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2 years ago

A store buys 8 sweaters for $72 and sells them for $288. How much profit does the store make per sweater?

Mathematics

2 answers:

Y_Kistochka [10]2 years ago

4 0

Answer:

f5f5

Step-by-step explanation:

lbvjy [14]2 years ago

3 0

Answer:

$216.

Step-by-step explanation:

Divide for the cost of 1 sweater, 72 divided 8, $9.

Divide $288 by 8, to get cost they sold each sweater, $36.

So the store sold each sweater $36 having bought each for $9.

Subtract $9 from $36 to get profit per sweater, $27.

Then multiply $27 by 8 for the total profit, $216.

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The observation deck is about 20 m above sea level. From the observation deck, the angle of depression of the boat is 6 degrees.

Leno4ka [110]

θ\ 6 degrees
    \
\ so the θ= 180-90-6 =84 degrees so we need to find x
20m   \ tan (84)=x/20
  ____  \ x=20 tan(84)
x x=190.287

7 0

3 years ago

Pleasse help me with this

djverab [1.8K]

Answer:

Step-by-step explanation:

30% off of $18.00

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2 years ago

Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

7 0

3 years ago

Read 2 more answers

What is the length of XPY in terms of pi?

Elis [28]

Circumference of a circle = 2πr

Circumference of the whole circle= 2π(30) = 60π

360 - 90 = 270

Length XPY = 270/360 x 60π = 45π

Answer: 45π m

5 0

3 years ago

Read 2 more answers

Identify whether the given pairs of events in a roulette game are mutually exclusive. Drag the items on the left to the correct

xxTIMURxx [149]

Answer:

Correct

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Correct

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Step-by-step explanation:

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2 years ago