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c Chloe's employer is increasing her annual salary by \( 1 \% \) What is Chloe's new annual salary?

Ask by Harper Chen. in Australia
Feb 18,2025

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Answer

Chloe's new annual salary is her current salary multiplied by 1.01.

Solution

To find Chloe's new annual salary after a \( 1\% \) increase, we need to follow these steps: 1. **Identify Chloe's current annual salary**: Let's denote her current salary as \( S \). 2. **Calculate the increase**: The increase in salary can be calculated as \( 0.01 \times S \). 3. **Calculate the new salary**: The new salary will be the current salary plus the increase, which can be expressed as: \[ S_{\text{new}} = S + 0.01 \times S \] This simplifies to: \[ S_{\text{new}} = S(1 + 0.01) = S \times 1.01 \] Now, if you provide Chloe's current annual salary \( S \), I can calculate her new annual salary \( S_{\text{new}} \).

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To find Chloe's new annual salary after a \( 1\% \) increase, you'll want to first determine what \( 1\% \) of her current salary is. You can do this by multiplying her current salary by \( 0.01 \). Then, simply add that amount to her current salary. For example, if her current salary is \( \$50,000 \), the calculation would look like this: New Salary = Current Salary + (Current Salary × \( 0.01 \)) New Salary = \( 50,000 + (50,000 × 0.01) \) New Salary = \( 50,000 + 500 \) New Salary = \( 50,500 \) Chloe's new annual salary would be \( \$50,500 \). But remember, this small percentage can make a big difference in the long run! Even a \( 1\% \) increase annually can add up over years, especially with the power of compound growth. So, keep an eye on those annual increases, since they can greatly enhance your overall earnings over time.

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