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Marat540 [252]
3 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]3 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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A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. The followin
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Answer:

<u><em></em></u>

  • <u><em>32 days</em></u>

Explanation:

Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:

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Second night:    1 × 2 pennies = 2¹

Third night:        2 × 2 = 2²

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Since n is number of days, it is an integer number, so n ≥ 32.

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You can prove that by calculating 2³² = 2,147,483,648.

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