Mike Went To The ATM To Take Out $\$ 20$ For The Movies. Later In The Day, He Transferred $\$ 36$[/tex\] To His Checking Account From His Savings Account. Complete Mike's Checking Account
Introduction
In this article, we will explore the concept of calculating a checking account balance using mathematical operations. We will use a real-life scenario to demonstrate how to perform these calculations. Our goal is to determine Mike's checking account balance after a series of transactions.
The Scenario
Mike went to the ATM to withdraw $20 from his checking account. Later in the day, he transferred $36 to his checking account from his savings account. We need to calculate Mike's checking account balance after these transactions.
Step 1: Initial Balance
Let's assume that Mike's checking account balance before the withdrawal is $x. We don't know the exact value of $x, but we will use it as a variable to represent the initial balance.
Step 2: Withdrawal
Mike withdraws $20 from his checking account. This means that the new balance is $x - $20.
Step 3: Transfer
Later in the day, Mike transfers x - $20) + $36.
Step 4: Calculate the Balance
Now, let's calculate the final balance by simplifying the expression:
($x - $20) + $36 = $x + $16
So, Mike's checking account balance after the withdrawal and transfer is $x + $16.
Conclusion
In this article, we used mathematical operations to calculate Mike's checking account balance after a series of transactions. We started with an initial balance of $x, withdrew $20, and then transferred $36 to the account. The final balance is $x + $16. This demonstrates how to use mathematical calculations to determine a checking account balance.
Mathematical Representation
Let's represent the calculation using mathematical notation:
Initial Balance = $x Withdrawal = -$20 Transfer = $36 Final Balance = $x + $16
Real-World Application
This calculation has real-world applications in finance and accounting. It demonstrates how to calculate a checking account balance using mathematical operations. This is an essential skill for anyone working in finance, accounting, or banking.
Example Use Case
Suppose Mike's initial balance is $100. We can calculate the final balance as follows:
Initial Balance = $100 Withdrawal = -$20 Transfer = $36 Final Balance = $100 + $16 = $116
In this example, Mike's checking account balance after the withdrawal and transfer is $116.
Tips and Variations
Here are some tips and variations to consider:
- What if Mike had withdrawn $50 instead of $20? How would the final balance change?
- What if Mike had transferred $50 instead of $36? How would the final balance change?
- What if Mike had a negative initial balance? How would the final balance change?
These questions demonstrate how to apply mathematical calculations to real-world scenarios. They also highlight the importance of considering different variables and scenarios when calculating a checking account balance.
Conclusion
Introduction
In our previous article, we explored the concept of calculating a checking account balance using mathematical operations. We used a real-life scenario to demonstrate how to perform these calculations. In this article, we will provide a Q&A guide to help you understand the concept better.
Q: What is the initial balance in Mike's checking account?
A: The initial balance is represented by the variable $x. We don't know the exact value of $x, but we will use it as a variable to represent the initial balance.
Q: What happens when Mike withdraws $20 from his checking account?
A: When Mike withdraws $20 from his checking account, the new balance is $x - $20.
Q: What happens when Mike transfers $36 to his checking account from his savings account?
A: When Mike transfers x - $20) + $36.
Q: How do we calculate the final balance?
A: To calculate the final balance, we simplify the expression:
($x - $20) + $36 = $x + $16
So, Mike's checking account balance after the withdrawal and transfer is $x + $16.
Q: What if Mike had a negative initial balance? How would the final balance change?
A: If Mike had a negative initial balance, the calculation would be different. Let's assume the initial balance is -$100. When Mike withdraws $20, the new balance is -$100 - $20 = -$120. When Mike transfers $36, the new balance is -$120 + $36 = -$84.
Q: What if Mike had withdrawn $50 instead of $20? How would the final balance change?
A: If Mike had withdrawn $50 instead of $20, the calculation would be different. Let's assume the initial balance is $100. When Mike withdraws $50, the new balance is $100 - $50 = $50. When Mike transfers $36, the new balance is $50 + $36 = $86.
Q: What if Mike had transferred $50 instead of $36? How would the final balance change?
A: If Mike had transferred $50 instead of $36, the calculation would be different. Let's assume the initial balance is $100. When Mike withdraws $20, the new balance is $100 - $20 = $80. When Mike transfers $50, the new balance is $80 + $50 = $130.
Q: How do we represent the calculation using mathematical notation?
A: We can represent the calculation using mathematical notation as follows:
Initial Balance = $x Withdrawal = -$20 Transfer = $36 Final Balance = $x + $16
Q: What is the real-world application of this calculation?
A: This calculation has real-world applications in finance and accounting. It demonstrates how to calculate a checking account balance using mathematical operations. This is an essential skill for anyone working in finance, accounting, or banking.
Q: What are some tips and variations to consider?
A: Here are some tips and variations to consider:
- What if Mike had a different initial balance? How would the final balance change?
- What if Mike had withdrawn or transferred a different amount? How would the final balance change?
- What if Mike had a negative initial balance? How would the final balance change?
These questions demonstrate how to apply mathematical calculations to real-world scenarios. They also highlight the importance of considering different variables and scenarios when calculating a checking account balance.
Conclusion
In conclusion, this Q&A guide provides a comprehensive overview of the concept of calculating a checking account balance using mathematical operations. We used a real-life scenario to illustrate the concept and provided examples and variations to demonstrate the application of mathematical calculations in finance and accounting.