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The question involves calculating the interest earned on a savings account. Here's the information provided:

- Initial deposit: $300
- Annual interest rate: 6%
- Time: 120 days

To calculate the amount she withdraws after 120 days, we will use the formula for simple interest since the interest rate is annual and no compounding is mentioned:

\[
A = P \left(1 + \frac{r \cdot t}{365}\right)
\]

Where:
- $A$ is the total amount withdrawn (principal + interest),
- $P$ is the principal amount ($300),
- $r$ is the annual interest rate (6% = 0.06),
- $t$ is the number of days (120),
- 365 is the number of days in a year (assuming a non-leap year).

Now let's calculate this step by step:

\[
A = 300 \left(1 + \frac{0.06 \times 120}{365}\right)
\]

\[
A = 300 \left(1 + \frac{7.2}{365}\right)
\]

\[
A = 300 \left(1 + 0.019726\right)
\]

\[
A = 300 \times 1.019726
\]

\[
A \approx 305.92
\]

So, after rounding to the nearest dollar, the amount she withdraws is **$306**.

Would you like more details or have any questions about this calculation? Here are some related questions:

1. How is the simple interest formula different from compound interest?
2. What would happen if the time period was in months instead of days?
3. How would the result change with a different interest rate?
4. Can you explain what happens if the interest is compounded monthly?
5. Why do we use 365 days in the formula instead of 360?

**Tip:** Always check whether interest is compounded, as it can significantly affect the total withdrawal amount.

A woman deposits $300 in a savings account that pays 6% annually. If she withdraws all the money in the account after 120 days, how much does she withdraw (rounded to the nearest dollar)?

Learn how to calculate the total amount withdrawn from a savings account after 120 days, based on a $300 deposit and a 6% annual interest rate. This problem covers key financial concepts like simple interest, percentages, and time-based interest calculation. Suitable for high school students.

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