$($Annuity number of periods$)$ You've just bought a new flat$-$screen TV for $\backslash (\backslash$$ $3,400\backslash )$ and the store you bought it from offers to let you finance the entire purchase at an annual rate of $11$ percent compounded monthly. If you take the financing and make monthly payments of $\backslash (\backslash$$ $110\backslash ),$ how long will it take to pay off the loan? How much will you pay in interest over the life of the loan? a$.$ The number of years it will take to pay off the loan is years. $($Round to one decimal place.$)$