​You've just bought a new flat screen TV for ​$3 comma 000 and the store you bought it from offers to let you finance the entire purchase at an annual rate of 10​% compounded monthly. If you take the financing and make monthly payments of ​$107​, how long will it take to pay the loan​ off? How much will you pay in interest over the life of the​ loan? (That​ is, what is the difference between the total of all your payments and the amount of your payments that went toward your principal of $ 3 comma 000​?)