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lidiya [134]
3 years ago
11

Kent worked in the houseware section of a department store. This year he set a record high for vacuum sales with567 vacuum sold.

The previous yearhigh was set last year, when 540 vacuums were sold. What is the percent of increase in sales from last year to this year?
Mathematics
1 answer:
Gemiola [76]3 years ago
5 0
First subtract the original high from the new high:
567 - 540 = 27 more vacuums sold.

Now divide the increase amount by the original high and multiply that by 100 to get the percentage:

27 / 540 = 0.05

0.05 * 100 = 5% Increase.
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Boris wants to buy new carpet for his living room floor. The floor is in the shape of a rectangle. Its length is 16 feet and its
Flura [38]
Use the are formula for a rectangle which is Length times Width to find the amount of square feet of carpeting.(16 times 14=224ft^2) Then you need multiply 224 by 12 because you have 224 square feet at $12 per square foot. So in the end it will cost $2688 to get the new carpet.
8 0
3 years ago
PLEASE HELP
kolbaska11 [484]

Answer:

  • a) P(x) = 32000*1.04^x
  • b) $37435
  • c) During year 7

Step-by-step explanation:

<u>Given</u>

  • Initial pay = $32000
  • Increase rate = 4%

a. <u>Formula</u>

  • P(x) = 32000*1.04^x

b. Year 5 is after 4 years, so we are looking for the value of P(4)

  • P(4) = $32000*1.04^4 = $37435

c. <u>P(x) = 40000, x = ?</u>

  • 40000 = 32000*1.04^x
  • 1.04^x = 40000/32000
  • 1.04^x = 1.25
  • log 1.04^x = log 1.25
  • x = log 1.25 / log 1.04
  • x = 5.69, this is 6 years after

The required number of the years is 6 + 1 = 7

3 0
3 years ago
Hey i really need help with this. thank you:))
balandron [24]

Given:

L=2\dfrac{1}{2} ft and W=3\dfrac{2}{5} ft.

P=2L+2W

To find:

The value of P.

Solution:

We have,

P=2L+2W

Substituting L=2\dfrac{1}{2} and W=3\dfrac{2}{5}, we get

P=2\times 2\dfrac{1}{2}+2\times 3\dfrac{2}{5}

P=2\times \dfrac{2(2)+1}{2}+2\times \dfrac{3(5)+2}{5}

P=2\times \dfrac{5}{2}+2\times \dfrac{17}{5}

P=5+\dfrac{34}{5}

Taking LCM, we get

P=\dfrac{5(5)+34}{5}

P=\dfrac{25+34}{5}

P=\dfrac{59}{5}

P=11\dfrac{4}{5}

Therefore, the value of P is 11\dfrac{4}{5} ft.

7 0
3 years ago
Triangle DEF has vertices D(−4, 1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the point (1, 1) as the point of
CaHeK987 [17]

Answer: D'(-14,1);\ E'(4,7);\ F'(4,1)

Step-by-step explanation:

Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':

D_{O,k}(x,y)=(k(x-a)+a, k(y-b)+b)

Where "O" is the center of dilation at (a,b) and "k" is the scale factor.

In this case you can identify that:

(a,b)=(1,1)\\k=3

Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:

Vertex D' → (3(-4-1)+1,\ 3(1-1)+1)=(-14,1)

Vertex E' → (3(2-1)+1,\ 3(3-1)+1)=(4,7)

Vertex F' → (3(2-1)+1,\ 3(1-1)+1)=(4,1)

6 0
3 years ago
Write the number that is 1 more than 8,325
borishaifa [10]
The answer is to this question is 8,326
3 0
3 years ago
Read 2 more answers
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