New York Shall contain the word "corporation", "incorporated" or "limited", or an abbreviation of one of such words; there is also a long list of words a business corporation is not allowed to use without additional approval from other agencies including "board of trade", "state police", "urban development", "chamber of commerce", "state trooper", "urban relocation", "community renewal", "tenant relocation", "acceptance", "endowment", "loan", "annuity", "fidelity", "mortgage", "assurance", "finance", "savings" and many others New York State Consolidated Laws, Business Corporations Law § 301; Not-For-Profit Corporations Law, § 301

Limited liability companies can raise money via banks and investors but cannot sell stocks. S-Corps can get loans from banks, as well as distribute stock to up to 100 people. C-Corps have the easiest time raising capital as there is no cap on how many people can own stock. Non-Profits can both get loans and receive tax-deductible donations. Sole Proprietorships can occasionally receive bank loans but cannot sell stocks.

LLCs are typically taxed on a pass through basis, much like general partnerships. As pass through entities, the profits and losses of LLCs are passed on to the individual owners and are reflected on the owner’s personal income tax returns. Alternatively, LLCS may elect to be taxed as S corporations to potentially reduce the self-employment taxes imposed on the owners.
Unlimited company (or Welsh (cwmni) anghyfyngedig). There is no limit on the liability of its members. It is not a requirement under company law to add or state the word or designation Unlimited or its abbreviations (Unltd., or Ultd.) at the ending of its legal company name, and most such companies do not do so. Unlimited companies are exempted from filing accounts with the Registrar of Companies for public disclosure, subject to a few exceptions (unless the company was a qualified subsidiary or a parent of a limited company during the accounting period).

Nevada No specific requirements stated except that a name appearing to be that of a natural person and containing a given name or initials must not be used as a corporate name except with an additional word or words such as "Incorporated", "Limited", "Inc.", "Ltd.", "Company", "Co.", "Corporation", "Corp.", or other word which identifies it as not being a natural person 78.035 Nevada Revised Statutes

Idaho "corporation", "incorporated", "company", "limited", or the abbreviation "corp.", "inc.", "co.", or "ltd.", or words or abbreviations of like import in another language; provided however, that if the word "company" or its abbreviation is used it shall not be immediately preceded by the word "and" or by an abbreviation of or symbol representing the word "and" § 30-1-401 Idaho Statutes

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.