Michelle noticed her gross pay per period increased by 2800 when her employer changed from biweekly pay to monthly pay. What is Michelle’s annual salary

Let's break this problem down step by step.

1. **Before the change**: Michelle was paid biweekly. This means she received her salary every two weeks.
   - There are 52 weeks in a year, so with biweekly pay, she received 26 pay periods in a year (since 52 ÷ 2 = 26).

2. **After the change**: Michelle is now paid monthly, which means she receives 12 pay periods in a year.

3. **Difference in gross pay per period**: The change resulted in her gross pay per period increasing by \$2800.

Let:
- $ B $ represent her biweekly gross pay.
- $ M $ represent her monthly gross pay.

We know that:
\[ M = B + 2800 \]

Since her salary is the same annually, we can express her total annual salary from both the biweekly and monthly pay systems.

- **Biweekly system**: Her annual salary would be $ 26 \times B $.
- **Monthly system**: Her annual salary would be $ 12 \times M $.

These two expressions for the annual salary must be equal, so:
\[ 26B = 12M \]

Substitute $ M = B + 2800 $ into this equation:
\[ 26B = 12(B + 2800) \]
\[ 26B = 12B + 33600 \]
\[ 26B - 12B = 33600 \]
\[ 14B = 33600 \]
\[ B = \frac{33600}{14} = 2400 \]

So, Michelle's biweekly gross pay was \$2400.

Now, let's find her monthly gross pay:
\[ M = B + 2800 = 2400 + 2800 = 5200 \]

Finally, her annual salary is:
\[ \text{Annual Salary} = 12 \times M = 12 \times 5200 = 62400 \]

Thus, Michelle's annual salary is **\$62,400**.

Would you like any more details or have any questions?

Here are 5 related questions to expand on this topic:
1. How would her annual salary change if her biweekly pay increased by 10%?
2. If Michelle worked part-time and her salary was reduced by 30%, what would her new annual salary be?
3. What would Michelle’s monthly gross pay be if she worked in a country that pays weekly?
4. If taxes reduce her monthly gross pay by 25%, what is her take-home pay per month?
5. How does the change in pay frequency affect savings habits or budgeting?

**Tip**: When dealing with different pay periods, always equate the annual salary to find relationships between biweekly, monthly, or even weekly payments.

Michelle noticed her gross pay per period increased by 2800 when her employer changed from biweekly pay to monthly pay. What is Michelle’s annual salary?

Learn how to calculate Michelle's annual salary after her gross pay per period increased by $2800 due to a change from biweekly to monthly pay. This detailed step-by-step solution involves algebraic concepts and salary formulas. Suitable for students in Grades 10-12.

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