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Roman55 [17]
2 years ago
6

If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week, and as paid a weekly salary of $452 plus a commission

of .9% on sales between $15,000 and $25,000, with 1.1% paid on sales in excess of $25,000, no commission is paid on the first $15,000, what is his gross earning?
Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
3 0

Answer:

Gross income= $813.61

Step-by-step explanation:

Giving the following information:

Sales= $32,874

Fixed salary= $452

Commission= 1.1% paid on sales in excess of $25,000.

<u>To calculate the gross income, we need to use the following formula:</u>

Gross income= 452 + y*x

y= percentage comission

x= sales

<u>For $32,874 sales:</u>

Gross income= 452 + 0.011*32,874

Gross income= $813.61

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Given that a rectangle with length $3x$ inches and width $x + 5$ inches has the property that its area and perimeter have equal
scoray [572]

Answer:

First, we need to know how to calculate the area and the permiter of a rectangle.

To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.

Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:

3x * (x+5) = 3x + 3x + x + 5 + x + 5

Now we solve the equation:

3x^2 +15x = 6x + 2x + 10

3x^2+15x =8x + 10

3x^2+15x-8x-10=0

3x^2+7x-10=0\\\\x_1=\frac{-10}{3}\\x_2 = 1

As the negative result doesn't have sense, we only pick the second one: 1.

If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches

7 0
2 years ago
Read 2 more answers
Q. Fine Floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how
creativ13 [48]

It takes 5.22 hours to install carpeting in a room

Step-by-step explanation:

At first lets find the relation between yard, feet and inch

1. 1 yard = 3 feet

2. 1 foot = 12 inches

3. 1 yard = 36 inches

Let us change all measures to inches

∵ 1 yard = 36 inches

∴ 1 yard² = (36)² inches²

-  Fine Floors can install 15 square yards of carpeting in 4 hours and

  30 minutes

∵ 15 yard² = 15 × (36)² inches²

∴ 15 yards² = 19440 inches²

∵ 1 hour = 60 minutes

∴ 30 minutes = 30/60 = 0.5 hour

∴ 4 hours and 30 minutes = 4.5 hours

∴ Fine Floors can install 19440 inches² in 4.5 hours

∵ The dimensions of the room are 11 feet 9 inches by 13 feet 4 inches

∵ 1 foot = 12 inches

∴ 11 feet 9 inches = 11 × 12 + 9 = 141 inches

∴ 13 feet 4 inches = 13 × 12 + 4 = 160 inches

∴ The area of the room = 141 × 160 = 22560 inches²

Now lets use the ratio method to answer the question

⇒ area of carpeting (in²)      :      time of carpeting (hr)

⇒ 19440                                :      4.5

⇒ 22560                               :      h

By using cross multiplication

∴ 19440 h = 4.5 × 22560

∴ 19440 h = 101520

- Divide both sides by 19440

∴ h = 5.22 hrs

It takes 5.22 hours to install carpeting in a room

Learn more:

You can learn more about the rate in brainly.com/question/13053630

#LearnwithBrainly

8 0
2 years ago
Read 2 more answers
The blue M&amp;M was introduced in 1995. Before then, the color mix in a bag of plain M&amp;Ms was (30% Brown, 20% Yellow, 20% R
IRISSAK [1]

Answer:

The probability that the yellow M&M came from the 1994 bag is 0.07407 or 7.407%

Step-by-step explanation:

Given

Before 1995

(Br) Brown = 30%

(Y) Yellow = 20%  =0.2

(R) Red = 20%

(G) Green =10%  =0.1

(O) Orange = 10%

(T) Tan = 10%

 

After 1995

(Br) Brown = 13%

(Y) Yellow = 14%  =0.14

(R) Red = 13%

(G) Green = 20% = 0.2

(O) Orange = 16%

(Bl) Blue = 24%

Since there are two bags, let A be the bag from 1994, and B be the bag from 1996

Then let AY imply we drew a yellow M&M from the 1994 bag

AG implies we drew a green M&M from the 1994 bag

BY implies imply we drew a yellow M&M from the 1996 bag

BG implies we drew a green M&M from the 1996 bag

P(AY) =0.2

P (BY) = 0.14

P(AG) =0.1

P(BG) =0.2

Since the draws from the 1994 and 1996 bag are independent,

therefore

P(AY n BG) = 0.2 * 0.2 = 0.04  -------(1)\\P(AG n BY) =0.1 * 0.14 =0.014   --------(2)\\

The draws can happen in either of the 2 ways in (1) and (2) above

therefore total probability E is given as

E =P( AY n BG) u P(AG n BY)\\=0.04 + 0.014 =0.O54

For the yellow one to be from 1994, it implies that the event to be chosen is

P(AYnBG) = 0.2*0.2

Since the total probability is given as E=0.054

then P((AYnBG) /E) =\frac{0.04}{0.054} = 0.07407

Concluding statement: This is the condition for the Yellow one to come from 1994 and green from 1996 provided that they obey the condition from E

4 0
2 years ago
Suppose the diameter at breast height (in.) of a certain type of tree is distributed normally with a mean of 8.8 and a standard
SpyIntel [72]

Answer:14

Step-by-step explanation:

beacsue i just kno i have been working on it ofro days 7+7 1+7  

and plase read the pargraphh if you don't i will (; , cryyyyyyyyyyyyyyyyyyyingggggggggggggg

aragraphs are the building blocks of papers. Many students define paragraphs in terms of length: a paragraph is a group of at least five sentences, a paragraph is half a page long, etc. In reality, though, the unity and coherence of ideas among sentences is what constitutes a paragraph. A paragraph is defined as “a group of sentences or a single sentence that forms a unit” (Lunsford and Connors 116). Length and appearance do not determine whether a section in a paper is a paragraph. For instance, in some styles of writing, particularly journalistic styles, a paragraph can be just one sentence long. Ultimately, a paragraph is a sentence or group of sentences that support one main idea. In this handout, we will refer to this as the “controlling idea,” because it controls what happens in the rest of the paragraph.

8 0
2 years ago
A combination washer/dryer costs $1,179. New parts for this washer/dryer cost $211, labor to repair it costs $553, and shipping
Keith_Richards [23]
The better deal is the Full Warranty, by approximately 174 dollars. To solve the cost of the full warranty, simply multiply 30 percent times the cost of the washer/dryer.30 x 1,179 = 353.70. You do not need to add anything to this because the warranty covers the extra costs. To solve for the cost of the limited warranty, multiply 14 percent times the cost of the washer/dryer, plus the cost of the new parts and the repair center costs (the warranty only covers the labor repair costs): (.14 x 1,179) + 211 + 152 --> 165.06 + 211 + 152 = 528.06. The full warranty is clearly cheaper. To figure out by how much, simply subtract the full warranty from the limited warranty: 528.06 - 353.70 = 174.36. To round to the nearest number, take off the decimal: 174. So that means your answer is D hope this helps.
3 0
2 years ago
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