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A full-time employee who works 40 hours per week earns \(\$ 19.50\) per hour. Estimate that person's annual income.

Short Answer

Expert verified
The annual income of the employee can be determined by first calculating the weekly earning, and then multiplying that by the standard number of weeks in a year.

Step by step solution

01

Compute Weekly Income

Firstly, the weekly income of the employee is computed by multiplying the number of hours worked in a week by the hourly wage. The person works 40 hours per week and earns \( \$ 19.50 \) per hour. Therefore, the weekly income can be found using the equation: \[ Weekly Income = Hourly Wage \times Weekly Hours \] Substituting the given values, we get \[ Weekly Income = \$ 19.50 \times 40 \]
02

Compute Annual Income

The annual income can then be determined by multiplying the weekly income by the number of weeks in a year (conventionally assumed as 52). Therefore, the annual income can be calculated using the formula: \[ Annual Income = Weekly Income \times 52 \] The weekly income from the previous step will be used here to find the employee's annual income.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Weekly Income Calculation
Calculating weekly income is a foundational skill for financial planning and budgeting. It involves a simple yet important formula:
Weekly Income = Hourly Wage \times Hours Worked per Week.
Applying this formula, if an employee receives an hourly wage of \(19.50 and works a standard 40-hour week, the calculation would be: \[ Weekly Income = \$19.50 \times 40 \] Multiplying the hourly wage by the total hours worked gives us the weekly income, which in this case, equates to \)780. It's essential to verify the hours worked, as overtime or part-time hours could greatly affect this calculation. By understanding how to calculate weekly income, individuals can manage their finances better by knowing what to expect on their paycheck each week.
Hourly Wage Multiplication
Hourly wage multiplication is simply the process of converting the hourly rate into a larger time frame income, like weekly or monthly earnings. It is the crux of payroll calculations for many workers.
When performing this task, it’s vital to be precise with the multiplication to ensure accuracy in the estimated earnings. For instance, an hourly wage of $19.50, when multiplied by the number of hours worked in a week (\(40\) in the case of the aforementioned exercise), will determine how much the worker earns before taxes and any other deductions.
The formula for this is: \[ Income for Period = Hourly Wage \times Hours Worked \] Different time periods will require total hours to be adjusted accordingly. For weekly earnings, 40 hours is often the standard for full-time employment, but this can vary depending on the job and the contract. Hourly wage multiplication allows employees to project their income and plan personally and professionally.
Annual Salary Projection
The annual salary projection is a forward-looking estimation of what an employee can expect to make over the course of a year, based on their weekly income. Projecting an annual income helps with long-term financial planning, such as saving for a house, planning for retirement, or managing debt.
This estimate assumes consistency in the amount of wages and hours worked throughout the year. To arrive at an annual income, use the following formula: \[ Annual Income = Weekly Income \times Number of Weeks in a Year \] For the full-time employee in the exercise, considering 52 weeks in a year, the calculation would be: \[ Annual Income = \$780 \times 52 = \$40,560 \] Note that this method does not account for unpaid time off, holidays, or additional overtime, which could adjust the actual income earned in a year. An accurate annual salary projection depends on stable employment conditions and hours worked without significant variation.

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