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1. You are given the following table. Fill in the missing values.

\begin{tabular}{|c|c|c|c|c|}
\hline Ratio & Debt Ratio & Debt & Equity & Assets \\
\hline 0 & (1) & (2) & Br. 100,000 & (d) \\
\hline (b) & 0.5 & (g) & Br. 75,000 & (h) \\
\hline 1.5 & (i) & (e) & (7) & Br. 150,000 \\
\hline (j) & (k) & Br. 50,000 & (l) & Br. 175,000 \\
\hline
\end{tabular}


Sagot :

Certainly! Let's fill in the missing values step-by-step based on the information provided.

### Given Data:

1. First Row:
- Debt-Equity Ratio: [tex]\(0\)[/tex]
- Debt Ratio: [tex]\( (1) \)[/tex]
- Debt: [tex]\( (2) \)[/tex]
- Equity: [tex]\( Br. 100,000 \)[/tex]
- Assets: [tex]\( (d) \)[/tex]

2. Second Row:
- Debt-Equity Ratio: [tex]\( (b) \)[/tex]
- Debt Ratio: [tex]\( 0.5 \)[/tex]
- Debt: [tex]\( (g) \)[/tex]
- Equity: [tex]\( 75,000 \)[/tex]
- Assets: [tex]\( (h) \)[/tex]

3. Third Row:
- Debt-Equity Ratio: [tex]\( 1.5 \)[/tex]
- Debt Ratio: [tex]\( (i) \)[/tex]
- Debt: [tex]\( (e) \)[/tex]
- Equity: [tex]\( 75,000 \)[/tex]
- Assets: [tex]\( Br. 150,000 \)[/tex]

4. Fourth Row:
- Debt-Equity Ratio: [tex]\( (j) \)[/tex]
- Debt Ratio: [tex]\( (k) \)[/tex]
- Debt: [tex]\( Br. 50,000 \)[/tex]
- Equity: [tex]\( (l) \)[/tex]
- Assets: [tex]\( 175,000 \)[/tex]

### Calculated Values:

Row 1:
1. Debt-Equity Ratio [tex]\(= 0\)[/tex]
2. Equity [tex]\(= 100,000\)[/tex]
3. Since Debt-Equity Ratio = Debt / Equity, Debt = [tex]\(0 \times 100,000 = 0\)[/tex]
4. Total Assets [tex]\(= Equity + Debt = 100,000 + 0 = 100,000\)[/tex]
5. Debt Ratio [tex]\(= Debt / Assets = 0 / 100,000 = 0\)[/tex]

So, filled data for the first row is:
- Debt Ratio: 0
- Debt: 0
- Assets: 100,000

Row 2:
1. Debt-Equity Ratio = [tex]\( b \)[/tex]
2. Debt Ratio [tex]\(= 0.5\)[/tex]
3. Equity [tex]\(= 75,000\)[/tex]
4. Total Assets [tex]\(= Equity / (1 - Debt Ratio) = 75,000 / (1 - 0.5) = 75,000 / 0.5 = 150,000\)[/tex]
5. Debt [tex]\(= Total Assets - Equity = 150,000 - 75,000 = 75,000\)[/tex]
6. Debt-Equity Ratio [tex]\(= Debt / Equity = 75,000 / 75,000 = 1.0\)[/tex]

So, filled data for the second row is:
- Debt-Equity Ratio: 1.0
- Debt: 75,000
- Assets: 150,000

Row 3:
1. Debt-Equity Ratio [tex]\(= 1.5\)[/tex]
2. Debt [tex]\(= Debt-Equity Ratio \times Equity = 1.5 \times 75,000 = 112,500\)[/tex]
3. Total Assets [tex]\( = Debt + Equity = 112,500 + 75,000 = 187,500\)[/tex]
4. Debt Ratio [tex]\( = Debt / Assets = 112,500 / 187,500 \approx 0.6\)[/tex]

So, filled data for the third row is:
- Debt Ratio: 0.6
- Debt: 112,500
- Assets: 187,500

Row 4:
1. Debt [tex]\(= 50,000\)[/tex]
2. Total Assets [tex]\(= 175,000\)[/tex]
3. Equity [tex]\(= Total Assets - Debt = 175,000 - 50,000 = 125,000\)[/tex]
4. Debt Ratio [tex]\(= Debt / Total Assets = 50,000 / 175,000 \approx 0.2857\)[/tex]
5. Debt-Equity Ratio [tex]\(= Debt / Equity = 50,000 / 125,000 = 0.4\)[/tex]

So, filled data for the fourth row is:
- Debt-Equity Ratio: 0.4
- Debt Ratio: 0.2857
- Equity: 125,000

### Filled Table:

[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \text{Ratio} & \text{Debt Ratio} & \text{Debt} & \text{Equity} & \text{Assets} \\ \hline 0 & 0 & 0 & Br. 100,000 & 100,000 \\ \hline 1.0 & 0.5 & 75,000 & 75,000 & 150,000 \\ \hline 1.5 & 0.6 & 112,500 & 75,000 & 187,500 \\ \hline 0.4 & 0.2857 & Br. 50,000 & 125,000 & 175,000 \\ \hline \end{array} \][/tex]
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