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Marat540 [252]
4 years ago
10

Cole gets paid $5,000 plus 16% of all his popcorn sales,x, while Michael gets A fixed salary of $55,000.Write an inequality that

represents the dollar amount of sales that Cole must generate each in order to make more than Michael
Mathematics
1 answer:
Hitman42 [59]4 years ago
4 0

Answer:

5000 + (0.16)x > 55,000

Step-by-step explanation:

<u><em>DATA:</em></u>

Michael's salary = $55,000

Cole's basic salary = $5,000

--> Commission = 16% of sales

--> Sales = x

<u><em>Cole's total salary</em></u>

<em>--> Basic salary + Commission x sales</em>

--> 5000 + 16% of x

--> 5000 + (0.16)x  as 16 percent is equal to 16/100 = 0.16

<u><em>Cole's total salary should be more than Michael's total salary</em></u>

5000 + (0.16)x > 55000

<em>--> Make x the subject</em>

0.16x > 55000-5000

0.16x > 50,000

x > 50,000/0.16

x > 312500

The inequality that represents the dollar amount of sales is 5000 + (0.16)x > 55000.

The dollar amount of sales that Cole must generate should be more than $312500.

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Step-by-step explanation:

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Two interior angles $A$ and $B$ of pentagon $ABCDE$ are $60^{\circ}$ and $85^{\circ}$. Two of the remaining angles, $C$ and $D$,
lisov135 [29]

The largest angle is E = 205°.

<h3>What is a pentagon?</h3>
  • A pentagon is any five-sided polygon or 5-gon in geometry.
  • A basic pentagon's internal angles add up to 540°.
  • A pentagon might be straightforward or self-intersecting.
  • A pentagram is a self-intersecting regular pentagon (or a star pentagon).

To find the measure of the largest angle:

The sum of interior angles of a polygon is:

  • Sum = 180° × (n - 2)

Where n is the number of sides.

Here n = 5, as pentagon has 5 sides.

  • Sum = 180° × 3 = 540°

Let, C = D = x

Then, E = 2x + 15 (15 more than twice C)

We can express the sum of the 5 angles as:

  • 60 + 85 + x + x + 2x + 15 = 540

Simplify the left side by collecting like terms:

  • 4x + 160 = 540

Subtract 160 from both sides:

  • 4x + 160 - 160 = 540 - 160
  • 4x = 380

Divide both sides by 4:

  • 4x/4 = 380/4 = x = 95
  • C = D = x = 95°
  • E (2 × 95) + 15 = 205°

The 5 interior angles of the pentagon are:

  • 60° + 85° + 95° + 95° + 205° = 540°

The largest angle is E = 205°.

Therefore, the largest angle is E = 205°.

Know more about a pentagon here:

brainly.com/question/25917702

#SPJ4

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Answer:

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