Analyzing more complex transactions

Oct 13, 2025 by leolavanderia.com.br 4 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 the final balance of Anna's account after a series of deposits and purchases over the course of a week.

The Initial Balance

Anna starts with a balance of $274.00 in her account on Sunday. This is the initial balance that we will use as a reference point for our calculations.

The Transactions

Over the next week, Anna makes several transactions that affect her account balance. We will examine each transaction individually and calculate the new balance after each transaction.

Day 1: Deposit of $50.00

Day	Debit ($)	Credit ($)
1	0	50.00

On Monday, Anna deposits $50.00 into her account. This increases her balance by $50.00, bringing her new balance to:

$274.00 + $50.00 = $324.00

Day 2: Purchase of $75.00

Day	Debit ($)	Credit ($)
2	75.00	0

On Tuesday, Anna makes a purchase of $75.00 from her account. This decreases her balance by $75.00, bringing her new balance to:

$324.00 - $75.00 = $249.00

Day 3: Deposit of $25.00

Day	Debit ($)	Credit ($)
3	0	25.00

On Wednesday, Anna deposits $25.00 into her account. This increases her balance by $25.00, bringing her new balance to:

$249.00 + $25.00 = $274.00

Day 4: Purchase of $40.00

Day	Debit ($)	Credit ($)
4	40.00	0

On Thursday, Anna makes a purchase of $40.00 from her account. This decreases her balance by $40.00, bringing her new balance to:

$274.00 - $40.00 = $234.00

Day 5: Deposit of $30.00

Day	Debit ($)	Credit ($)
5	0	30.00

On Friday, Anna deposits $30.00 into her account. This increases her balance by $30.00, bringing her new balance to:

$234.00 + $30.00 = $264.00

Day 6: Purchase of $60.00

Day	Debit ($)	Credit ($)
6	60.00	0

On Saturday, Anna makes a purchase of $60.00 from her account. This decreases her balance by $60.00, bringing her new balance to:

$264.00 - $60.00 = $204.00

Day 7: Deposit of $45.00

Day	Debit ($)	Credit ($)
7	0	45.00

On Sunday, Anna deposits $45.00 into her account. This increases her balance by $45.00, bringing her new balance to:

$204.00 + $45.00 = $249.00

Conclusion

In this article, we have analyzed Anna's account balance over the course of a week. We have examined each transaction individually and calculated the new balance after each transaction. The final balance of Anna's account on Sunday is $249.00.

Mathematical Concepts

This article has demonstrated the following mathematical concepts:

Addition: We have used addition to calculate the new balance after each deposit.
Subtraction: We have used subtraction to calculate the new balance after each purchase.
Initial Value: We have used the initial balance as a reference point for our calculations.
Transaction Analysis: We have analyzed each transaction individually to calculate the new balance.

Real-World Applications

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

Personal Finance: Understanding how to calculate account balances is essential for personal finance.
Business: Businesses use account balances to track their financial transactions.
Economics: Account balances are used in economics to analyze the flow of money in an economy.

Future Research

Future research could involve:

Analyzing more complex transactions: We could analyze more complex transactions, such as interest rates and fees.
Using different mathematical concepts: We could use different mathematical concepts, such as algebra and calculus, to analyze account balances.
Applying mathematical concepts to real-world scenarios: We could apply mathematical concepts to real-world scenarios, such as stock market analysis and economic forecasting.
Anna's Account Balance: A Mathematical Analysis - Q&A =====================================================

Introduction

In our previous article, we analyzed Anna's account balance over the course of a week. We examined each transaction individually and calculated the new balance after each transaction. In this article, we will answer some frequently asked questions about Anna's account balance.

Q&A

Q: What is the initial balance of Anna's account?

A: The initial balance of Anna's account is $274.00.

Q: How many transactions did Anna make over the course of a week?

A: Anna made a total of 7 transactions over the course of a week.

Q: What was the total amount deposited into Anna's account over the course of a week?

A: The total amount deposited into Anna's account over the course of a week was $175.00 ($50.00 + $25.00 + $30.00 + $45.00).

Q: What was the total amount withdrawn from Anna's account over the course of a week?

A: The total amount withdrawn from Anna's account over the course of a week was $220.00 ($75.00 + $40.00 + $60.00 + $45.00).

Q: What is the final balance of Anna's account on Sunday?

A: The final balance of Anna's account on Sunday is $249.00.

Q: How did Anna's account balance change over the course of a week?

A: Anna's account balance changed by $-25.00 over the course of a week.

Q: What mathematical concepts were used to analyze Anna's account balance?

A: The following mathematical concepts were used to analyze Anna's account balance:

Addition: We used addition to calculate the new balance after each deposit.
Subtraction: We used subtraction to calculate the new balance after each purchase.
Initial Value: We used the initial balance as a reference point for our calculations.
Transaction Analysis: We analyzed each transaction individually to calculate the new balance.

Q: What are some real-world applications of analyzing account balances?

A: Analyzing account balances has real-world applications in the following areas:

Personal Finance: Understanding how to calculate account balances is essential for personal finance.
Business: Businesses use account balances to track their financial transactions.
Economics: Account balances are used in economics to analyze the flow of money in an economy.

Q: What are some potential future research directions for analyzing account balances?

A: Some potential future research directions for analyzing account balances include:

Analyzing more complex transactions: We could analyze more complex transactions, such as interest rates and fees.
Using different mathematical concepts: We could use different mathematical concepts, such as algebra and calculus, to analyze account balances.
Applying mathematical concepts to real-world scenarios: We could apply mathematical concepts to real-world scenarios, such as stock market analysis and economic forecasting.

Conclusion

In this article, we have answered some frequently asked questions about Anna's account balance. We have also discussed some potential future research directions for analyzing account balances. We hope that this article has been helpful in understanding the mathematical concepts involved in analyzing account balances.