Marcus can choose between a monthly salaryof $1,500 plus 5.5% of sales or $2,400 plus 3% of sales. He expects sales
between $5,000 and $10,000 a month. Which salary option should he
choose? Explain

Answers

Answer 1
Answer: Marcus should choose $2,400 plus 3% of sales. 

His salary is composed of a fixed salary and a variable salary.

Fixed Salary   +   Variable Salary  = Monthly Salary
2400                   150 (3% of 5k)    = 2350  - minimum salary he'll receive
2400                   300 (3% of 10k)  = 2700  - maximum salary he'll receive

VS

Fixed Salary    + Variable Salary  = Monthly Salary
1500                  275 (5.5% of 5k) = 1775 - minimum salary he'll receive
1500                  550 (5.5% of 10k) = 2,050 - maximum salary he'll receive

As you can see, despite the high percentage of sales offered, it is not a good option because the fixed salary is low as compared to the other option. Even the maximum salary he'll receive under the option $1500 is way lower than the minimum salary he'll receive under the option $2400.
Answer 2
Answer:

Answer:

Marcus can choose between a monthly salary of $1,500 plus 5.5% of sales or $2,400 plus 3% of sales. He expects sales between $5,000 and $10,000 a month. Which salary option should he choose? Explain.

Step-by-step explanation:


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James's garden has a length of 12 1/4 feet and a width of 9 2/3 feet. What length of fencing will he need to surround his garden?

I have one half of a square and i want to divide it one eighth how many pieces would I have

Answers

You will have 4 pieces.

Explanation

Suppose, the number of pieces is x

As each piece must be (1)/(8) of a square and you have initially (1)/(2) of a square, so the equation will be.....

(1)/(8)x= (1)/(2)\n \n x= (1)/(2)*8 = 4

So, you will have 4 pieces.

The 6th graders at Mahone Middle School are raising money for a new flowerbed in front of the school. For every $10 raised by the students, a local business owner will match 50%. If the students raise $139, is it reasonable that they will have $240 after the money is matched?

Answers

no it is not reasonable at all. after i did the math i got 208.5 dollars no where near 240!.
so this is not reasonable. 
no it is not reasonable
50%=50/100
so...
50/100*139/1=6950/100
so...
divide 6950 by 100 and get 69.5
so...
add 139 to 69.5 and you get 208.5

Hope this helps


Solve:
-3 (x + 5) = -9
x=?

Answers

Answer:

x=-2

Step-by-step explanation:

-3 (x + 5) = -9

Divide each side by -3

-3 (x + 5)/-3 = -9/-3

x+5 = 3

Subtract 5 from each side to isolate x

x+5-5 = 3-5

x=-2

Write an addition equation that can help you 9-6 explain your answer

Answers

6+3=9 because if you put 9-6=3 and they are fact families

Kate made a box to hold her jewelry collection. She used 42 inches of wood to build the sides of the box. If the box was 9 Inches wide, how long was the box

Answers

The correct answer for the question that is being presented above is this one: "11.5 inches."

Perimeter = 2W + 2L
42 = 2(9) + 2L
42 = 19 + 2L
2L = 23
L = 11.5 inches

So the other side of the box has a length of 11.5 inches.

Point C belongs to segment AB and segment AB= 35 cm. The distance from C to A is 6 cm longer than the distance from C to B. Find AC and CB.

Answers

Answer: AC = 20.5 cm   CB = 14.5 cm

Step-by-step explanation:

Since we know that segment AC is 6 cm longer than CB, we can can substitute AC as CB + 6.

CB = CB

AC = CB + 6

We know that AB is 35 cm, and AB is made up of AC and CB, so we now have the equation CB + CB + 6 = 35

Now, we solve.

CB + CB + 6 = 35

2CB = 29

CB = 29/2

CB = 14.5 cm

AC = CB + 6 = 14.5 + 6 = 20.5 cm

Answer:

AC = 20.5 cm

CB = 14.5 cm

Step-by-step explanation:

Let x be the distance from point C to point B:

\overline{\sf CB} = x \;\sf cm

Given that the distance from A to C is 6 cm longer than the distance from C to B, then:

\overline{\sf AC} = (x + 6) \;\sf cm

Now, we know that segment AB is 35 cm long, and it can be expressed as the sum of AC and CB, so:

\overline{\sf AC}+\overline{\sf CB}=\overline{\sf AB}

x+6+x=35

Solve for x:

\begin{aligned}2x+6&=35\n\n2x+6-6&=35-6\n\n2x&=29\n\n(2x)/(2)&=(29)/(2)\n\nx&=14.5\; \sf cm\end{aligned}

So, the lengths of the two line segments are:

\overline{\sf AC} = (14.5 + 6)=20.5 \;\sf cm

\overline{\sf CB} = 14.5 \;\sf cm