Initial Balance and Weekly Deposits

Oct 13, 2025 by wbrum.org 48 views

Understanding Alisa's Savings Account

Alisa has a savings account with an initial balance of $400. Each week, she adds $95 to her account. The question is, how much will Alisa have in her savings account after a certain number of weeks? To answer this, we need to find an expression that represents the total amount in her account after a given number of weeks.

Initial Balance and Weekly Deposits

Alisa starts with an initial balance of $400. This is the amount she has in her account before making any deposits. Each week, she adds $95 to her account. This is a fixed amount that she deposits every week.

Expression for Total Amount

To find the total amount in Alisa's account after a certain number of weeks, we need to add the initial balance to the total amount deposited over that period. Since Alisa deposits $95 each week, the total amount deposited after w weeks is 95w.

Expression for Total Amount: 400 + 95w

The total amount in Alisa's account after w weeks is the sum of the initial balance and the total amount deposited. This can be represented by the expression:

400 + 95w

This expression represents the amount Alisa will have in her savings account after w weeks.

Alternative Expression: 95w + 400

Some people may prefer to write the expression in a different order. Instead of adding the initial balance first, we can add the total amount deposited first. This gives us the expression:

95w + 400

This expression is equivalent to the previous one, but it represents the same amount in Alisa's account after w weeks.

In conclusion, the expression that represents the amount Alisa will have in her savings account after w weeks is 400 + 95w. This expression takes into account the initial balance and the total amount deposited over the given period. By using this expression, we can easily calculate the total amount in Alisa's account after any number of weeks.

Example Use Case

Let's say Alisa wants to know how much she will have in her account after 10 weeks. We can plug in w = 10 into the expression 400 + 95w to get:

400 + 95(10) = 400 + 950 = 1350

So, after 10 weeks, Alisa will have $1350 in her savings account.

Common Mistakes

When working with expressions like this, it's easy to make mistakes. Here are a few common mistakes to watch out for:

Incorrect order of operations: Make sure to follow the order of operations (PEMDAS) when evaluating expressions.
Incorrect coefficients: Double-check that the coefficients (numbers in front of the variables) are correct.
Incorrect variables: Make sure to use the correct variable (in this case, w) in the expression.

By being aware of these common mistakes, you can avoid errors and ensure that your calculations are accurate.

In conclusion, the expression 400 + 95w represents the amount Alisa will have in her savings account after w weeks. This expression takes into account the initial balance and the total amount deposited over the given period. By using this expression, we can easily calculate the total amount in Alisa's account after any number of weeks.
Alisa's Savings Account: Q&A

In our previous article, we discussed how to find the expression that represents the amount Alisa will have in her savings account after a certain number of weeks. Now, let's answer some frequently asked questions about Alisa's savings account.

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

A: The initial balance in Alisa's savings account is $400.

Q: How much does Alisa deposit each week?

A: Alisa deposits $95 each week.

Q: What is the expression that represents the amount Alisa will have in her savings account after w weeks?

A: The expression that represents the amount Alisa will have in her savings account after w weeks is 400 + 95w.

Q: Can I write the expression in a different order?

A: Yes, you can write the expression in a different order. Instead of adding the initial balance first, you can add the total amount deposited first. This gives you the expression 95w + 400.

Q: How do I calculate the total amount in Alisa's account after a certain number of weeks?

A: To calculate the total amount in Alisa's account after a certain number of weeks, you can plug in the value of w into the expression 400 + 95w.

Q: What if I want to find the amount Alisa will have in her account after 10 weeks?

A: To find the amount Alisa will have in her account after 10 weeks, you can plug in w = 10 into the expression 400 + 95w. This gives you:

400 + 95(10) = 400 + 950 = 1350

So, after 10 weeks, Alisa will have $1350 in her savings account.

Q: What are some common mistakes to watch out for when working with expressions like this?

A: Some common mistakes to watch out for when working with expressions like this include:

Incorrect order of operations: Make sure to follow the order of operations (PEMDAS) when evaluating expressions.
Incorrect coefficients: Double-check that the coefficients (numbers in front of the variables) are correct.
Incorrect variables: Make sure to use the correct variable (in this case, w) in the expression.

Q: Can I use this expression to find the amount Alisa will have in her account after any number of weeks?

A: Yes, you can use this expression to find the amount Alisa will have in her account after any number of weeks. Simply plug in the value of w into the expression 400 + 95w.

Example Use Cases

Here are a few example use cases for the expression 400 + 95w:

Finding the amount Alisa will have in her account after 10 weeks: Plug in w = 10 into the expression 400 + 95w to get 1350.
Finding the amount Alisa will have in her account after 20 weeks: Plug in w = 20 into the expression 400 + 95w to get 1900.
Finding the amount Alisa will have in her account after 30 weeks: Plug in w = 30 into the expression 400 + 95w to get 2450.

By using the expression 400 + 95w, we can easily calculate the total amount in Alisa's account after any number of weeks.