To determine the carpenter's net worth, we need to follow these steps:
1. Calculate Total Assets: Add up all the values of the carpenter's assets.
[tex]\[
\text{Total Assets} = \text{Home Value} + \text{Owned Work Equipment} + \text{Car Value} + \text{Investments}
\][/tex]
Plug in the given values:
[tex]\[
\text{Total Assets} = 175,742 + 3,365 + 44,346 + 61,225 = 284,678
\][/tex]
2. Calculate Total Liabilities: Add up all the amounts the carpenter owes.
[tex]\[
\text{Total Liabilities} = \text{Mortgage} + \text{Credit Card Balance} + \text{Truck Loan}
\][/tex]
Plug in the given values:
[tex]\[
\text{Total Liabilities} = 76,765 + 2,055 + 66,408 = 145,228
\][/tex]
3. Calculate Net Worth: Subtract the total liabilities from the total assets.
[tex]\[
\text{Net Worth} = \text{Total Assets} - \text{Total Liabilities}
\][/tex]
Plug in the calculated totals:
[tex]\[
\text{Net Worth} = 284,678 - 145,228 = 139,450
\][/tex]
Therefore, the carpenter's net worth is [tex]\(\$ 139,450\)[/tex]. The correct option is:
[tex]\[
\$ 139,450
\][/tex]
