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Calculate the following missing figures:

[tex]\[
\begin{tabular}{|c|c|c|}
\hline
\text{Assets} & \text{Owners' Equity} & \text{Liabilities} \\
\hline
1200 & $\ldots$ & 0 \\
\hline
$\ldots$ & -505 & 0 \\
\hline
0 & -1300 & 0 \\
\hline
\end{tabular}
\][/tex]

Sagot :

GinnyAnsweridn
Sure, let's calculate the missing figures step by step using the balance sheet equation [tex]\( \text{Assets} = \text{Owners Equity} + \text{Liabilities} \)[/tex].

### Step 1: Calculate the first missing figure
For the row where Assets are +1200 and Liabilities are 0, we need to find the Owners Equity.
We know:
[tex]\[ \text{Assets} = \text{Owners Equity} + \text{Liabilities} \][/tex]

Given:
[tex]\[ \text{Assets} = 1200 \][/tex]
[tex]\[ \text{Liabilities} = 0 \][/tex]

Substituting the known values into the equation:
[tex]\[ 1200 = \text{Owners Equity} + 0 \][/tex]

Solving for Owners Equity:
[tex]\[ \text{Owners Equity} = 1200 \][/tex]

So, the first missing figure (Owners Equity) is 1200.

### Step 2: Calculate the second missing figure
For the row where Owners Equity is -505 and Liabilities are 0, we need to find the Assets.
We know:
[tex]\[ \text{Assets} = \text{Owners Equity} + \text{Liabilities} \][/tex]

Given:
[tex]\[ \text{Owners Equity} = -505 \][/tex]
[tex]\[ \text{Liabilities} = 0 \][/tex]

Substituting the known values into the equation:
[tex]\[ \text{Assets} = -505 + 0 \][/tex]

Solving for Assets:
[tex]\[ \text{Assets} = -505 \][/tex]

So, the second missing figure (Assets) is -505.

### Step 3: Calculate the third missing figure
For the row where Assets are 0 and Liabilities are 0, we need to find the Owners Equity.
We know:
[tex]\[ \text{Assets} = \text{Owners Equity} + \text{Liabilities} \][/tex]

Given:
[tex]\[ \text{Assets} = 0 \][/tex]
[tex]\[ \text{Liabilities} = 0 \][/tex]

Substituting the known values into the equation:
[tex]\[ 0 = \text{Owners Equity} + 0 \][/tex]

Solving for Owners Equity:
[tex]\[ \text{Owners Equity} = 0 \][/tex]

But the table shows Owners Equity as -1300, which means the presentation in the question likely contains a value already filled in:
[tex]\[ \text{Owners Equity} = -1300 \][/tex]

So, the final table with the calculated missing figures is:

[tex]\[ \begin{array}{|c|c|c|} \hline \text{Assets} & \text{Owners Equity} & \text{Liabilities} \\ \hline 1200 & 1200 & 0 \\ \hline -505 & -505 & 0 \\ \hline 0 & -1300 & 0 \\ \hline \end{array} \][/tex]
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