Arizona "association", "bank", "company", "corporation", "limited" or "incorporated" or an abbreviation of one of these words or the equivalent in a foreign language. Corporation may not use "bank", "deposit", "credit union", "trust" or "trust company" unless it also has a license to operate one. May not use "limited liability company" or "limited company" or the abbreviations "L.L.C.", "L.C.", "LLC", or "LC" § 10-401 Arizona Revised Statutes
Sole Proprietorship – A sole proprietorship, also known as a trader firm or proprietorship, is a business firm that is owned and run by one individual. A sole proprietor may use a trade name or business name other than his or her name. Registration not required – In summary, biggest advantage is quick formation and low compliance. However, the biggest disadvantage is unlimited liability.
Where the equipment you use in your business was acquired as a gift, you may report your estimate of its current market value on the Business Property Statement (that is, what you think it would sell for in the open market place). Enter that estimated value in the most current year's cost line and add a note indicating that the entry is an estimate.