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This study case outlines Anne's work situation, income, and various expenses related to taxes, loans, and future plans. I'll break down each component and help compute some of the required values.

### Key Details:
1. **Wages**:
   - Standard pay rate: $19.5 per hour.
   - Worked:
     - 33 normal hours per week.
     - 9 hours of overtime at time-and-a-half.
     - 5 hours of overtime at double-time.
   - There are **52 weeks** in a year.

2. **Income Tax**:
   - Taxable income and tax payable are given in a table for a single person with no dependents.
   - Additional deductions:
     - 6% for pension contributions.
     - 3.5% for unemployment and health insurance.

3. **Loan & Savings**:
   - **Car loan**: $5000 at 10% interest with monthly payments over 12 equal installments.
   - **Home loan**: $10000 at 15% compound interest per annum (calculated monthly).
   - **Sale of house**: After one year, for $13000.

4. **Renting after the sale**: $500 per month.

### To Do:
We can calculate:
- **Total yearly income** based on her hourly wages.
- **Net income** after taxes and deductions.
- **Loan payments** for both the car and home loan.
- **Total net savings or deficit** after factoring in her income and loan payments.

Let me start by computing Anne's total yearly gross income.

### 1. **Yearly Gross Income:**
   - **Normal hours per week**: 33 hours.
     \[ \text{Normal pay per week} = 33 \times 19.5 = 643.5 \]
   - **Overtime at time-and-a-half**: 9 hours.
     \[ \text{Overtime 1.5 pay per week} = 9 \times 1.5 \times 19.5 = 263.25 \]
   - **Overtime at double-time**: 5 hours.
     \[ \text{Overtime 2.0 pay per week} = 5 \times 2 \times 19.5 = 195 \]
   - **Total weekly pay**: 
     \[ 643.5 + 263.25 + 195 = 1101.75 \]
   - **Total yearly pay** (52 weeks in a year):
     \[ 1101.75 \times 52 = 57391 \]

### 2. **Taxable Income**:
Based on her gross income ($57391), I will calculate the tax payable from the table, and then consider the pension and insurance contributions.

Would you like me to continue with these calculations or focus on a specific part of the scenario first?

### Follow-up Questions:
1. Would you like a step-by-step breakdown of the tax calculation?
2. Should I include pension contributions and other deductions right away?
3. Do you need help with the car and home loan payments as well?
4. Are you interested in seeing how much Anne saves by the end of the year?
5. Should we calculate the amount of rent Anne will pay after selling the house?

#### Tip:
To avoid compound interest building up quickly, it’s often beneficial to pay loans faster if possible.

Anne's financial scenario involving work hours, wages, taxes, loans, and rental decisions over a year.

Explore Anne's financial situation, calculating her yearly income from wages, determining taxes based on provided brackets, and analyzing loan repayments for her car and house. Includes a breakdown of compound interest and net savings. Suitable for students in Grades 11-12.

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