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lara31 [8.8K]
3 years ago
14

If the sales tax in Alabama is 4 percent and a $20.00 purchase is made. What is the sales price? What is the total purchase pric

e?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0
Hello there! So first off, let's find the tax. In order to find the tax of an item, all you have to do is multiply the price by the percentage, because the tax is the portion of the price. The tax is 4%. Let's solve. 20 * 4% (0.04) is 0.8. The tax is $0.80. Let's add that to the purchase price. 20 + 0.80 is 20.80. That's the total purchase price. Here are the answers easier to read.

Sales tax: $0.80
Total price: $20.80
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18x3 + 6x2y - 9x2 - 3xy <br><br> factor completely
lutik1710 [3]

Answer:

\sf 3x(3x+y)(2x-1)

Step-by-step explanation:

Given expression:

\sf 18x^3 + 6x^2y - 9x^2 - 3xy

Factor out common term \sf 3x:

\sf \implies 3x(6x^2 + 2xy - 3x - y)

Factor \sf (6x^2 + 2xy - 3x - y)

Rearrange:

\sf \implies 6x^2 - 3x+ 2xy  - y

Factor pairs of terms:

\sf \implies 3x(2x-1)+ y(2x  - 1)

Factor out common term (2x - 1):

\sf \implies (3x+y)(2x-1)

Final solution:

\sf \implies 3x(3x+y)(2x-1)

7 0
2 years ago
Find the price per unit for each item, then choose the best buy. a. Cereal, 10 oz. box for $5.90 would b. Cereal, 24 oz. box for
Taya2010 [7]

Cereal A

10 ounces = $5.90

10/10 ounces = $5.90/10 .... divide both sides by 10

1 ounce = $0.59

1 ounce = 59 cents

----------

Cereal B

24 ounces = $6.48

24/24 ounces = $6.48/24  .... divide both sides by 24

1 ounce = $0.27

1 ounce = 27 cents

We see that Cereal B is the cheaper deal per ounce

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<h3>Answer: Cereal B is the better deal</h3>
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marishachu [46]

Answer:

Step-by-step explanation:

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Anna11 [10]

Answer:

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Step-by-step explanation:

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Given 3x^2+x-4/x-1 what are the domain and range
Katarina [22]

Answer:

  • doman: x ≠ 1
  • range: y ≠ 7

Step-by-step explanation:

The domain is the horizontal extent of the graph, the set of x-values for which the function is defined. The range is the vertical extent of the graph, the set of y-values defined by the function.

<h3>Simplified</h3>

The given function is undefined where its denominator is zero, at x=1. Everywhere else, it can be simplified to ...

  \dfrac{3x^2+x-4}{x-1}=\dfrac{(x-1)(3x+4)}{(x-1)}=3x+4\quad x\ne 1

<h3>Domain</h3>

The simplified function (3x+4) is defined for all values of x except x=1. The simplest description is ...

  x ≠ 1

In interval notation, this is ...

  (-∞, 1) ∪ (1, ∞)

<h3>Range</h3>

The simplified function is capable of producing all values of y except the one corresponding to x=1: 3(1)+4 = 7. The simplest description is ...

  y ≠ 7

In interval notation, this is ...

  (-∞, 7) ∪ (7, ∞)

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