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inessss [21]
2 years ago
6

please help me! A cylindrical propane tank is filled for a cost of $0.03 per in3. The tank has a radius of 24 in. and a height o

f 60.5 in. What is the cost to fill the propane tank? Use 3.14 to approximate pi.
Mathematics
1 answer:
Sveta_85 [38]2 years ago
7 0
Step one on this problem would be to write the equation you need. V= \pi r^2 h \\ and  \\ P=.03V Pwould be Price, r your radius, h your hight, and V your volume. now lets plug them in 109,422.72= (3.14) (24)^2 (60.5)  \\ 3282.6816=(.03)(109,422.72) therefor the answer would be $3282.68 or $3282.69 depending on if you always round up with money or not in your class (in the real world this is common). if you need help understanding plase let me know.
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Find the product. (n 7)2 n² 14n 14 2n² 14n 49 n² 14n 49.
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The product of \rm (n+7)^2 is \rm n^2+14n+49.

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The product of \rm (n+7)^2.

<h3>What is multiplication?</h3>

Multiplication is the process of calculating the product of two or more numbers.

The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.

The product of \rm (n+7)^2 is given by;

\rm =(n+7)^2\\\\=(n+7)\times (n+7)\\\\= n(n+7)+7(n+7)\\\\=n^2+7n+7n+49\\\\=n^2+14n+49

Hence, the product of \rm (n+7)^2 is \rm n^2+14n+49.

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2 years ago
How many like terms are in the expression:5a^2+6b+a^2-3b-2+4c.
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7 0
1 year ago
A furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week. Each chair produced requir
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The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

  • 16 chairs; 24 tables
  • Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
  • Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608  
  • 15 chairs; 18 tables
  • Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
  • Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480  
  • 12 chairs; 28 tables
  • Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
  • Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636  
  • 18 chairs; 20 tables
  • Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
  • Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544

Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:

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  • 975 + 1,620 = X
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Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

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