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natita [175]
3 years ago
14

Some jobs pay a commission plus a bonus at the end of the year. The bonus may be the percent

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

a) If Sales = $6412454, then Gross Pay = $471315.369.

If Sales = $412454, then Gross Pay = $30315.369.

b) If Sales = $316250, then Gross Pay = $23244.375.

Step-by-step explanation:

This is a simple question. Madelyn earns a commission plus a bonus from her job. The commission is 7% of sales and the bonus is 5% of the commission. Therefore:

a) If her sales are $6412454, then her gross pay will include:

Gross Pay = $6412454 * 7% + ($6412454 * 7%) * 5%.

Gross Pay = $448871.78 + $22443.589 .

Gross Pay = $471315.369.

I assume there is a typo in the question, so just in case, I will also calculate the gross pay for her sales equaling $412454.

Gross Pay = $412454 * 7% + ($412454 * 7%) * 5%.

Gross Pay = $28871.78 + $1443.589 .

Gross Pay = $30315.369.

b) If her sales are $316250, then her gross pay will include:

Gross Pay = $316250 * 7% + ($316250 * 7%) * 5%.

Gross Pay = $22137.5 + $1106.875  .

Gross Pay = $23244.375.

To summarize:

If Sales = $6412454, then Gross Pay = $471315.369!!!

If Sales = $412454, then Gross Pay = $30315.369!!!

If Sales = $316250, then Gross Pay = $23244.375!!!

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elise says "if you subtract 13 from my number and multiply the difference by -4, the result is -48." what is elise's nunber
monitta

Answer:

Elise's number is 25.

Step-by-step explanation:

-4(x - 13) = -48

-4x + 52 = -48

      -52     -52

------------------------

-4x = -100

/-4      /-4

-------------------------

x = 25

7 0
3 years ago
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I’m really confused on what the answer is supposed to be
kozerog [31]

Answer:

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Step-by-step explanation:

Taking the left part of the inequality :

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Solution :

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2 years ago
Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval is the function decreasing?
daser333 [38]
As you progress in math, it will become increasingly important that you know how to express exponentiation properly.

y = 2x3 – x2 – 4x + 5  should be written    <span>y = 2^x3 – x^2 – 4^x + 5.  The 
" ^ " symbol denotes exponentiation.

I see you're apparently in middle school.  Is that so?  If so, are you taking calculus already?  If so, nice!

Case 1:  You do not yet know calculus and have not differentiated or found critical values.  Sketch the function          </span>y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5).  Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?

Case 2:  You do know differentiation, critical values and the first derivative test.  Differentiate  y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:

dy/dx = 6x^2 - 2x - 4 = 0.  Reduce this by dividing all terms by 2:

dy/dx = 3x^2 - x - 2 = 0    I used synthetic div. to determine that one root is x = 2/3.  Try it yourself.  This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1.  Again, you should check this.

Now we have 2 roots:  -1 and 2/3

Draw a number line.  Locate the origin (0,0).  Plot the points (-1, 0) and (2/3, 0).  This subdivides the number line into 3 subintervals:

(-infinity, -1), (-1, 2/3) and (2/3, infinity).

Choose a test number from each interval and subst. it for x in the derivative formula above.  If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.

Ask all the questions you want, if this explanation is not sufficiently clear.

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3 years ago
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Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $
ycow [4]

Answer:

The price of a package of chocolate chip is $13.25

The price of a package of gingerbread is $17.18

Step-by-step explanation:

11x + 12y = 352

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Let "x" be the price of a package of chocolate chip.

Let "y" be the price of a package of gingerbread.

11x + 12y = 352(Multiply the 1st row by 10)

10x +8y = 270 (Multiply the 2nd row by 11)

-------------------

110x + 120y = 3520

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--------------------------

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