To determine the net worth of the landscaping company, we need to follow these steps:
1. Identify and sum up all the assets:
- Owned Inventory: \[tex]$48,760
- Cash: \$[/tex]126,790
- Savings Account: \[tex]$32,436
- Owned Equipment: \$[/tex]20,700
- Accounts Receivable: \[tex]$15,640
- Property Value: \$[/tex]225,678
Calculate the total assets:
[tex]\[
\text{Total Assets} = 48,760 + 126,790 + 32,436 + 20,700 + 15,640 + 225,678
\][/tex]
Adding these together:
[tex]\[
48,760 + 126,790 + 32,436 + 20,700 + 15,640 + 225,678 = 470,004
\][/tex]
So, the total assets are \[tex]$470,004.
2. Identify and sum up all the liabilities:
- Small Business Loan: \$[/tex]76,400
- Building Mortgage: \[tex]$189,429
- Other Debt: \$[/tex]16,970
Calculate the total liabilities:
[tex]\[
\text{Total Liabilities} = 76,400 + 189,429 + 16,970
\][/tex]
Adding these together:
[tex]\[
76,400 + 189,429 + 16,970 = 282,799
\][/tex]
So, the total liabilities are \[tex]$282,799.
3. Calculate the net worth:
\[
\text{Net Worth} = \text{Total Assets} - \text{Total Liabilities}
\]
Subtract the total liabilities from the total assets:
\[
470,004 - 282,799 = 187,205
\]
So, the net worth of the landscaping company is \$[/tex]187,205.
Given the options:
- \[tex]$126,790
- \$[/tex]187,205
- \[tex]$282,799
- \$[/tex]470,004
The correct answer is:
[tex]\[
\boxed{187,205}
\][/tex]
