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Sagot :
Let's break down the problem so that we can determine the assets, liabilities, and net worth of the landscaping business step-by-step.
### Step 1: Listing the Assets
First, we'll list and add up all the assets:
1. Owned Inventory: [tex]$30,500 2. Cash: $[/tex]75,420
3. Savings Account: [tex]$28,000 4. Owned Equipment: $[/tex]15,670
5. Accounts Receivable: [tex]$11,560 6. Investments: $[/tex]178,925
To find the total assets, we sum these amounts:
[tex]\[ \text{Total Assets} = 30,500 + 75,420 + 28,000 + 15,670 + 11,560 + 178,925 = 340,075 \][/tex]
### Step 2: Listing the Liabilities
Now, we list and add up all the liabilities:
1. Building Mortgage: [tex]$154,265 2. Small Business Loan: $[/tex]25,652
3. Credit Cards: [tex]$11,450 To find the total liabilities, we sum these amounts: \[ \text{Total Liabilities} = 154,265 + 25,652 + 11,450 = 191,367 \] ### Step 3: Calculating the Net Worth The net worth is calculated as the difference between the total assets and the total liabilities: \[ \text{Net Worth} = \text{Total Assets} - \text{Total Liabilities} = 340,075 - 191,367 = 148,708 \] ### Final Balance Sheet Putting it all together, the balance sheet for the landscaping business appears as follows: \[ \begin{array}{|l|r|} \hline \text{Assets} & \text{Amount} \\ \hline \text{Owned Inventory} & \$[/tex]30,500 \\
\hline \text{Cash} & \[tex]$75,420 \\ \hline \text{Savings Account} & \$[/tex]28,000 \\
\hline \text{Owned Equipment} & \[tex]$15,670 \\ \hline \text{Accounts Receivable} & \$[/tex]11,560 \\
\hline \text{Investments} & \[tex]$178,925 \\ \hline \text{Total Assets} & \$[/tex]340,075 \\
\hline
\end{array}
\]
[tex]\[ \begin{array}{|l|r|} \hline \text{Liabilities} & \text{Amount} \\ \hline \text{Building Mortgage} & \$154,265 \\ \hline \text{Small Business Loan} & \$25,652 \\ \hline \text{Credit Cards} & \$11,450 \\ \hline \text{Total Liabilities} & \$191,367 \\ \hline \end{array} \][/tex]
[tex]\[ \begin{array}{|l|r|} \hline \text{Net Worth} & \$148,708 \\ \hline \end{array} \][/tex]
This balance sheet correctly shows the assets, liabilities, and net worth of the landscaping business.
### Step 1: Listing the Assets
First, we'll list and add up all the assets:
1. Owned Inventory: [tex]$30,500 2. Cash: $[/tex]75,420
3. Savings Account: [tex]$28,000 4. Owned Equipment: $[/tex]15,670
5. Accounts Receivable: [tex]$11,560 6. Investments: $[/tex]178,925
To find the total assets, we sum these amounts:
[tex]\[ \text{Total Assets} = 30,500 + 75,420 + 28,000 + 15,670 + 11,560 + 178,925 = 340,075 \][/tex]
### Step 2: Listing the Liabilities
Now, we list and add up all the liabilities:
1. Building Mortgage: [tex]$154,265 2. Small Business Loan: $[/tex]25,652
3. Credit Cards: [tex]$11,450 To find the total liabilities, we sum these amounts: \[ \text{Total Liabilities} = 154,265 + 25,652 + 11,450 = 191,367 \] ### Step 3: Calculating the Net Worth The net worth is calculated as the difference between the total assets and the total liabilities: \[ \text{Net Worth} = \text{Total Assets} - \text{Total Liabilities} = 340,075 - 191,367 = 148,708 \] ### Final Balance Sheet Putting it all together, the balance sheet for the landscaping business appears as follows: \[ \begin{array}{|l|r|} \hline \text{Assets} & \text{Amount} \\ \hline \text{Owned Inventory} & \$[/tex]30,500 \\
\hline \text{Cash} & \[tex]$75,420 \\ \hline \text{Savings Account} & \$[/tex]28,000 \\
\hline \text{Owned Equipment} & \[tex]$15,670 \\ \hline \text{Accounts Receivable} & \$[/tex]11,560 \\
\hline \text{Investments} & \[tex]$178,925 \\ \hline \text{Total Assets} & \$[/tex]340,075 \\
\hline
\end{array}
\]
[tex]\[ \begin{array}{|l|r|} \hline \text{Liabilities} & \text{Amount} \\ \hline \text{Building Mortgage} & \$154,265 \\ \hline \text{Small Business Loan} & \$25,652 \\ \hline \text{Credit Cards} & \$11,450 \\ \hline \text{Total Liabilities} & \$191,367 \\ \hline \end{array} \][/tex]
[tex]\[ \begin{array}{|l|r|} \hline \text{Net Worth} & \$148,708 \\ \hline \end{array} \][/tex]
This balance sheet correctly shows the assets, liabilities, and net worth of the landscaping business.
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