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mamaluj [8]
2 years ago
12

Help me please please

Mathematics
2 answers:
aniked [119]2 years ago
7 0

Answer:

The total least sale amount is $5,000,000

Step-by-step explanation:

Given as :

The base salary amount of Carmen = $125,000

The commission percentage on total sale = 4%

The performance bonus amount = $25,000

The total compensation amount last year = $350,000

Let The total sale amount = $x

According to question

Total compensation amount last year = base salary amount + percentage on total sale + performance bonus amount

I.e  $350,000 =  $125,000 + 4% of x + $25,000

Or, $350,000 =  $150,000 + 4% of x

Or, 4% of x =  $350,000 - $150,000

Or, 4% of x =  $200,000

Or,  × x =  $200,000

Or, x =

∴   x = $5,000,000

So, The total sale amount = x = $5,000,000

Hence, The total least sale amount is $5,000,000  Answer

Step-by-step explanation:

igomit [66]2 years ago
3 0
The answer is 5,000,000
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Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra want
Alisiya [41]

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

  • L is its length
  • W is its width
  • H is its height

The volume of the cone is V = \frac{1}{3} π r² h, where

  • r is the radius of its base
  • h is its height

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = \frac{1}{2} diameter = \frac{1}{2} (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = \frac{1}{3} (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

   the volume of each cone

∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

6 0
3 years ago
Graph the line for y+1=−3/5(x−4) on the coordinate plane. Move Line Undo Redo Reset
dsp73

Answer:

The equation of  line is shown below.

Step-by-step explanation:

The equation of line is

y+1=\frac{-3}{5}(x-4)

It is the point slope form of a line, therefore the slope of the line is \frac{-3}{5} and the line passing through (4,-1).

Rewrite the above equation in slope intercept form.

y=\frac{-3}{5}x+\frac{12}{5}-1

y=\frac{-3}{5}x+\frac{12-5}{5}

y=\frac{-3}{5}x+\frac{7}{5}

The point slope form of a line is

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of the line is \frac{-3}{5} and the y-intercept of the line is \frac{7}{5}.

Slope is defined as

m=\frac{Rise}{Run}

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.

The y-intercept is (0,\frac{7}{5}).

(0-5,\frac{7}{5}+3)=(-5,\frac{22}{5})=(-5,4.4)

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.

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2 years ago
Write the point-slope equation of the line that passes through(3,5) and (7,1)
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or   y –5 = –1(x –3)

The attachment shows the graph of these equations (identical)

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate,  b is the y-value form the given coordinate,  m is the slope. x and y are the variables in the function.

To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."

Subtract the first coordinate from the second coordinate.

Given coordinate points: ​(3​,5) and ​(7​,1)    substitute values:

m= 1 –5 / 7 –3  becomes  m= –4/4   so the slope, m = –4/4

That is –1  The "1" is "understood," so only the negative sign represents the slope  in the equation

To write the equation:  Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.

y - b = m(x - a)  Using the second coordinate: (7,1)

y - 1 = –(x –7)

or using the first coordinate:

y –5 = –(x –3)

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3 years ago
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