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elixir [45]
3 years ago
9

Serenity works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commision o

n top of her base salary equal to 25% of her total sales for the week. How much would Serenity make in a week in which she made $1075 in sales? How much would Serenity make in a week if she made x dollars in sales?
Mathematics
1 answer:
madam [21]3 years ago
5 0

Answer:

$568.75

Step-by-step explanation:

Serenitys salary s is given by the equation:

s = 300 + 0.25*x

In case of x = 1075:

s = 300 + 0.25*1075 = 568.75

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Evaluate the double integral i=∫∫dxyda where d is the triangular region with vertices (0,0),(4,0),(0,4).
mario62 [17]
I=\displaystyle\iint_D\mathrm dA=\int_{x=0}^{x=4}\int_{y=0}^{y=4-x}\mathrm dy\,\mathrm dx
I=\displaystyle\int_{x=0}^{x=4}(4-x)\,\mathrm dx
I=8

To verify this, we can simply find the area of the triangle using the well-known formula \dfrac12bh, where b and h are the base and height, respectively of the triangular region D. We have b=h=4, so the area is \dfrac{4^2}2=8, as expected.
8 0
3 years ago
Which answer best describes how tension typically varies in the plot of a narrative?
UkoKoshka [18]

Answer:

Rising action includes the series of events (usually the conflicts or struggles of the protagonist) that increase tension, propel the plot forward, and lead to the climax of the story.

Step-by-step explanation:

3 0
2 years ago
The nth term of a sequence is 3n2 what is the term in the sequence with a value greater with 1000
Dmitriy789 [7]

Answer:

19 > 1083

Step-by-step explanation:

Given: The nth term of a sequence is given by .  

let βn be the nth term.

           then βn = 3n²

Let x be the term which is the first one with a value greater than 1000.

19 th term is the first one with a value greater than 1000 the sequence that is βx > 1000

         3x² > 1000

divide by 3

           3x²/3 > 1000/3

            x² > 1000/3

            x² > 333.33.....

to make x the subject of the formula, square root both sides

√x² > √333.333

the square cancel the square root at x

x > √333.333

x>18.257

x > 19 approximately

19 th term is the first one with a value greater than 1000 the sequence.

that is: β19 = 3(19)²

            3(316)²

               =1083.

Hope it will help.


6 0
3 years ago
Plz answer this asap
rjkz [21]

Answer:

50%

Step-by-step explanation:

6 0
3 years ago
Solve this linear equation <br> 2(x+6)&lt;3x+8
FinnZ [79.3K]

Answer:

x > 4

Step-by-step explanation:

Given

2(x + 6) < 3x + 8 ← distribute left side

2x + 12 < 3x + 8 ( subtract 3x from both sides )

- x + 12 < 8 ( subtract 12 from both sides )

- x < - 4

Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

x > 4

8 0
3 years ago
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