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netineya [11]
3 years ago
8

1. Your state charges 5% sales tax on nonfood items. You're buying a light bulb for $3.00, cereal for $2.50, and an orange for $

.50. What will be the grand total of your bill?
Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

Answer:

The total bill will be $6.15.  

Step-by-step explanation:

The problem tells us that the 5% sales tax is only charged for non-food items.  For the three items purchased, only one is non-food which is the light bulb.  The cost of the light bulb is $3.00.  In order to find the total after adding 5% sales tax, we can take the cost and multiply by 1.05, which is the original cost plus the additional 5%.  3 x 1.05 = 3.15.  To find the total bill, you need to add the cost of the light bulb, after tax, plus the cost of cereal and an orange:  3.15 + 2.50 + 0.5 = $6.15.  

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polet [3.4K]

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

a) \frac{15\pi}{4} - \frac{8\pi}{4} = \frac{7\pi}{4}, which is located in Quadrant IV <em>per the Unit Circle.  </em>

b) sec is \frac{1}{cos}. Cos is the x-coordinate.  The x-coordinate inQuadrant IV is positive.

c) the reference angle is the angle from \frac{7\pi}{4} to 2π = \frac{\pi}{4}

d) since the angle is below the x-axis and the reference angle is\frac{\pi}{4}, then the angle is equal to -sec(\frac{\pi}{4})

e) sec = \frac{1}{cos}   ⇒   sec \frac{7\pi}{4} = \frac{2}{\sqrt{2} } = \frac{2}{\sqrt{2} }(\frac{\sqrt{2}} {\sqrt{2}}) = \frac{2\sqrt{2} }{2} = \sqrt{2}

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Answer: (a) \frac{3\pi}{2} (b) (0, -1) (c) A (d) -1

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

a) \frac{11\pi}{2} - \frac{4\pi}{2} = \frac{7\pi}{2} - \frac{11\pi}{2} = \frac{3\pi}{2}

b) \frac{3\pi}{2} is on the Unit Circle at (0, -1)

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