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12345 [234]
3 years ago
9

The diagram shows the layout of Lena's kitchen. She is

Mathematics
2 answers:
Mariulka [41]3 years ago
5 0

Answer:

13

Step-by-step explanation:

Larger rectangle - smaller rectangle

(9×5) - [(5-2)×(9-7)]

45 - (3×2)

45 - 6

39 ft²

1 package : 3 ft²

X packages : 39 ft²

X/1 = 39/3

X = 13 packages

Setler79 [48]3 years ago
3 0

Answer:

13 packages

Step-by-step explanation:

We need to first find the area of the composite figure. We can draw a horizontal line through the figure so that it is broken up into two rectangles.

The top rectangle has dimensions of 9 ft by 2 ft, while the bottom rectangle has dimensions of 3 ft by 7 ft. The area of a rectangle is denoted by: A = lw, where l is the length and w is the width.

Here, the top rectangle has width 9 and length 2, so the area is A = 9 * 2 = 18 square feet. The bottom rectangle has width 7 and length 3, so the area is A = 7 * 3 = 21 square feet. Add these up:

18 + 21 = 39 square feet

We know that each package of tile will cover 3 square feet, so divide 39 by 3 to get the number of packages needed:

39 / 3 = 13

The answer is 13 packages.

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An amusement park is considering installing an outdoor ice-skating rink, which costs $950,000. Expenses for operating and mainta
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Answer:

<u>Yes, the outdoor ice skating rink should be installed.</u>

Step-by-step explanation:

We can reach this conclusion after simulating the profit for each possible scenario made by The US weather service estimates:

<u>For 80-day suitable weather per year:</u>

  • total invested capital =<u> </u>$950,000 + $200,000 (total operating and maintaining cost) = $1,150,000
  • per day revenue= 500 x $20 = $10,000
  • total revenue per season = $10,000 x 80 days = $800,000
  • total operating and maintaining cost = $2,500 x 80 = $200,000
  • total profit (returns) in a season = $800,000-$200,000<u> = $600,000</u>
  • per year rate of return before taxes =  52% (total profit / total invested capital *100; $600,000/$1,1150,000 *100 = 52%

<u>For 100 days suitable weather per year:</u>

  • total invested capital =<u> </u>$950,000 + $200,000 (total operating and maintaining cost) = $1,150,000
  • per day revenue= 400 x $20 = $8,000
  • total revenue per season = $8,000 x 100 days = $800,000
  • total operating and maintaining cost = $2,500 x 100 = $250,000
  • total profit (returns) in a season = $800,000-$250,000<u> = $550,000</u>
  • per year rate of return before taxes =  52% (total profit / total invested capital *100; $550,000/$1,1150,000 *100 = 47%

<u>For 120 days suitable weather per year:</u>

  • total invested capital =<u> </u>$950,000 + $200,000 (total operating and maintaining cost) = $1,150,000
  • per day revenue= 300 x $20 = $6,000
  • total revenue per season = $6,000 x 120 days = $720,000
  • total operating and maintaining cost = $2,500 x 120 = $300,000
  • total profit (returns) in a season = $800,000-$250,000<u> = $420,000</u>
  • per year rate of return before taxes =  52% (total profit / total invested capital *100; $420,000/$1,1150,000 *100 = 58%

Threfore, we notice that the 22% per year rate of return before taxes criteria was met in each of the possible scenarios, making the endeavor worthwhile.

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