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
Depending on how your business is structured, the amount of revenue your business earns, and several other factors, forming an LLC can provide potential tax benefits for business owners. LLCs are allowed to choose how they want to be taxed, either as an S corporation or C corporation. These options are not available when you are operating as a sole proprietorship. LLCs don't pay their own taxes directly, the income of the business its passed on to the members of the LLC through "pass through taxation." This means that a member is subject to self-employment taxes, but at higher levels of income, the LLC can often pay a lower base tax rate than a C Corporation. The best way to determine your potential tax benefits is to consult an accountant.
On the other hand, if you are not responsible for its tax, then you should declare the equipment in Part III of the Business Property Statement (Equipment belonging to others). Where equipment is declared in Part III of the Business Property Statement, the Assessor will also send a Notice to File to the person reported as the equipment's actual owner.