$($Annuity number of periods$)$ You've just bought a new flat$-$screen TV for $$3,600$ and the store you bought it from offers to let you finance the entire purchase at an annual rate of $12$ percent compounded monthly. If you take the financing and make monthly payments of $$130,$ 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.$)$