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anastassius [24]
3 years ago
11

A cell phone charger costs $21. There is a 10% discount this week only. The sales tax is 9%. What is the total of the phone char

ger including tax? Please show your work.
Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer:

The total charge of phone charger after discount and including tax = $20.60

Step-by-step explanation:

Given as :

The cost of cell phone charger = $21

The discount on phone charger = 10%

The sales tax includes = 9%

Now, As the discount is 10% then the cost of phone charger after discount =

        $21 - (10% of $21)

Or, cost after discount = $21 - (\frac{210}{100})

Or, cost after discount = $21 - $2.1

Or, cost after discount = $18.9

Now the sales tax of 9% added after discount

So , Final price of phone charger = $18.9 + 9% of $18.9

Or, Final price of phone charger = $18.9 + 0.09 × $18.9

I.e Final price of phone charger = $18.9 + $1.701 = $20.60

Hence the Final price of phone charger after discount and sales tax is $20.60    Answer

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4/20 - 5/20 = -1/20, and therefore, since the answer is negative, you've proven that 5/20 (or the original 1/4) is actually the bigger number, not the 4/20 (or 1/5).

Step-by-step explanation:

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That is the simplest form
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A yogurt costs 45p. How many yogurts can be bought for five pounds?
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1/9 of a yogurt can be bought with 5 pounds.
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Estimate first..then give the exact sum 72.13 + 33.14=?​
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Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function. Typ
Georgia [21]

The y-intercept of a function is the point where the graph crosses the \mathbf{y = x^3 + 2x^2 - 193x - 270 }

  • The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
  • The y-intercept is -13.5
  • The standard equation of the function is: \mathbf{y = x^3 + 2x^2 - 193x - 270 }

<u>(a) The factors</u>

First, we write out the points where the function cross the x-axis.

The points are:

\mathbf{x = 10}

\mathbf{x = -3}

\mathbf{x = -9}

Equate the above points to 0

\mathbf{x -10 = 0}

\mathbf{x +3 = 0}

\mathbf{x +9 = 0}

Hence, the factors are: (x - 10), (x + 3) and (x + 9)

<u>(b) The y-intercept</u>

This is the point where the graph crosses the y-axis.

From the attached graph, the graph crosses the y-axis at -13.5.

Hence, the y-intercept is -13.5

<u>(c) The standard form</u>

In (a), we have:

\mathbf{x -10 = 0}

\mathbf{x +3 = 0}

\mathbf{x +9 = 0}

Multiply the above equations

\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 \times 0 \times 0}

\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 }

Expand

\mathbf{(x - 10) \times (x^2 + 3x + 9x + 27) = 0 }

\mathbf{(x - 10) \times (x^2 + 12x + 27) = 0 }

Expand

\mathbf{x^3 + 12x^2 + 27x - 10x^2 - 220x - 270 = 0 }

Collect like terms

\mathbf{x^3 + 12x^2 - 10x^2+ 27x  - 220x - 270 = 0 }

\mathbf{x^3 + 2x^2 - 193x - 270 = 0 }

Replace 0 with y

\mathbf{y = x^3 + 2x^2 - 193x - 270 }

Hence, the standard form is: \mathbf{y = x^3 + 2x^2 - 193x - 270 }

Read more about graphs and functions at:

brainly.com/question/18806107

3 0
3 years ago
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