The Accounting Cycle for Governmental Funds and Account Groups

Examples and demonstrations for chapter V of Financial Reporting in Government
By Dr. John Sacco , George Mason University
Revised Saturday, January 19, 1997

Exercises and Demonstrations


Overview

This part of the study aides includes a number of sections designed to support and embellish concepts or ideas on the accounting cycle that appears in chapter 5.

In some cases this section offers practice on a particular issue; in other cases, the material is presented in demonstration format. Those section that permit practice are are marked (ex for exercise); those that are demonstrations are marked (demo).

Topics

The subtopics of the accounting cycle covered in exercises and demonstrations include several different items. At the end of each section is a return button that leads back to this list or menu of topics.

  • scrambling and unscrambling the elements of the cycle (ex)
  • the accounting equation (ex)
  • journal entries using debts and credits (ex)
  • business examples of the accounting cycle (demo)
  • entering the budget via subsidiary ledgers (demo)
  • journalizing salary entries (demo)
  • the difference between government and business accounting for spending (demo)
  • adjusting entries and matching for business accounting (demo)
  • use of encumbrance for compliance (demo)
  • posting and keeping track of journal entry results (demo)
  • One can go through these sequentially or use the buttons to select specific exercises and demonstrations. Additionally, the exercises and demonstrations are given indentifying numbers such as 5XD-1 for exercise and demonstration 1. Thus, assignments can be made by identifying numbers

    5XD-1.

    Scrambling

    and unscrambling the elements of the cycle (ex)

    Below in the left column is a list of the elements of the accounting cycle but scrambled. In the middle is room for reordering.

    Also below is a button for requesting the listing in its proper order. In doing the exercise, assume that everything in the cycle occurs in blocks and that one block most be completely finished before another started. For example all the budget or actual entries are made before the next step is undertaken. Just print out this page and try the scrample as pencil and paper exercise.

    scrambled                 unscrambling 
    entries are posted               ?             
    budget is authorized             ?           
    financial statements             ?            
    actual entries journalized       ?          
    budget placed into books         ?        
    adjusting entries made           ?          
    closing entries                  ?            
    
    See Proper Order for the answer to this accounting cycle exercise.

    Return to exercise and demonstration menu.

    The accounting equation (ex)

    Fill in the blank for the following accounting equations. Again, just print out the appropriate pages and try the exercise as a pencil and paper exercise. A button to answer is provided below.

    A complete accounting equation might look like this:
    
                    A        =        L        +       FB
               50,000            20,000            30,000
    
    5XD-2. Name each component:
    A        __________________
    L        __________________
    FB       __________________
    
    
    5XD-3. Give the correct value for each question mark (?).
                    A        =        L        +       FB
               10,000                 ?             3,000
    
                    A        =        L        +       FB
                    ?            10,000            13,000
    
                    A        =        L        +       FB
               30,000            10,000                 ?
    
    5XD-4. Give an example of each element.
    
    A        __________________
    L        __________________
    FB       __________________
    
    
    5XD-5. Which fund described below via the accounting equation is
    in better financialcondition? Explain your
    answer.
    
    1)              A        =        L        +       FB
              100,000            90,000            10,000
    
    2)              A        =        L        +       FB
              100,000           101,000            (1,000)
    
    For answers to this exercise on accounting equations see the section onequation answers

    Return to exercises and demonstration menu.

    Journal entries using

    debits and credits (ex)

    A typical entry, presented in manual style, is:
    
    date     {account}               dr       cr
    1/2/x0   cash               100,000
                      revenue            100,000
    
    Make the entries for the following {transactions}, assuming the
    general fund.
    
    5XD-6. On 1/15/x0, the {fund} collect fees   $50,000.
    
    
    
    
    5XD-7. On 2/1/x0 the fund paid wages of     $40,000.
    
    
    
    
    
    5XD-8. On 2/28/x0 the fund closed the actual accounts.
    
    
    
    
    See journal entry answers for assistance with this exercise.

    Return to exercises and demonstration menu.

    Business examples of the accounting cycle

    For an example of using the accounting cycle for a business see the illustration below. It first uses the accounting equation to track the transactions and assess the success and conditions of a business. It then uses debits and credits.

    Assume that a unit has cash of $10,000 and that the sources of this cash come from a short term loan or liability of $5,000 and equity from profits of $5,000. For simplicity, the exercise assumes no interest due or charged. The accounting equation to represent this business situation is:

             Assets            Liabilities       Equity
                 A        =        L        +        E
               10,000             5,000             5,000
    
    During some period, the unit has three transactions.
    It buys products to sell, paying       1,000
    It sells the products for              1,500
    It pays wages of                         300
    
    These transactions and the impact they have on the financial situation of the unit can be conveyed simply by using the accounting equation or using debits and credits. Both approaches will yield the same results since the debits and credits are derived from the accounting equation. Below is the accounting equation approach.

    Beginning             A        =        L        +        E
                        10,000             5,000             5,000
    pays for products   (1,000)
    new inventory        1,000
    
    sells product        1,500                               1,500
    inventory decrease  (1,000)                             (1,000)
    
    pays wages            (300)                               (300)
    
    Ending                A        =        L        +        E
                        10,200             5,000             5,200
    
    
    In the first transaction, cash is reduced by $1,000 and the inventory of products is increased by $1,000 when the firm pays $1,000 for the goods.

    In the second transaction cash is increased by $1,500 and expense (or cost of goods sold) are also included in this second transaction by the $1,000 decrease in assets and $1,000 decrease in equity. Expenses decrease equity. Recall that equity handles both revenues and expenses and in this case the cost of the inventory is now an expense because it was sold.

    In the third transaction, cash is decreased by $300 as the unit pays out the money and equity decreases by $300 since an expense (a wage expense in this case) decreases equity. Now, examine the effects of the transactions and what happens in using the accounting equation to track these transactions.

    First, note that the equality is maintained. The unit started with assets being equal to liabilities and equity and ends that way, namely, assets amount to $10,200 and when liabilities and equity are added they too equal $10,200 Second, all the transactions are handled by the equation. Each transaction involves assets, liabilities, and equity and the equation is made up of these elements. Third, the unit has grown and apparently prospered; its assets and equity are larger. Assets are now $10,200 compared to $10,000 and equity is $5,200 compared to $5,000 In other words the unit made or earned $200 since it had revenues of $1,500 and expenses of $1,300 However, the unit still has that liability of $5000 which it has not addressed. All the financial statements could be derived, although that would require extracting a good deal of detail from the data in the equation. For example, equity would have to be broken into revenue and expense to generate the income statement. The same detail break down would be needed for assets and liabilities to produce a balance sheet.

    The tracking for these transactions could be done by using debits and credits, but that can be more involved than the use of the accounting equation since each individual journal entry needs to be transferred into a summary account then into the financial statements. A simple debits and credits demonstration is given below without producing the financial statements.

    The beginning accounts include:
    cash                                  10,000
    current liabilities or payables         5,000
    owners equity                          5,000
    
    The following are the journal entries for the several
    transactions.
    
    inventory            1,000
             cash                 1,000
    The unit buys products to resell.

    Inventory is debited since it is an asset and it is increased. Cash is credited since it is an asset and in this case it is decreased. Technically, this is a perpetual inventory system rather than a periodic inventory system since items are added and subtracted as they are bought and sold instead of being added or subtracted only at the end of the period.

    cash                 1,500
             revenue              1,500
    The unit sells the product.

    The asset cash is increased (a debit) as the unit takes in money on the sales. Revenue is increased by the sales which is handled by a credit.

    cost of goods sold   1,000
             inventory            1,000

    When the inventory is sold it is an expense (a debit) and of course the physical asset is gone so it is decreased and thus credited. Sale of inventory in a perpetual inventory system is called cost of goods sold.

    wages expense          300
             cash                   300

    Expenses is debited since expenses are part of equity and equity is debited when decreased. Cash, as an asset, is credited since in this case it is credited when decreased.

    These debits and credits can be used to see the impact on the unit. The most detailed way would be to go through the accounting cycle. For simplicity the values are summarized without the details of the cycle.

    Cash is increased by $200 and that is the only asset that changes from beginning to end. The increase in inventory is cancelled since it was sold. So assets increase by $200. Nothing happens to liabilities. The liability is still $5,000 Equity increases by $200 since revenues exceeded expenses by that amount. The unit is slightly better off since it had a profit but it still has that large liability.

    Return to menu listing for exercises and demonstrations.

    Entering thebudget via subsidiary ledgers (demo)

    For the governmental funds, if the legislature enacts a budget, that budget must be must be entered into the accounts so that the actual can be compared with the budget. In this chapter and other chapters the budget has been placed in accounts with one complete entry. In part, this "one complete entry approach" is gaining use in government because of the availability of computers. All the details of the budget can be placed in one completed entry since computers are capable of handling considerable amounts of detail. Prior to the widespread use of computers, the major categories for revenues and appropriations were placed into the accounts and the details where placed in what are called subsidiary ledgers. One advantage of subsidiary ledgers is that individual employees could take responsibility for these subsidiary ledgers without being overwhelmed by all the detail. The subsidiary ledgers offered a division of labor. Below the one complete ledger method is contrasted with a subsidiary approach.

    In this instance the legislature adopts a budget of revenues and appropriations with each having several categories. This particular illustration comes from the general fund budget entry in lesson 3 of this chapter..

    The one complete budget entry would yield the following.
    
                                                       dr       cr
    estimated revenue - property tax              250,000
    estimated revenue - intergovernmental revenue  50,000
    estimated revenue - fees                       50,000
    estimated revenue - licenses                   25,000
    estimated revenue - fines                      25,000
                      appropriations - general administrat 100,000
                      appropriations - safety               75,000
                      appropriations - education           100,000
                      appropriations - housing               3,000
                      appropriations - sanitation           50,000
                      appropriations - recreation           25,000
                      transfer out - library                45,000
                      transfers out -debt service              625
                      transfer out - pension                 1,000
                      fund balance                             375
    
    
    With the subsidiary approach only the total for the broad categories (ie, estimated revenues, appropriations, and transfer out) would be given, with the details saved for the subsidiary ledgers.

                                                       dr       cr
    estimated revenue                             400,000
             appropriations                                353,000
             transfer out                                   46,625
             fund balance                                      375
    
    The estimated revenues, appropriations, etc. are called control accounts. With these so called control accounts in place the details are presented in the subsidiary ledgers. The main accounts are often called control accounts because the subsidiary accounts must add up to what is in the main or control account. Put another way the control accounts control what is in the subsidiary accounts.

    In this case, three subsidiary accounts would be needed.

    Subsidiary Ledger for estimated revenue: estimated revenue - property tax 250,000 estimated revenue - intergovernmental revenue 50,000 estimated revenue - fees 50,000 estimated revenue - licenses 25,000 estimated revenue - fines 25,000 Notice that the total in this estimated revenue is equal to the total in the estimated revenue control account that is, control total $400,000 and subsidiary total $400,000

    Subsidiary ledger for appropriations:
    appropriations - general administrat 100,000
    appropriations - safety               75,000
    appropriations - education           100,000
    appropriations - housing               3,000
    appropriations - sanitation           50,000
    appropriations - recreation           25,000
    
    Subsidiary ledger for transfers out:
    transfer out - library                45,000
    transfers out -debt service              625
    transfer out - pension                 1,000
    The subsidiary accounts are nothing more than the details that were placed in the one complete budget entry. The subsidiary method divides the labor but the subsidiary approach increases the coordination required. Whomever is responsible for the estimated revenue account would have to make sure that any legislative changes in estimated revenue during the year are recorded in both the subsidiary ledger, summed, then transferred or updated to the controlling ledger.

    Subsidiary ledgers are a generic concept and not limited to budget entries. For examples, subsidiary ledgers can be used for taxes receivable. The main or control account might have the amount for total property tax receivable but the subsidiary ledger would have all the accounts for individual properties. Thus, while subsidiary ledgers are demonstrated here for budgetary accounts they can be used in many circumstances.

    Return to the menu list of items for exercises and demonstrations.

    Journalizing salary entries (demo)

    In the lesson (for the most part) the journal entry for salary expenditures was simplified by limiting the entry to a debit to salary expenditure and a credit to either salaries payable or cash. Salary entries go beyond a debit to salary expenditure and a credit to cash. Salaries typical have many deductions and withholdings. Both the calculations and the entries can get complicated.

    The model for the salary entry is:
    
                                     dr       cr
    salary expenditure            gross
             deductions                  amounts
             cash                            net
    
    The deductions are liabilities since the government employer is just collecting the money to pay others, such as taxes to the Internal Revenue Service (IRS).

    A simple example, without any details would be,
    
                                     dr       cr
    salary expenditure           10,000
             deductions                    3,000
             cash                          7,000
    
    In this case the deductions, or liabilities, amount to $3,000

    Assume in the above example the deductions of $3,000 are as follows.

                                     dr       cr
    salary expenditure           10,000
             income tax withheld           1,500
             fica                          750
             health insurance                750
             cash                          7,000
    The specific liabilities are for income tax, social security (called fica, or federal insurance contribution act), and health insurance. The employer must follow rules on how much to deduct and when to pay the amounts to the appropriate entities. More and more of this type tax information is on the Internet. For example there is a Payroll tax site on the Web with background information and forms.

    In this illustration, the gross salary is $10,000 but only $7,000 goes to the employees. The $3,000 goes to the other entities that demand or contract for these amounts. Income tax withheld might go to the IRS; FICA to the Social Security Administration; and health insurance to a particular provider (Blue Cross or Aneta, eg).

    The above entry is just a sample; the actual rules are far more complex. Imagine the calculations that can go into estimating withholding income tax for a given employee.

    In addition to the salary paid to the employees and the deductions taken, the employer must also pay a variety of employer taxes. That general entry might be:

                                     dr       cr
    employer tax expenditure        $$$
             taxes payable                   $$$
    
    Below is an illustration with two specific taxes an employer might have to pay.

                                     dr       cr
    employer tax expenditure        875
             fica payable                    750
             unemployment payable            125
    
    Here the employer pays a total tax of $875 with $750 going to social security and $125 going for an unemployment pool.

    Return to menu of topic listings for the exercise and demonstration section.

    The difference between government and business accounting for spending (demo)

    In business accounting, one of the goals or objectives is to match all the costs required to earn the revenue of the period. This is called accrual accounting or sometime full accrual accounting for emphasis. Matching effort with earnings to determine if there was a profit for the period is critical to accrual accounting. Thus if $10,000 of supplies are purchased, the amount, at the time of the purchase, is an asset. As the supplies are used, presumably to help earn the revenue, the assets become an expense. If more supplies are used than money brought in via revenue, then the firm has a loss under the accrual and matching approach.

    The following entries show the accrual process, with the expensing of an asset.

                            dr       cr
    supplies            10,000
             cash                10,000
    The supplies are an asset. The debit means the asset was increased by $10,000. The credit to cash means that the asset cash was decreased by the same amount to buy the asset.

    supplies expense     5,000
                      supplies    5,000
    Supplies are used in the course of business in order to earn revenue. As the supplies are used they are expensed. This entry shows a debit for supplies expense. The debit decreases equity. Supplies are credited to show the asset is decreased.

    cash                 6,000
                      revenue     6,000
    The use of the supplies brings in revenue.

    At the end of the cycle or process the firm show that revenues ($6,000) exceeded expenses ($5,000) and that some assets are left over for next period. In this case $5,000 in supplies have not been used and carried over as assets for the next period.

    In governmental fund accounting, the objective is to see whether the inflows of money was sufficient to cover the outflow. No effort is made to match revenues with expenses (ie, use of assets). The approach is sometimes referred to flow of financial resources since the emphasis is on cash and other types of financial or expendable resources. The following illustrates the balancing of inflows with outflows.

                                     dr       cr
    cash                          6,000
             revenue                       6,000

    The fund collects $6,000 in revenues. The asset cash increases so it is debited. Revenue increases fund balance (similar to equity) so it is credited.

    supplies expenditures         6,000
             cash                          6,000
    The fund spends the $6,000 and immediately recognizes an expenditure even though the supplies have not been used and are still, in essence, an asset since they have future economic benefit. The expenditure decreased fund balance (similar to the equity account) and is debited. Cash is deceased and is credited.

    In this case there is a perfect balance between the inflows and the outflows without any effort to determine if the use of the supplies helped to earn enough revenue to cover the expenses. Six thousand came in as cash revenue and went out as cash expenditure.

    Governmental funds take this inflow-outflow approach since these funds are concerned with what can be expended for acquisition of resources. Since supplies cannot be expended to buy more assets they are immediately classified as an outflow, in this case an expenditure. Governmental funds can, however, recognize, that they have supplies on hand by offsetting the supplies not used with a reserver for supplies in the fund balance section of the balance sheet.

    Assume that half of the $6,000 purchased for supplies only half were used. The statement of revenues, expenditures and changes in fund balance would show the expenditure of $6,000 but in the balance sheet, a reserve for supplies of $3,000 lets the legislature (and other interested parties) know that supplies still existed and that the amount in the reserve did not have to be spent again.

    In short business waits until an asset is used before they expense it while governmental fund often create an expenditure as soon as the asset cost is paid. Business matches revenues against the effort or expenses that was incurred to create the revenue, with aim of measuring profit; government compares inflows against outflows to determine if the two balance.

    Of course, as with most topics there are options and alternatives. Governmental funds can take an expenditure as soon as supplies are purchased or use a system similar to the business approach of waiting until the supplies are used to record an expenditure. One of these is called the purchase method; the other, the consumption method.

    Return to menu of topic listings for the exercise and demonstration sections.

    Adjusting entries and matching for business accounting (demo)

    Whenever the word matching is used, the focus is on business or business type accrual accounting. With matching, adjusting entries are used to make sure that all costs and revenues of the period are matched, particularly those that were not recorded for some reason or where recorded, but need to be updated.

    The following offers an example of the matching and adjusting process for business accounting. A journal entries are made to show the operations of a firm. Then the adjusting entries are recorded to make sure all costs are matched against all revenue. Assume the firm begins the period with $2,000 in cash and the source of this cash is equity (consider the equity came from revenue exceeding costs)

    cash                 7,000
             unearned revenue  
    7,000
    The firm collects $7,000, promising to deliver $7,000 worth of work and products. Notice that the firm has not yet done the work and thus has not earned the revenue. As a result, the firm actually has a liability -- unearned revenue.

    machine              5,000
             cash                 5,000
    A machine, and asset, is purchased for $5000.

    supplies             4,000
             cash                 4,000
    Supplies are purchased buy on credit.
    These entries show the movement of money, the acquisition of of assets, and in one case, the incurrence of a liability. They do not show the earning process. In this case it will take the adjusting entries to show the matching, that is, to give a picture of the earning process.

    unearned revenue              7,000
             revenue                       7,000
    The firm does the work and now can claim that it earned the revenue.

    depreciation expense 1,000 accumulated depreciation 1,000 The machine was used for the period (one year) to help earn the revenue. The assumption here is that the machine has a useful life of five periods ($1000 per period) with no salvage value. Thus, $1000 is allocated to this year and the expenses incurred to earn the revenue of the year.

    supplies expense              4,000
             supplies                      4,000
    All the supplies were used in the earning process.

    Overall the firm was successful on an accrual basis since more revenue was earned ($7,000) than expenses incurred (5000). However, notice that more cash ($9,000) went out than revenues earned ($7,000) for this period. Of course one must presume that the firm had cash from previous periods. Prior to the beginning of the period the accounting equation might have been:

    
             A        =        L        +        E
       2,000                                        2,000
    with the asset being in the form of cash.
    
    Then the firm earned          $7,000 in cash and
    spent       $9,000 for a machine and supplies.
    But of the           $9,000 spent only           $5,000
    was used to earn the revenue, leaving a profit of
       $2,000. As a result it is necessary to look at the income
    statement
    and balance sheet as well as other statements to get a good
    picture of performance. The new accounting equation can help with
    these judgments on performance and is represented below:

             A        =        L        +        E
         4,000                                 4,000
    All the cash was spent but the firm now has $4,000 in un allocated or undepreciated equipment. Presumably this equipment will help earn revenues in the future. The firm has $4,000 in equity -- $2,000 from prior efforts and $2,000 from this period.

    The adjusting entries played a key role in helping to match all costs with all the revenue the cost served to produce.

    Return to the menus of topic listings for exercises and demonstration section.

    Use of encumbrance for compliance -- (demo)

    The encumbrance process is designed to prevent overspending in a given budget appropriation category, often within a governmental funds. For instance, the total allowed for health might be $150,000. Assume that health salaries take up $100,000 of the amount. At this point it appears that $50,000 is left. But what if a large purchase order for $25,000 were made and not communicated to others in the organization. Someone might think that the balance is $50,000 when in fact a large part of that $50,000 will in all likelihood be spent. If another purchase order is made for $30,000 then the unit might end up overspending. As a result the encumbrance process was developed to deduct the amount for purchase orders from authorized amounts to keep track of how much is uncommitted.

    Following is an illustration of the above facts using no encumbrance and using an encumbrance with the above information, that is, $150,000 has been authorized, $100,000 will go toward salaries and two offices have made orders for $25,000 and $30,000.

    No encumbrance - health appropriation
    Total authorized   150,000
    salary             100,000
    available           50,000
    
    outstanding orders
    orders              55,000
    
    over(under)         (5,000)
    
    Encumbrance - health                available
    Total authorized   150,000           150,000
    salary             100,000            50,000
    order 1             25,000            25,000
    
    At this point the unit wanting to make an order for $30,000 knows that such an order would lead to overspending. In this fashion the encumbrance process subtracts orders as soon as they are made rather than waiting until the goods or services are delivered and the bill presented. Encumbrance is an integral part of compliance accounting, wherein governmental units cannot legally overspend legislature authorization.

    In actuality legislatures have moved away from detailed line item type budgets where the encumbrance process was considered a necessity to prevent illegal acts of overspending or spending for items not authorized.

    Legislatures give more flexibility to administrators by allowing administrators to move money, within limits, among categories within a fund. Such flexibility does not mean that encumbrances are no longer necessary. Encumbrances are needed in a compliance environment. But now the limits on spending for a given functional area or object are often set by administrators as spending guides instead of legal mandates. For example, if spending and commitments are pushing the ceiling on a functional area, administrators often have the authority to shift money from one function to another.

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    Posting and keeping track of journal entry results -- (demo)

    The debits and credits of journal entries are crucial to keeping track of the relevant financial transactions and events. However, the journal entries are in chronological order, and, as a result, provide no summary information on the status of each account such as cash, vouchers payable, or revenues from a particular sources. Here is where the posting process adds summary information for each account within a fund. In the posting process a search is made of all the journal entries, picking data account by account, and summarizing how much was added to and subtracted from a particular account, such as cash.

    Consider this simple example to show how posting provides summary data on interest revenue and cash. The individual journal entries are given then posted for these two accounts.

    journal entries
    cash                        250,000
             revenues                    250,000
    Cash is increased by collection of revenues.
    short term investments      100,000
             cash                        100,000
    Some of the cash is taken out of the cash account and invested in a short term investment that pays 6.00% interest on an annualized basis or 0.50%(ie, .06/12) every month. The fund intends to keep the investment for 6 months. The fund accruals the interest each month. Interest is actually paid every three months. For simplicity, no compounding is done, ie, the interest is calculated on the principal and only the principal.

    interest receivable             500
             interest revenue                500
    Accrued interest for one month, ie, ($100,000 * (.06/12)) = $500
    interest receivable             500
             interest revenue                500
    The same as above for the next month.
    cash                          1,500
             interest revenue                500
             interest receivable           1,000
    Interest is paid at the end of three months. The interest receivable is reduced. Interest revenue is recognized for the third month.

    Notice, there is no summary information on any of the accounts. How much is in cash and in interest revenue? Posting from the journal entries to the accounts will provide that summary information. Cash is presented first.

             Cash     balance
       dr       cr
     250,000           250,000
              100,000  150,000
       1,500           151,500
    
    The summary cash account is something a manager can scan and read; there is a balance of $151,500 in it at the end of three months. The journal entries are critical for keeping day to day track but the posting is essential for managerial interests. It is necessary to be able to pull up an account at any time to see the status.

    The interest revenue account is next.

        Interest revenue        balance
          dr       cr
                  500               500
                  500             1,000
                  500             1,500
    
    Again, examining the interest revenue account is easier than trying to figure out summary data from the journal entries.

    Reading the accounts is not without its technical complexity. In the above illustration, dr (debits) and cr (credits) are still shown and can engender confusion. But these technical aspects can be filtered out with only the balances presented. Return to the menu of topic listings in the exercise and demonstration section.

    Proper order for the accounting cycle as requested in the scramble exercise is given below:

    • budget is authorized
    • budget place into books
    • actual entries journalized
    • adjusting entries made
    • entries are posted
    • financial statements prepared
    • closing entries
    Return to exercise and demonstration menu.

    accounting equations answers Answers to accounting equation exercise will go here.

    Return to exercise and demonstration menu.

    journal entry answers

    Journal entry answers will go here.

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    See Also: homework , project elements , course readings , the glossary , stories , and a summary