Sarah receives a semi-monthly salary of $933.20 and works a regular workweek of 40 hours. A. What is Sarah's hourly rate of pay? 5 marks b. If Sarah's gross earnings in one pay period were $1090.19, for how many hours of overtime was she paid at time and one-half regular pay

$10.7677

9.72 hours

Explanation:

Given the following :

Semi-monthly salary = $933.20

Work hours per week = 40 hours

Hourly rate of pay =?

Monthly salary = 2 × $933.20 = $1866.40

Yearly pay = $1866.40 × 12 = $22396.8

Therefore, weekly pay ;

$22,396.80 / 52 = $430.7077

However, Sarah only works for 40 hours per week

Therefore, weekly pay equals;

$430.7077 / 40 = $10.7677

B) if gross pay = $1090.19

Therefore, amount of overtime paid equals:

$1090.19 - $933.20 = $156.99

If overtime pay is one-half regular pay, that is;

1.5 × $10.7677 = $16.152

Therefore, overtime hours equals

Total overtime paid / overtime pay rate

$156.99 / $ 16.152 = 9.719

9.72 hours

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