I need the correct answer, as well as the work shown. I have attached an image.

1. Suppose the price of a good is $100 at the beginning of the year. Suppose also that the price of this good increases at exactly the same rate as inflation. If the inflation rate is 10% per month (getting 'one tenth- again' larger each month), approximately how much will this good cost at the end of the year? a. $1 10 b. $220 c. $230 d. $256. e. $314