An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Calculate initial total assets: A i = $1 , 800 + $6 , 200 + $150 , 000 + $8 , 000 = $166 , 000 .
Calculate initial total liabilities: L i = $4 , 000 + $1 , 000 + $100 , 000 + $5 , 000 = $110 , 000 .
Calculate the difference: D i = A i − L i = $56 , 000 .
Paying off the car loan with investments does not change the difference between total assets and total liabilities, so the difference remains the same: The difference between the assets and the liabilities will remain the same.
Explanation
Initial Assessment Let's analyze Roberto's balance sheet to understand how paying off his car loan with his investments affects his overall financial position. We'll start by calculating his initial total assets and total liabilities.
Calculating Initial Total Assets Roberto's initial assets include cash, investments, his house, and his car. So, his total initial assets ( A i ) are: A i = $1 , 800 + $6 , 200 + $150 , 000 + $8 , 000 = $166 , 000
Calculating Initial Total Liabilities Roberto's initial liabilities include his credit card balance, personal loan, mortgage, and car loan. So, his total initial liabilities ( L i ) are: L i = $4 , 000 + $1 , 000 + $100 , 000 + $5 , 000 = $110 , 000
Calculating Initial Difference The initial difference ( D i ) between his assets and liabilities is: D i = A i − L i = $166 , 000 − $110 , 000 = $56 , 000
Calculating Final Total Assets Now, let's consider what happens when Roberto uses his investments to pay off his car loan. His investments decrease by $5 , 000 , and his car loan also decreases by $5 , 000 . His new total assets ( A f ) are: A f = A i − $5 , 000 = $166 , 000 − $5 , 000 = $161 , 000
Calculating Final Total Liabilities His new total liabilities ( L f ) are: L f = L i − $5 , 000 = $110 , 000 − $5 , 000 = $105 , 000
Calculating Final Difference The final difference ( D f ) between his assets and liabilities is: D f = A f − L f = $161 , 000 − $105 , 000 = $56 , 000
Determining the Change in Difference To find the change in the difference ( Δ D ), we subtract the initial difference from the final difference: Δ D = D f − D i = $56 , 000 − $56 , 000 = $0
Conclusion Since the change in the difference between assets and liabilities is $0 , the difference remains the same. Paying off a liability (car loan) by reducing an asset (investments) does not change the overall difference between total assets and total liabilities.
So, the correct answer is: The difference between the assets and the liabilities will remain the same.
Examples
Understanding balance sheets and how transactions affect them is crucial in personal finance. For example, imagine you're deciding whether to use your savings to pay off a credit card. By analyzing how this decision impacts your assets and liabilities, you can determine if it improves your overall financial health. This type of analysis helps in making informed decisions about debt management and investment strategies, ensuring a more stable financial future. In this case, Roberto's decision to use his investments to pay off his car loan doesn't change his net worth, but it might improve his cash flow and reduce his monthly expenses.
When an electric device delivers a current of 15.0 A for 30 seconds, approximately 2.81 × 1 0 21 electrons flow through it. This is calculated using the formula for total charge based on current and time, and then finding the number of electrons based on the charge of a single electron.
;
