Artificial Intelligence
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My bank adds deposits to my bank account the day after I deposit them and automatically charges me $100 a month in service fees on the 25th of each month. At the end of July my Bank Balance was $50,000. My contractor, Margo, hasn't cashed her check yet fo


To calculate your bank balance at the end of July after accounting for the details you've provided, we follow these steps: 1. **Starting Balance (End of July)**: $50,000 2. **Check for Contractor**: Margo has not cashed her check for $2,000, so this amount is still considered part of your balance. 3. **Deposit Made on July 31**: You made a deposit of $500. However, since your bank adds deposits the day after you deposit them, this deposit will not be available until August 1st. 4. **Monthly Service Fee**: The service fee of $100 will be charged on the 25th of the month, so this will not affect July's balance yet. Now we calculate the balance for July: - Your bank balance remains $50,000 since the deposit ($500) is not yet available and the service fee ($100) will apply in August. Therefore, at the end of July, your bank balance is still **$50,000**. Now let's review your choices: - A. 51500 - B. 48400 - C. 47900 - D. 48500 None of these options match your current situation, but if you were to adjust for the service fee in August, your balance would be $50,000 - $100 = $49,900. Let me know if you need further clarification or if there are more details to consider! Update (2025-08-26): To calculate your book balance at the end of July, you need to consider your bank balance, the pending check, and the service fee. Here’s the breakdown: 1. **Bank Balance at the end of July:** $50,000 2. **Uncashed Check for Margo:** -$2,000 (this amount is not yet deducted from your bank account because it hasn't been cashed) 3. **Deposit made on July 31:** +$500 (this amount will be added the next day, but won't affect your July book balance) 4. **Monthly Service Fee:** -$100 (this fee will be applied on the 25th of August, so it will not affect your July book balance) Now, let's calculate the book balance: \[ \text{Book Balance} = \text{Bank Balance} - \text{Uncashed Check} \] \[ \text{Book Balance} = 50,000 - 2,000 = 48,000 \] The deposit of $500 and the upcoming service fee don't impact this calculation since they are either pending or affect future transactions. Therefore, your book balance at the end of July is: \[ \boxed{48,000} \] Update (2025-08-26): To calculate your book balance at the end of July, consider the following: 1. **Ending Bank Balance**: $50,000 2. **Outstanding Check (to Margo)**: $2,000 (not yet cashed, so we subtract this from your balance) 3. **Deposit made on July 31**: $500 (will be added to the balance the next day, but since we are considering the end of July, we should not include this in the book balance for July) 4. **Service Fee**: $100 (will be charged on the 25th of the next month, August, so we do not subtract this from the July balance either) Using this information, we can calculate your book balance at the end of July as follows: \[ \text{Book Balance} = \text{Ending Bank Balance} - \text{Outstanding Check} \] \[ \text{Book Balance} = \$50,000 - \$2,000 = \$48,000 \] Therefore, your book balance at the end of July is **$48,000**.