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3 years ago

Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780.

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

7 0

Answer:

Commission: $3625.70

Total (sales + commission): $59405.70

Step-by-step explanation:

6.5% of 55780 = 0.065 × 55780 = 3625.7

55780 increase 6.5% =

55780 × (1 + 6.5%) = 55780 × (1 + 0.065) = 59405.7

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2 years ago

Work out m and c for the like: y=x+9

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We are given the equation of the line in slope-intercept form (y=mx+c)

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timofeeve [1]

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3 years ago

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BARSIC [14]

Answer: see proof below

<u>Step-by-step explanation:</u>

Use the Double Angle Identity: cos 2A = 2cos²A - 1

Use the Difference Identity: cos (A - B) = cosA · cosB + sinA · sinB

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<u>Proof LHS → RHS</u>

$\text{Given:}\qquad \qquad \qquad \qquad 2\cos^2\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)-1\\\\\\\text{Double Angle Identity:}\quad \cos2\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \quad \cos\bigg(\dfrac{\pi}{2}-A\bigg)\\\\\\\text{Difference Identity:}\qquad \cos\dfrac{\pi}{2}\cdot \cos A+\sin \dfrac{\pi}{2}\cdot \sin A\\\\\\\text{Unit Circle:}\qquad \qquad \qquad 0\cdot \cos A+1\cdot \sin A\\\\\\\text{Simplify:}\qquad \qquad \qquad \qquad \sin A$

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