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mel-nik [20]
3 years ago
8

Julio is paid 1.1 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he

Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Answer:

Julio's hourly rate is $14.4 per hour

Step-by-step explanation:

Let

r ------> Julio's normal hourly rate

we know that

The linear equation that represent this scenario is

30r+(41-30)(1.1r)=606.24

30r+(11)(1.1r)=606.24

30r+12.1r=606.24

42.1r=606.24

Solve for r    

r=606.24/42.1

r=14.4

therefore

Julio's hourly rate is $14.4 per hour

<em>Verify</em>

606.24=30(14.4)+(41-30)(1.1)(14.4)

606.24=432+174.24

606.24=606.24 ------> is ok

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If the angles are represented in degrees, find both angles: sin(x+7)=cos(4x+8)
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Answer:

m\angle 1 = 22\degree

m\angle 2 = 68\degree

Step-by-step explanation:

\sin(x + 7) =  \cos(4x + 8) \\  \sin(x + 7) =  \sin \{90  - (4x + 8) \} \\  \{ \because \cos \theta =  \sin(90 \degree -  \theta)  \}\\  \therefore \: (x + 7) = 90 - (4x + 8) \\ x + 7 + 4x + 8 = 90 \\ 5x = 90 - 15 \\ 5x = 75 \\ x =  \frac{75}{5}  \\ x = 15

(x + 7)° = (15 + 7)° = 22°

(4x + 8)° = (4*15 + 8)° = (60 + 8)° = 68°

m\angle 1 = 22\degree

m\angle 2 = 68\degree

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