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Natali5045456 [20]
3 years ago
13

Each of 16 store cashiers worked an average of 21 hours per week and are paid $8.25 per hour. After the store manager hires 2 ad

ditional cashiers, each cashier will be paid $0.25 more per hour and will work an average of 1.5 fewer hours per week. What will be the change in the total amount of money the cashiers are paid each week?
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0

Answer:

<u>$211.50</u>

Step-by-step explanation:

Initially:

21 hours per week at 8.25 per hours means:

21 * 8.25 = 173.25 dollars per person

16 person = 16 * 173.25 = $2772 (total)

2nd phase:

2 more cashier = 16 + 2 = 18 cashiers

Per hour 0.25 more, so 8.25 + 0.25 = $8.50 per hour

1.5 hrs less than 21, so 21 - 1.5 = 19.5 hours

Hence,

18 * 19.5 * 8.50 = $2983.50 (new total)

Change in money paid = 2983.50 - 2772 = $211.50

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Answer:

13

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

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2 years ago
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<img src="https://tex.z-dn.net/?f=%20express%20%5C%3A%20%20%5C%3A%20%5Csin%282x%29%20%20-%20%20%5Csqrt%7B3%7D%20%20%5Ccos%282x%2
gizmo_the_mogwai [7]

Answer:

α = π/3

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Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

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Matching the coefficients:

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Solve the system of equations.  Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

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Using the identity from before:

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sin(2x − π/3) = 1/2

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x is between -π and π, so:

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7 0
3 years ago
Given that ΔPQR is similar to ΔPTS, which statement MUST be true? A) m∠PST = m∠QPR B) m∠TPS = m∠RPQ C) m∠SPT = m∠PTS D) m∠PRQ =
galina1969 [7]

Answer:

The correct option is B.

Step-by-step explanation:

Two triangle are similar if their corresponding sides are in the same proportion or the corresponding angles are same.

It is given that the ΔPQR is similar to ΔPTS. It means all corresponding angles are same.

\angle R=\angle S

\angle Q=\angle T

\angle P=\angle P

Angle P can be defined as

\angle QPR=\angle TPS

\angle RPQ=\angle TPS

Therefore option B is correct.

\angle PST\neq\angle QPR

\angle SPT\neq\angle PTS

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Therefore option A, C and D are incorrect.

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Answer:

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divide by 4

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2 years ago
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The correct answer for the question that is being presented above is this one:

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= 11/100
So the probability is <span>11/100</span>
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