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 = 298

7.45 * 1.5 = 11.175
7.45 * 2 = 14.90

298 + (12 * 11.175) + (4 * 14.90) = ?

491.70

To calculate Mitch Anderson's gross earnings, we need to determine the earnings for regular time, overtime, and the midnight shift separately, and then add them up.

1. Regular Time Earnings:
Mitch worked a total of 56 hours last week, including 4 hours on the midnight shift. Therefore, he worked 56 - 4 = 52 hours during regular time.
Mitch earns $7.45 per hour during regular time up to 40 hours. So, his regular time earnings are 40 * $7.45 = $298.

2. Overtime Earnings:
Since Mitch worked 52 hours during regular time, he worked 56 - 52 = 4 hours of overtime.
Mitch earns time-and-a-half for overtime, which means he earns 1.5 * $7.45 = $11.175 per hour.
Therefore, his overtime earnings are 4 * $11.175 = $44.70.

3. Midnight Shift Earnings:
Mitch worked 4 hours on the midnight shift, and he earns double the regular rate for this shift.
So, his midnight shift earnings are 4 * 2 * $7.45 = $59.60.

Now, add up the earnings from regular time, overtime, and the midnight shift:
$298 (Regular Time) + $44.70 (Overtime) + $59.60 (Midnight Shift) = $402.30.

Therefore, Mitch Anderson's gross earnings for the week were $402.30.

To calculate Mitch's gross earnings, we need to break down his work hours and multiply them by the corresponding rates.

1. Calculate regular time earnings:
- Mitch worked 40 regular hours, and the pay rate is $7.45 per hour.
- Regular earnings = 40 hours x $7.45/hour = $298.00

2. Calculate overtime earnings:
- Mitch worked 16 hours of overtime (56 total hours - 40 regular hours).
- Overtime pay rate is time-and-a-half, which means $7.45 x 1.5 = $11.175 per hour.
- Overtime earnings = 16 hours x $11.175/hour = $178.80

3. Calculate earnings for the midnight shift:
- Mitch worked 4 hours on the midnight shift.
- Midnight shift pay rate is double the regular rate, which means $7.45 x 2 = $14.90 per hour.
- Midnight shift earnings = 4 hours x $14.90/hour = $59.60

4. Calculate gross earnings by adding all earnings together:
- Gross earnings = Regular earnings + Overtime earnings + Midnight shift earnings
- Gross earnings = $298.00 + $178.80 + $59.60 = $536.40

Thus, Mitch's gross earnings for last week would be $536.40.