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netineya [11]
4 years ago
10

Camille uses a 20% off coupon when buying a sweater that costs $47.99. If she also pays 6% sales tax on the purchase, how much d

oes she pay?
Mathematics
2 answers:
dezoksy [38]4 years ago
3 0
First calculate what the coupon does for Camille
so multiply %20 by the cost or .2(47.99)=9.598 which rounds to  9.60 meaning she still paid $38.39
Then calculate sales tax by multiplying her clearance price by %6 and adding it on the cost
.06(38.39)= 2.3034 which rounds to $2.30 in tax.
Add that onto the clearance price 38.39+2.30=$40.69
So her total cost was $40.69
Maurinko [17]4 years ago
3 0
How do you get 38.39 from 9.60?
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1.) Determine the type of solutions for the function (Picture 1)
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Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

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The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

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2 nonreal complex roots

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D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

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A vertical reflection is given by an equation of the form; y = -f(x) = -x²

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g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

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