Questions: Find the equivalent earnings for the salary indicated. What is the annual salary equivalent to a monthly salary of 3139.76 ? 37677.12 What is the biweekly salary equivalent to a monthly salary of 3139.76 ? 1449.12 What is the semimonthly salary equivalent to a monthly salary of 3139.76 ? 1569.88 What is the weekly salary equivalent to a monthly salary of 3139.76 ?

Find the equivalent earnings for the salary indicated.

What is the annual salary equivalent to a monthly salary of 3139.76 ?
37677.12
What is the biweekly salary equivalent to a monthly salary of 3139.76 ?
1449.12
What is the semimonthly salary equivalent to a monthly salary of 3139.76 ?
1569.88
What is the weekly salary equivalent to a monthly salary of 3139.76 ?
Transcript text: Find the equivalent earnings for the salary indicated. What is the annual salary equivalent to a monthly salary of $\$ 3139.76$ ? \$ 37677.12 What is the biweekly salary equivalent to a monthly salary of $\$ 3139.76 ?$ \$ 1449.12 What is the semimonthly salary equivalent to a monthly salary of $\$ 3139.76$ ? \$ 1569.88 What is the weekly salary equivalent to a monthly salary of $\$ 3139.76$ ? $\$ \square$
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Solution

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Solution Steps

To find the equivalent earnings for different pay periods based on a monthly salary of $3139.76, we need to convert the monthly salary to the desired pay period.

  1. Annual Salary: Multiply the monthly salary by 12 to get the annual salary.
  2. Biweekly Salary: Divide the annual salary by 26 (since there are 26 biweekly periods in a year).
  3. Semimonthly Salary: Divide the monthly salary by 2 (since there are 2 semimonthly periods in a month).
  4. Weekly Salary: Divide the annual salary by 52 (since there are 52 weeks in a year).
Step 1: Calculate the Annual Salary

To find the annual salary from a monthly salary of \(\$3139.76\), multiply the monthly salary by 12: \[ \text{Annual Salary} = 3139.76 \times 12 = 37677.12 \]

Step 2: Calculate the Biweekly Salary

To find the biweekly salary, divide the annual salary by 26 (since there are 26 biweekly periods in a year): \[ \text{Biweekly Salary} = \frac{37677.12}{26} \approx 1449.12 \]

Step 3: Calculate the Semimonthly Salary

To find the semimonthly salary, divide the monthly salary by 2 (since there are 2 semimonthly periods in a month): \[ \text{Semimonthly Salary} = \frac{3139.76}{2} = 1569.88 \]

Step 4: Calculate the Weekly Salary

To find the weekly salary, divide the annual salary by 52 (since there are 52 weeks in a year): \[ \text{Weekly Salary} = \frac{37677.12}{52} \approx 724.56 \]

Final Answer

  • The annual salary is \(\boxed{37677.12}\).
  • The biweekly salary is \(\boxed{1449.12}\).
  • The semimonthly salary is \(\boxed{1569.88}\).
  • The weekly salary is \(\boxed{724.56}\).
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