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The problem asks about the total money held in a bank vault by the end of the business day after some money was added to it.

**Initial amount in the vault** = $575,900  
**Amount added during the day** = $ 3.5 \times 10^3 $ dollars

### Step-by-step calculation:
1. Convert $ 3.5 \times 10^3 $ to standard form:
   \[
   3.5 \times 10^3 = 3,500 \text{ dollars}
   \]

2. Add this amount to the initial amount in the vault:
   \[
   575,900 + 3,500 = 579,400
   \]

### Final Answer:
The bank's vault holds **$579,400** by the end of the day.

Would you like further details or have any other questions?

Here are 5 related questions:
1. How do you calculate the sum of two numbers in scientific notation?
2. What is the importance of converting numbers into standard form in finance?
3. Can you subtract or multiply amounts in scientific notation without converting them?
4. How would you express $579,400 in scientific notation?
5. How do changes in large numbers like this affect interest calculations?

**Tip:** Always ensure scientific notation is converted correctly when adding or subtracting values in real-life problems.

At the beginning of the business day, a bank's vault held $575,900. By the end of the day, $3.5 × 10^3 had been added to the vault. How much money did the bank's vault hold at the end of the business day? Write your answer in standard form.

This problem involves calculating the total money in a bank vault by adding an amount written in scientific notation to an initial value. The solution includes converting scientific notation to standard form and performing the addition. Suitable for Grades 6-8.

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