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Nezavi [6.7K]
3 years ago
13

Tablets are on sale for 15% off the original price (t), which can be expressed with the function p(t) = 0.85t. Local taxes are a

n additional 8% of the discounted price (p), which can be expressed with the function c(p) = 1.08p. Using this information, which of the following represents the final price of a tablet with the discount and taxes applied based on its original price?
Mathematics
1 answer:
kolezko [41]3 years ago
8 0
What its saying is that u have a discount price and that goes up by 8% so we know its not greater than 1
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2(6x + 1) - 4(x - 5) = -2
mr_godi [17]

Answer:

x=−3

Step-by-step explanation:

2(6x+1)−4(x−5)=−2

Step 1: Simplify both sides of the equation.

2(6x+1)−4(x−5)=−2

(2)(6x)+(2)(1)+(−4)(x)+(−4)(−5)=−2(Distribute)

12x+2+−4x+20=−2

(12x+−4x)+(2+20)=−2(Combine Like Terms)

8x+22=−2

8x+22=−2

Step 2: Subtract 22 from both sides.

8x+22−22=−2−22

8x=−24

Step 3: Divide both sides by 8.

8x/8=−24/8

8 0
3 years ago
Read 2 more answers
How many items must she sell to break even?
nikklg [1K]

Answer:

20

Step-by-step explanation:

We have two simultaneous equations.

(1)  y = 2x + 50

(2) y = 4.5x

1. Subtract (1) from (2)

0 = 2.5x - 50

2. Add 50 to each side

2.5x = 50

3. Divide each side by 2.5

x = 20

Pilar must sell 20 items to break even.

8 0
3 years ago
You want to to buy the PlayStation 5 and it is listed as $449.99 in all the stores
Anna71 [15]

Answer:

Without taxes, the price will be $359.99

Step-by-step explanation:

You take the original price then divide it by ten. Then you multiply that number by 2 to get what 20% of 449.99 is. You then subtract that number from from 449.99. At least I think so. There are other ways to go faster but this is the easiest to understand.

7 0
3 years ago
16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.
Katyanochek1 [597]
We will use the sine and cosine of the sum of two angles, the sine and consine of \frac{\pi}{2}, and the relation of the tangent with the sine and cosine:

\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta

\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0

\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}

If you use those identities, for \alpha=x,\ \beta=\dfrac{\pi}{2}, you get:

\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x

\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x

Hence:

\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x
3 0
3 years ago
The range is the set of
slavikrds [6]

Answer:The range of a set of data is the difference between the highest and lowest values in the set.

Step-by-step explanation: The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

Hope this helps  :)

7 0
3 years ago
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