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Natali5045456 [20]
2 years ago
12

What is the total cost for a $20 haircut with a 15% tip

Mathematics
2 answers:
Ymorist [56]2 years ago
6 0

Answer:

$23

Step-by-step explanation:

vitfil [10]2 years ago
3 0
So you are going to pay $20 and then a 15% tip on top of the 20.

And the 15% tip is 15% of $20.

To do less work, you can basically do 115% of 20 to find out the total cost instead of doing 15% of 20 and then adding that to 20.

Saying that x is the final price to pay, and converting the percents to fractions we get:

\sf{\frac{115}{100}\times 20=x}

Simplify that:

\sf{\frac{115}{5} = x}

And simplifying that further, you get the final answer as:

\huge{\boxed{\bf{x=23}}}

So you have to pay $23 after the tip :)
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100 Points!
tester [92]

Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)

To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.

4x^2 - 7x - 15 = 0

4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7

4x^2 - 12x + 5x - 15 = 0

4x(x - 3) + 5(x - 3) = 0

(4x + 5)(x - 3) = 0

4x + 5 = 0

x = -5/4

x - 3 = 0

x = 3

Part B: minimum, (7/8, -289/16)

The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.

To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.

b = -7

a = 4

x = -(-7) / 2(4) = 7/8

Now that we know the x-value, we can plug it into the function and solve for the y-value.

y = 4(7/8)^2 - 7(7/8) - 15

y = 4(49/64) - 49/8 - 15

y = 196/64 - 392/64 - 960/64

y = -1156/64 = -289/16 = -18 1/16

Part C:

First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.

Hope this helps!

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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bixtya [17]
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2 years ago
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Answer:

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Step-by-step explanation:

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