Analyzing the impact of different transactions on the account balance

Oct 13, 2025 by miodeya.com 75 views

Introduction

In this article, we will delve into the world of mathematics and explore the concept of account balances. We will use a real-life scenario to demonstrate how to calculate and analyze changes in an account balance over a period of time. Our protagonist, Isabelle, has $\$84.00$ in her account on Sunday and makes various deposits and purchases throughout the week. We will use a table to track her transactions and calculate her final balance.

The Transactions

Isabelle's account balance changes over the next week due to the following transactions:

Day	Debit ($)	Credit ($)
Mon	20.00
Tue		30.00
Wed	15.00
Thu		25.00
Fri	10.00
Sat		40.00
Sun

Calculating the Balance

To calculate Isabelle's final balance, we need to subtract the debits from the credits and add the initial balance.

Step 1: Calculate the Total Debits

The total debits are the sum of the debits on each day:

20.00 + 15.00 + 10.00 = 45.00

Step 2: Calculate the Total Credits

The total credits are the sum of the credits on each day:

30.00 + 25.00 + 40.00 = 95.00

Step 3: Calculate the Net Change

The net change is the difference between the total credits and the total debits:

95.00 - 45.00 = 50.00

Step 4: Calculate the Final Balance

The final balance is the sum of the initial balance and the net change:

84.00 + 50.00 = 134.00

Conclusion

In this article, we used a real-life scenario to demonstrate how to calculate and analyze changes in an account balance over a period of time. We used a table to track Isabelle's transactions and calculated her final balance. The total debits were 45.00, the total credits were 95.00, and the net change was 50.00. The final balance was 134.00.

Mathematical Concepts

This article demonstrates the following mathematical concepts:

Subtraction: We used subtraction to calculate the total debits and the net change.
Addition: We used addition to calculate the final balance.
Summation: We used summation to calculate the total debits and the total credits.

Real-World Applications

This article has real-world applications in the following areas:

Accounting: This article demonstrates how to calculate and analyze changes in an account balance over a period of time.
Finance: This article demonstrates how to calculate the net change in an account balance.
Business: This article demonstrates how to calculate the final balance in an account.

Future Research

Future research could include:

Analyzing the impact of different transactions on the account balance
Developing a model to predict the account balance based on past transactions
Investigating the use of mathematical models in finance and accounting

References

[1] Isabelle's account balance changes over the next week due to the following transactions.
[2] The total debits are the sum of the debits on each day.
[3] The total credits are the sum of the credits on each day.
[4] The net change is the difference between the total credits and the total debits.
[5] The final balance is the sum of the initial balance and the net change.
Isabelle's Account Balance: A Mathematical Analysis - Q&A =====================================================

Introduction

In our previous article, we explored the concept of account balances and used a real-life scenario to demonstrate how to calculate and analyze changes in an account balance over a period of time. We used a table to track Isabelle's transactions and calculated her final balance. In this article, we will answer some frequently asked questions related to Isabelle's account balance.

Q&A

Q: What is the initial balance in Isabelle's account?

A: The initial balance in Isabelle's account is $\$84.00$ .

Q: What are the total debits in Isabelle's account?

A: The total debits in Isabelle's account are 45.00, which is the sum of the debits on each day.

Q: What are the total credits in Isabelle's account?

A: The total credits in Isabelle's account are 95.00, which is the sum of the credits on each day.

Q: What is the net change in Isabelle's account?

A: The net change in Isabelle's account is 50.00, which is the difference between the total credits and the total debits.

Q: What is the final balance in Isabelle's account?

A: The final balance in Isabelle's account is 134.00, which is the sum of the initial balance and the net change.

Q: How do you calculate the total debits in an account?

A: To calculate the total debits in an account, you need to add up the debits on each day.

Q: How do you calculate the total credits in an account?

A: To calculate the total credits in an account, you need to add up the credits on each day.

Q: How do you calculate the net change in an account?

A: To calculate the net change in an account, you need to subtract the total debits from the total credits.

Q: How do you calculate the final balance in an account?

A: To calculate the final balance in an account, you need to add the initial balance to the net change.