Question

A job pays an annual salary of ​$33 comma 675​, which includes a holiday bonus of ​$675. If paychecks are issued twice a​ month, what is the gross amount for each​ paycheck?
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Part 1
The gross amount for each paycheck is ​$
  
enter your response here.
​(Simplify your​ answer.)

Answer 1

To calculate the gross amount for each paycheck when the annual salary is $33,675 and paychecks are issued twice a month, follow these steps:

1. **Identify the annual salary**: $33,675
2. **Identify the number of pay periods**: Since there are 12 months in a year and paychecks are issued twice a month, the total number of pay periods is \(12 \times 2 = 24\).
3. **Calculate the gross amount for each paycheck**:
\[
\text{Gross amount per paycheck} = \frac{\text{Annual salary}}{\text{Number of pay periods}} = \frac{33,675}{24}
\]

Now, performing the division:
\[
\frac{33,675}{24} = 1,403.125
\]

Therefore, the gross amount for each paycheck is **$1,403.13** (rounded to two decimal places).

So, the answer is:
**$1,403.13**