ year$).$ With this$$ plan, how long will it take to pay off the mortgage if the EAR of the loan is$$ unchanged?

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Part $1$

The number of payments will be $\_\_\_$ which is approximately$\_\_\_$ years

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