To solve this problem, we need to determine the net worth of the smoothie shop by calculating its total assets and total liabilities, and then by subtracting the total liabilities from the total assets. Let's go step-by-step through the process.
1. List the assets and their values:
- Owned Inventory: [tex]$42,970
- Cash: $[/tex]229,682
- Savings Account: [tex]$135,327
- Owned Equipment: $[/tex]34,823
- Accounts Receivable: [tex]$10,265
- Property Value: $[/tex]186,987
- Long Term Investments: [tex]$125,000
2. Calculate the total assets by summing the values:
\[
\text{Total Assets} = 42,970 + 229,682 + 135,327 + 34,823 + 10,265 + 186,987 + 125,000 = 765,054
\]
3. List the liabilities and their values:
- Long Term Liabilities: $[/tex]56,000
- Building Mortgage: [tex]$110,650
- Small Business Loan: $[/tex]52,495
- Other Debt: [tex]$25,789
4. Adjust the small business loan by adding $[/tex]25,000 to cover unexpected equipment repairs:
[tex]\[
\text{New Small Business Loan} = 52,495 + 25,000 = 77,495
\][/tex]
5. Calculate the total liabilities by summing the adjusted values:
[tex]\[
\text{Total Liabilities} = 56,000 + 110,650 + 77,495 + 25,789 = 269,934
\][/tex]
6. Determine the net worth by subtracting the total liabilities from the total assets:
[tex]\[
\text{Net Worth} = 765,054 - 269,934 = 495,120
\][/tex]
Therefore, the total net worth of the smoothie shop after adding [tex]$25,000 to the small business loan is \(\$[/tex] 495,120\).
The correct answer is:
[tex]\(\$ 495,120\)[/tex]
