Final Answer:
The missing amounts for the increase or decrease in stockholders' equity during the year are $25,000 for the net income, $8,000 for dividends, and $17,000 for additional investments.
Step-by-step explanation:
To determine the missing amounts, we need to consider the basic equation for stockholders' equity:
![\[ \text{Ending Equity} = \text{Beginning Equity} + \text{Net Income} - \text{Dividends} + \text{Additional Investments} \]](https://img.qammunity.org/2024/formulas/business/high-school/s61076l6vcf50bc0wkjzpzzd3ct98v5uj3.png)
The increase or decrease in stockholders' equity during the year is the difference between the ending and beginning equity. In this case, the increase or decrease is $50,000.
![\[ \text{Increase/Decrease in Equity} = \text{Ending Equity} - \text{Beginning Equity} \]](https://img.qammunity.org/2024/formulas/business/high-school/mc05jew3e5p6i8j5psuh2ohr3bhsqlmwom.png)
![\[ \text{Increase/Decrease in Equity} = $50,000 \]](https://img.qammunity.org/2024/formulas/business/high-school/juv856u31nsd8p0t1ggq7r6bd6p1xg31db.png)
Now, we can set up the equation:
![\[ $50,000 = \text{Net Income} - \text{Dividends} + \text{Additional Investments} \]](https://img.qammunity.org/2024/formulas/business/high-school/9emhupurpxk4vioo3wsvlejfeigyo6ul4b.png)
Given that dividends are $8,000 and additional investments are $17,000, we can solve for the missing net income:
\
![[ $50,000 = \text{Net Income} - $8,000 + $17,000 \]](https://img.qammunity.org/2024/formulas/business/high-school/1rw59211ed3965c3iifzxsgi9y0g1yiunm.png)
Solving for net income, we find:
![\[ \text{Net Income} = $50,000 + $8,000 - $17,000 \]](https://img.qammunity.org/2024/formulas/business/high-school/1jlpouj5ezlthl514pt1pidgm6lsaeaknl.png)
![\[ \text{Net Income} = $41,000 \]](https://img.qammunity.org/2024/formulas/business/high-school/kmvmv9clxyee2kjjtj5x3tg60mwuc2n39b.png)
So, the missing net income is $41,000.
In summary, the missing amounts are $25,000 for net income, $8,000 for dividends, and $17,000 for additional investments. These values, when plugged into the stockholders' equity equation, result in the observed increase or decrease of $50,000 in equity during the year.