Questions: An office employee earns 750 weekly. Find the equivalent earnings if paid biweekly, semimonthly, monthly, and annually.
What is the biweekly salary equivalent to a weekly salary of 750?
Transcript text: An office employee earns $\$ 750$ weekly. Find the equivalent earnings if paid biweekly, semimonthly, monthly, and annually.
What is the biweekly salary equivalent to a weekly salary of $\$ 750$ ?
\$ $\square$
Solution
Solution Steps
To find the equivalent earnings for different pay periods, we need to convert the weekly salary to biweekly, semimonthly, monthly, and annually.
Biweekly: Multiply the weekly salary by 2.
Semimonthly: Multiply the weekly salary by the number of weeks in half a month (approximately 2.1667 weeks).
Monthly: Multiply the weekly salary by the number of weeks in a month (approximately 4.3333 weeks).
Annually: Multiply the weekly salary by the number of weeks in a year (52 weeks).
Step 1: Calculate Biweekly Salary
To find the biweekly salary, we multiply the weekly salary by 2:
\[
\text{Biweekly Salary} = 750 \times 2 = 1500
\]
Step 2: Calculate Semimonthly Salary
To find the semimonthly salary, we multiply the weekly salary by the number of weeks in half a month. There are approximately \( \frac{52}{24} \) weeks in half a month:
\[
\text{Semimonthly Salary} = 750 \times \left( \frac{52}{24} \right) \approx 750 \times 2.1667 = 1625.0
\]
Step 3: Calculate Monthly Salary
To find the monthly salary, we multiply the weekly salary by the number of weeks in a month. There are approximately \( \frac{52}{12} \) weeks in a month:
\[
\text{Monthly Salary} = 750 \times \left( \frac{52}{12} \right) \approx 750 \times 4.3333 = 3250.0
\]
Step 4: Calculate Annual Salary
To find the annual salary, we multiply the weekly salary by the number of weeks in a year:
\[
\text{Annual Salary} = 750 \times 52 = 39000
\]