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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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7n+2 = 4n+17 solve the equation
lions [1.4K]

Answer:

n = -5

Step-by-step explanation:

Solve for n:

n + 2 = 4 n + 17

Hint: | Move terms with n to the left hand side.

Subtract 4 n from both sides:

(n - 4 n) + 2 = (4 n - 4 n) + 17

Hint: | Combine like terms in n - 4 n.

n - 4 n = -3 n:

-3 n + 2 = (4 n - 4 n) + 17

Hint: | Look for the difference of two identical terms.

4 n - 4 n = 0:

2 - 3 n = 17

Hint: | Isolate terms with n to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 3 n = 17 - 2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-3 n = 17 - 2

Hint: | Evaluate 17 - 2.

17 - 2 = 15:

-3 n = 15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 15 by -3:

(-3 n)/(-3) = 15/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 15/(-3)

Hint: | Reduce 15/(-3) to lowest terms. Start by finding the GCD of 15 and -3.

The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):

n = 5/(-1)

Hint: | Simplify the sign of 5/(-1).

Multiply numerator and denominator of 5/(-1) by -1:

Answer: n = -5

5 0
2 years ago
Six more than three times a number w. <br> An expression for this phase is..? <br><br> (Please help)
satela [25.4K]

Answer:6+3w

Step-by-step explanation:

So, our number is "W"

SO, 6  more than three times w is

6+3w

Three times w=3w

Then, it says 6 more, so we add 6

8 0
3 years ago
Read 2 more answers
You made two deposits to your bank account this month. One deposit was $17.92, and the second deposit was $15.33. Your balance a
stiks02 [169]

X+17.92+15.33=72.31

                        -17.92

                        -15.33

x= 39.06

The amount you started with was $39.06.

Hope this helps ;}

6 0
3 years ago
Read 2 more answers
- If 5! = 5 x 4 x3 x 2 x 1, then 4! =<br> A.<br> B.<br> C.<br> D.<br> 10<br> 16<br> 24<br> 96
Radda [10]

Answer:

24

Step-by-step explanation:

6 0
3 years ago
Am I dealing with harmonic stuff (trig)?
pochemuha

You just need to solve for when y=0:

\dfrac{\cos8t-9\sin8t}4=0\implies\cos8t-9\sin8t=0

\implies\cos8t=9\sin8t

\implies\dfrac19=\dfrac{\sin8t}{\cos8t}=\tan8t

\implies8t=\tan^{-1}\dfrac19+n\pi

\implies t=\dfrac18\tan^{-1}\dfrac19+\dfrac{n\pi}8

where n is any integer. We only care about when 0\le t\le1, which happens for n\in\{0,1,2\}.

t=\dfrac18\tan^{-1}\dfrac19\approx0.01

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi8\approx0.41

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi4\approx0.80

8 0
3 years ago
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