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Kazeer [188]
3 years ago
6

A clothing store offers a 30% discount on all items in the store. Part A: If the original price of a sweater is $40, how much wi

ll it cost after the discount? Show your work. Answer: ______________ Part B: A shopper bought three of the same shirt and paid $63 after the 30% discount. What was the original price of ONE of the three shirts? Show your work. Answer: ______________ Part C: Every store emplyee gets an additional 10% off the already discounted price. If an employee buys an item with an original price of $40, how much will the employee pay?
Mathematics
1 answer:
mel-nik [20]3 years ago
6 0

Answer:

Step-by-step explanation:

Part A

The discount offered is 30%. If the original price of a sweater is $40, then the discount on the sweater is

30/100 × 40 = $12

The cost of the sweater after the discount is

40 - 12 = $28

Part B

The discount on the shirts was 30%. The amount taken off the shirt is

30/100 × 63 = $18.9

The original cost of the three shirts is

63 - 18.9 = $44.1

Since the shirts are of the same price,the original cost of each shirt is

44.1/3 = $14.7

Part C

Each employee gets an additional 10% off the already discounted price. If an employee buys an item with an original price of $40, then the additional amount taken off is

10/100 × 40 = $4

The amount that the employee would pay is

40 - 4 = $36

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Step-by-step explanation:

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= csc²x + cot²x

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= 2csc²x - 1 = right side ⇒ verified




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Step-by-step explanation:

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3 years ago
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2 ft
sdas [7]

Answer:

88/7 ft = 12.6 ft (nearest tenth)

Step-by-step explanation:

Circumference of a circle = 2\pir

<u>Radius of inner circle</u>

Given:

  • circumference of inner circle = 22ft
  • \pi = 22/7

⇒ 22 = 2 x (22/7) x r

⇒ r = 3.5

So the radius of the inner circle is 3.5 ft

<u>Radius of outer circle</u>

If the distance between the inner circle and the outer circle is 2 ft, then the radius of the outer circle = 3.5 + 2 = 5.5

<u>Circumference of outer circle</u>

Therefore, circumference of outer circle:

=  2 x (22/7) x 5.5

= 242/7 ft

<u>Difference between circumferences</u>

Difference = outer circle circumference - inner circle circumference

                  = 242/7 - 22

                  = 88/7 ft

                  = 12.6 ft (nearest tenth)

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1 year ago
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bulgar [2K]
What do u need help with
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3 years ago
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What is the domain of f(x) = log2(x 3) 2?.
kobusy [5.1K]

The domain of f(x) is  x > -3.

Given that

Function; \rm f(x) = log2(x + 3) + 2

We have to determine

The domain of f(x).

According to the question

To determine the domain of the function following all the steps given below.

The domain is defined as the set, which is to be input in a function. Or, we can say input values that satisfy a function.

Function; \rm f(x) = log2(x + 3) + 2

Then,

The domain of the function,

\rm x+3 > 0\\\\x > -3

The domain is x > -3,

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