The accounting system shall embrace accounts showing all sources of income, the amounts due, collected and received from each source, including all fees collected by county officers whether turned into the county treasury or not, the amount expended for each purpose, bills, and accounts payable; the receipt, use, and disposition of other public property and the income, if any, derived from them. The accounting system shall include other forms of accounts as the state treasurer may consider wise and essential to efficient financial administration of public affairs pertaining to county governments.