American English will accept both. You will find that Americans tend to use both anyways and anyway in their speech. But they do not accept anyways in formal writing. The second sentence will be unacceptable in writing.
By using this page, you can increase your vocabulary faster and more easily than you may realize. You can, in fact, accomplish a tremendous gain in your communication skills in less than two to three months of concentrated effort, even if you go at your own speed of a page a day.
Furthermore, you can start improving your vocabulary immediately and within a few days you can be cruising along at such a rapid rate that there will be an actual change in your thinking, in your ability to express your thoughts and in your power of understanding.
COURTESY : The Hindu (The National News-Paper) - India