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3 years ago

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A store is having a sale during which all outdoor furniture is 45% off the original price, p. If the post-sale price of an outdo

or furniture set can be calculated using the expression p – 0.45p, which expression also represents the price?
A) 0.45p

B) 0.55p

C) 1 – 0.45p

D) p – 0.55⇒Δ

1 answer:

Leokris [45]3 years ago

7 0

Answer:

p*0.55

Step-by-step explanation:

Step one:

given data

let the original price be p

let the discounted sale be A

45% of the original price is given as

Step two:

A= p-0.45p

factor p out

A=p(1-0.45)

A= p*0.55

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

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<em>Identify variables for u-substitution (trigonometric substitution).</em>

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

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The Cartesian coordinates of a point are given. (a) (−5, 5) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0

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Answer:

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(ii) The coordinates of the point in polar form is (-5√2 , 3π/4)

b)

(i) The coordinates of the point in polar form is (6 , π/3)

(ii) The coordinates of the point in polar form is (-6 , 4π/3)

Step-by-step explanation:

* Lets study the meaning of polar form

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given point

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# (5 , π/3) ⇒ 1st quadrant

# (5 , −5π/3) ⇒ 4th quadrant

# (−5 , 4π/3) ⇒ 3rd quadrant

# (−5 , −2π/3) ⇒ 2nd quadrant

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(a)

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OR

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∴ Ф = π - π/4 = 3π/4

(i) ∵ r > 0

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∴ Ф = 7π/4 ⇒ 4th quadrant

∴ The coordinates of the point in polar form is (5√2 , 7π/4)

(ii) r < 0

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∵ Ф = 3π/4 ⇒ 2nd quadrant

∴ The coordinates of the point in polar form is (-5√2 , 3π/4)

(b)

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∴ The coordinates of the point in polar form is (6 , π/3)

(ii) r < 0

∴ r = -6

∵ Ф = 4π/3 ⇒ 3rd quadrant

∴ The coordinates of the point in polar form is (-6 , 4π/3)

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