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grin007 [14]
3 years ago
5

You pay $79.34 for a new watch, which includes 6.5% tax. What was the original price of the watch?

Mathematics
1 answer:
Oliga [24]3 years ago
8 0

Answer:

$74.50

w = watch before tax

79.34 = price after tax

.065 = tax rate

79.34   =   1.065w      (tax rate + 1 item) * w

/1.065      /1.065        

74.50   =   w

Check:

74.50 + 4.84 = 79.34

Step-by-step explanation:

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What is 6 divided by 3999 divided by 10021
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Answer:

0.00000014972309

Step-by-step explanation:

6/3999=0.00150037509

0.00150037509/10021=  0.00000014972309

hope this helps

4 0
3 years ago
4). A piece of wire in the shape of an arc of a circle
STALIN [3.7K]

Answer:

The angle the wire now subtends at the center of the new circle is approximately 145.7°

Step-by-step explanation:

The radius of the arc formed by the piece of wire = 15 cm

The angle subtended at the center of the circle by the arc, θ = 68°

The radius of the circle to which the piece of wire is reshaped to = 7 cm

Let 'L' represent the length of the wire

By proportionality, we have;

L = (θ/360) × 2 × π × r

L = (68/360) × 2 × π × 15 cm = π × 17/3 = (17/3)·π cm

Similarly, when the wire is reshaped to form an arc of the circle with a radius of 7 cm, we have;

L = (θ₂/360) × 2 × π × r₂

∴ θ₂ = L × 360/(2 × π × r₂)

Where;

θ₂ = The angle the wire now subtends at the center of the new circle with radius r₂ = 7 cm

π = 22/7

Which gives;

θ₂ = (17/3 cm) × (22/7) × 360/(2 × (22/7) × 7 cm) ≈ 145.7°.

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Step-by-step explanation:

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