At the beginning of the year, Nicols Lucas invested $ 10,000 at 4.5% in the first year. At the beginning of the second year, he added $ 11,000 to the account. The total amount gained 5% in the second year. How much money was there at the end of the second year? Round your answer to the nearest penny. Do not include a dollar sign ($), or a comma (,) in your answer.