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sammy [17]
3 years ago
13

A salesperson set a goal to earn $2,500 in August. She receives a base salary of $1,000 per month as well as a 20% commission fo

r all sales in that month. How many dollars of merchandise will she have to sell to meet her goal?
Mathematics
1 answer:
kkurt [141]3 years ago
5 0

Answer:

$7,500

Step-by-step explanation:

The correct answer is:

Money needed from commission: $2,500 - $1,000 = $1,500

Percent equation: $1,500 = m × .20

Total merchandise to sell: $1,500 ÷ .20 = $7,500

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Keep in mind the the word "percent" translates to "for each 100." 25% can be read as "25 for each 100," which has the fractional representation \frac{25}{100} and the decimal representation 0.25. All of these representations are just different ways of writing the same value.

Note too that the fraction \frac{25}{100} can be reduced to \frac{1}{4}, so what the question is really asking is: 1/4 of what number is 9?

Well, if we know that 1/4 of the number is 9, we can easily find how large the whole number is by finding all 4/4 of it (the <em>whole</em> number)<em /><em />, or 4 x 9, which multiplies out to 36.
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Find the area of a circle, diameter measures 30 ft​
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Answer:

The A≈706.86

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Read 2 more answers
Identify the standard form of the equation by completing the square.
OLEGan [10]

Answer:

\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Step-by-step explanation:

<u>Given equation</u>:

4x^2-9y^2-8x+36y-68=0

This is an equation for a horizontal hyperbola.

<u>To complete the square for a hyperbola</u>

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

\implies 4x^2-8x-9y^2+36y=68

Factor out the coefficient of the x² term and the y² term.

\implies 4(x^2-2x)-9(y^2-4y)=68

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2

\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36

Factor the two perfect trinomials on the left side:

\implies 4(x-1)^2-9(y-2)^2=36

Divide both sides by the number of the right side so the right side equals 1:

\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}

Simplify:

\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Therefore, this is the standard equation for a horizontal hyperbola with:

  • center = (1, 2)
  • vertices = (-2, 2) and (4, 2)
  • co-vertices = (1, 0) and (1, 4)
  • \textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}
  • \textsf{Foci}: \quad  (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)

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Can a fraction be a whole number
Aleonysh [2.5K]
Yes. 1/1 is a fraction but it can be simplified to 1 which is a whole number.
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Hope this helped you :)

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