Mitch Anderson is a security guard. He earns $7.45 per hour for regular time up to 40 hours, time-and-a-half for overtime, and double time for the midnight shift. If Mitch worked 56 hours last week, including 4 hours on the midnight shift, how much were his gross earnings?

$7.45*40 + 4*2*$7.45 + 12*1.5* $7.45 = ?

To calculate Mitch Anderson's gross earnings, we need to consider his regular time, overtime, and double time wages.

First, let's calculate his regular time earnings:

Regular time rate: $7.45 per hour
Regular hours worked: 40 hours

Regular time earnings = Regular time rate * Regular hours worked = $7.45 * 40 = $298

Next, let's calculate his overtime earnings:

Overtime rate: Time-and-a-half of the regular time rate
Overtime hours worked: Total hours worked - Regular hours worked

Overtime rate = $7.45 * 1.5 = $11.175 per hour
Overtime hours worked = 56 hours - 40 hours = 16 hours

Overtime earnings = Overtime rate * Overtime hours worked = $11.175 * 16 = $178.8

Finally, let's calculate his double time earnings for the midnight shift:

Double time rate: Double the regular time rate
Double time hours worked: 4 hours

Double time rate = $7.45 * 2 = $14.9 per hour
Double time earnings = Double time rate * Double time hours worked = $14.9 * 4 = $59.6

Now, let's calculate the total gross earnings:

Total gross earnings = Regular time earnings + Overtime earnings + Double time earnings
Total gross earnings = $298 + $178.8 + $59.6 = $536.4

Hence, Mitch Anderson's gross earnings for last week were $536.40.