Her annual salary is $72800. A- calculate her weekly wage. B- holiday loading is calculated at 17.5% of four weeks pay, calculate her holiday loading. C- employer Increased her annual salary by 1%. What is the new annual salary. D- the increase in her annual salary is compensation for removing holiday loading. Explain why she is worse off financially with 1% increase.

Let's break this problem down step by step:

### A. Calculate her weekly wage.
To calculate her weekly wage, divide her annual salary by the number of weeks in a year (52 weeks):

\[
\text{Weekly wage} = \frac{72800}{52} = 1400
\]

So, her **weekly wage** is **$1,400**.

---

### B. Calculate her holiday loading.
Holiday loading is 17.5% of four weeks' pay. First, calculate her four weeks' pay:

\[
4 \text{ weeks' pay} = 4 \times 1400 = 5600
\]

Now, calculate 17.5% of this amount:

\[
\text{Holiday loading} = 0.175 \times 5600 = 980
\]

So, her **holiday loading** is **$980**.

---

### C. Employer increased her annual salary by 1%. What is the new annual salary?
To calculate the new salary after a 1% increase:

\[
\text{New salary} = 72800 + (0.01 \times 72800) = 72800 + 728 = 73528
\]

So, her **new annual salary** is **$73,528**.

---

### D. Why is she worse off financially with the 1% increase?
With the 1% salary increase, her new annual salary is $73,528, but the increase ($728) is less than what she was receiving as holiday loading ($980). 

To explain more clearly:
- **Original compensation**: $72,800 salary + $980 holiday loading = **$73,780** total.
- **After the increase**: $73,528 (without holiday loading).

Thus, with the 1% salary increase and the removal of holiday loading, her total compensation has decreased from **$73,780 to $73,528**, meaning she is **$252 worse off**.

---

### Summary of answers:
- **A.** Weekly wage = $1,400
- **B.** Holiday loading = $980
- **C.** New annual salary = $73,528
- **D.** She is worse off by $252 because the 1% increase does not compensate for the removal of the holiday loading.

---

Would you like more details on any part of this? Here are 5 related questions to expand on this:

1. What is the equivalent monthly salary for her original annual salary of $72,800?
2. How much would her holiday loading be if her weekly wage increased to $1,500?
3. What would her salary be if her employer offered a 2% raise instead of 1%?
4. If her new annual salary was $75,000, would she be better or worse off compared to having holiday loading?
5. What percentage increase in salary would exactly match the amount of holiday loading she received?

**Tip:** Always compare total compensation (salary + benefits) to understand the true financial impact of a raise or change in benefits.

Understand how to calculate weekly wages, holiday loading, and salary increases using real-world examples. This step-by-step guide covers percentage calculations and salary analysis, perfect for Grades 10-12 students.

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