Question

Yvette makes $24.15 an hour at her part time job. She works 20 hours a week. Her job decided to give employees a 2% raise every month for the next 3 months. How much will she earn per hour in the 3rd month?

Answer 1

To find out how much Yvette will earn per hour in the 3rd month after receiving a 2% raise every month, we start with her initial hourly wage and calculate the raise for each of the three months.

1. **Initial Hourly Wage**: $24.15
2. **Raise Percentage**: 2% (which can be expressed as a decimal: 0.02)

Now we will calculate her hourly wage after each month.

**End of Month 1**:
\[
\text{New Wage} = \text{Initial Wage} \times (1 + \text{Raise Percentage})
\]
\[
\text{New Wage} = 24.15 \times (1 + 0.02) = 24.15 \times 1.02 = 24.15 \times 1.02 = 24.613
\]

**End of Month 2**:
\[
\text{New Wage} = 24.613 \times (1 + 0.02) = 24.613 \times 1.02 = 25.09926
\]

**End of Month 3**:
\[
\text{New Wage} = 25.09926 \times (1 + 0.02) = 25.09926 \times 1.02 = 25.60191
\]

We can round this to two decimal places.

Thus, her hourly wage in the 3rd month will be approximately **$25.60**.