Check My Work (3 remaining)

Mary Jo Prenaris is an office manager with gross earnings of $1,600 semimonthly. If her company switches pay schedules from semimonthly to biweekly, what are Mary Jo's new gross earnings?

$ biweekly salary

She got 24 pay checks a year under the old plan.

She'll get 26 a year under the new plan.

1600 * 24 = 38,400 a year

38,400 / 26 = ?

1476.92

To determine Mary Jo's new gross earnings after the switch from a semimonthly pay schedule to a biweekly pay schedule, we need to understand the difference between these two schedules.

Semimonthly pay schedule: Mary Jo currently receives her salary twice per month, which amounts to 24 paychecks in a year (12 months * 2 paychecks).

Biweekly pay schedule: Under a biweekly pay schedule, Mary Jo would receive her salary once every two weeks, resulting in 26 paychecks in a year (52 weeks divided by 2 weeks per paycheck).

To calculate Mary Jo's new gross earnings:

1. Calculate her gross earnings per pay period:
Semimonthly gross earnings = $1,600

2. Determine the conversion factor:
Conversion factor = Number of semimonthly pay periods / Number of biweekly pay periods
Number of semimonthly pay periods = 24
Number of biweekly pay periods = 26
Conversion factor = 24 / 26 = 0.9231 (rounded to four decimal places)

3. Calculate her new gross earnings:
New biweekly gross earnings = Semimonthly gross earnings * Conversion factor
New biweekly gross earnings = $1,600 * 0.9231 = $1,477.85 (rounded to two decimal places)

Therefore, Mary Jo's new gross earnings under the biweekly pay schedule would be $1,477.85.