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Sean is paid biweekly. His annual salary is \(\$ 42,500 .\) What is his biweekly salary to the nearest cent?

Short Answer

Expert verified
Sean's biweekly salary, to the nearest cent, is about \$1,634.62.

Step by step solution

01

Identify the number of weeks in a year

We know that a year typically has 52 weeks.
02

Find the weekly salary

To find Sean's weekly salary, divide his annual salary by the total number of weeks in a year.\[ \frac{42,500}{52} \] This will give you how much he earns weekly.
03

Compute the biweekly salary

Since he is paid biweekly (every two weeks), we then multiply the result by 2. \[ \text{Weekly salary} \times 2 \]

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Key Concepts

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

Annual to Biweekly Salary
Understanding how to convert an annual salary to a biweekly pay amount is crucial for financial planning and budgeting. When you receive a stated annual salary, it represents the total amount you earn in a year, before taxes or other deductions. To find out how much you'll get in your biweekly paycheck, you need to divide your annual salary by the number of biweekly periods in a year.

A standard year has 52 weeks, which means there are 26 biweekly periods (since one biweekly period covers two weeks). Therefore, to calculate your biweekly salary from an annual one, you divide the total annual salary by 26. It's a simple yet fundamental application of financial algebra that aids in understanding more complex salary computations. Remember to always round to the nearest cent when dealing with currency to ensure accuracy in financial documents.
Weekly Salary Computation
Weekly salary computation serves as the intermediary step toward understanding biweekly salary calculations. To work out the weekly salary, the process entails dividing the annual salary by 52 since there are 52 weeks in a year.

For instance, suppose your annual salary is \(42,500\). To find out how much you earn in a single week, you divide \(42,500\) by 52, yielding a weekly salary figure. This is essential for individuals who are paid on a weekly basis or when determining remuneration for partial weeks of work. A command over this computation is not only useful for employees but also employers who need to prorate salaries.
Financial Algebra
Financial algebra involves applying algebraic methods to solve problems in finance, such as salary computations, interest rates, loan repayments, and investment growth. It is an essential skill for making informed economic decisions. Specifically, converting an annual salary to biweekly or weekly payroll utilizes basic algebra—dividing the annual amount by the frequency of pay periods.

The practical aspect of financial algebra is seen when individuals are not just passively receiving a salary, but actively planning budgets, forecasting expenses, and understanding the mathematical reasons behind financial statements. Mastery of financial algebra can empower you to make smarter decisions about your income and expenditures.
Salary Division Method
The salary division method is a fundamental approach used for breaking down an annual salary into smaller, periodic payments, which can be weekly, biweekly, monthly, or semi-monthly, based on the pay structure of an organization. The concept involves two primary steps: identifying the number of pay periods in a year and then dividing the total annual salary by that number.

When using the salary division method, it's important to consider the exact number of pay periods because employers may have different pay schedules. For example, dividing by 52 for weekly, 26 for biweekly, 24 for semi-monthly, or 12 for monthly payouts. This method is not only useful for salary computations but also for understanding how to budget effectively, as it provides clarity on how much money will be available at each pay interval.

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Most popular questions from this chapter

Aileen is a salesperson at Lopez Sporting Goods. She is paid a monthly commission on all Little league uniforms she sells. She receives 10\(\%\) of her first \(\$ 2,000\) in sales and 12\(\%\) of the balance of her sales. Last week she earned \(\$ 231.20 .\) What was the total value of the uniforms she sold?

When Lou started his current job, his employer told him that he would receive two vacation days for each full year he worked. Let x represent the number of years he has worked for the company and y represent the number of paid vacation days he earned. a. Write an equation that models the relationship between these two variables. b. How long will it take him to earn 18 paid vacation days?

Eddie is a plant manager at North Salem Construction Company. He has been employed there for 20 years and will be retiring at the end of this year. His pension is calculated on the average of his last four years’ salaries. In those years, he earned \(82,000, \)96,000, \(105,000, and \)109,000. His employer will give him 1.2% of that average for each year he worked. Calculate Eddie’s pension.

Mike is a veterinarian. He is placing a 9-line classified ad for an assistant. The following piecewise function gives the price of an \(x\) -line ad. $$a(x)=\left\\{\begin{array}{ll}{45} & {\text { when } x \leq 3} \\\ {45+9(x-3)} & {\text { when } x>3}\end{array}\right.$$ a. Find the difference between the cost of a 2-line ad and the cost of a 3-line ad. b. Find the cost of a 10-line ad. c. Find the cost of an 11-line ad. d. Can you fi nd the difference between the cost of a 15-line ad and a 17-line ad, without fi nding out the cost of each ad fi rst? Explain.

Oscar sells Internet access subscriptions by telephone. He receives 12\(\%\) of the first \(\$ 1,000\) and 15\(\%\) on the balance over \(\$ 1,000\) . Last month he sold \(\$ 7,500\) worth of Internet access subscriptions. What was his commission for last month?

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