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.
LLC members are not personally responsible for the company's debt or liability. S-Corp shareholders are not personally responsible for the company's debt or liability. C-Corp shareholders are not personally responsible for the company's debt or liability. Non-Profit directors are not personally responsible for organizational debt or liability. Sole Proprietors are personally responsible for debt and liability.
LP, Limited partnership: a partnership where at least one partner (the general partner, which may itself be an entity or an individual) has unlimited liability for the LP's debts and one or more partners (the limited partners) have limited liability (which means that they are not responsible for the LP's debts beyond the amount they agreed to invest). Limited partners generally do not participate in the management of the entity or its business.
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.