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wel
3 years ago
9

Compute the total cost of the meal to the nearest cent: meal costs $24.62 plus 6% tax and 15% tip.​

Mathematics
1 answer:
matrenka [14]3 years ago
7 0

The total cost of the meal is $30.02

Step-by-step explanation:

Given,

Cost of meal = $24.62

Tax = 6%

Tax amount = 6% of cost of meal

Tax\ amount=\frac{6}{100}*24.62\\Tax\ amount=\frac{147.72}{100}\\Tax\ amount=\$1.48

Cost after sales tax = 24.62+1.48 = $26.10

Tip = 15%

Tip amount = 15% of cost after sales tax

Tip\ amount=\frac{15}{100}*26.10\\\\Tip\ amount=\frac{391.5}{100}\\Tip\ amount=\$3.92

Total cost of meal = Cost after sales tax + Tip amount

Total cost of meal = 26.10+3.92 = $30.02

The total cost of the meal is $30.02

Keywords: percentage, sales tax

Learn more about percentages at:

  • brainly.com/question/13087541
  • brainly.com/question/13096411

#LearnwithBrainly

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Evaluate for x = 3 and y = 4: x^-2y^2/x^0y^3 1/36 4/9 1024/9
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Answer:

\frac{1}{36}

Step-by-step explanation:

Evaluating the numerator and denominator before evaluating

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a^{-n} ⇔ \frac{1}{a^{n} }, a^{0} = 1

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\frac{16}{9} ÷ 64

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Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 270 em
allsm [11]

Answer:

The number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf for the complete question.

The explanation of the answers is now provided as follows:

Let U, A and W represents number of empty seats of United Continental, American, and Southwest respectively. Therefore, we have:

U + A + W = 270 ………………………. (1)

Since United Continental had three times as many empty seats as American, this implies that:

U = 3A ………………………………… (2)

Substituting U = 3A into equation (1), we have:

3A +A + W = 270

4A + W = 270

W = 270 - 4A ………………………….. (3)

For the cost, we have:

3,000[((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100)] = $114,990

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = $114,990 / 3,000

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = 38.33

0.447A + 0.146A + 0124W = 38.33

0.593A + 0.124W = 38.33 ………………… (4)

Substituting W = 270 - 4A from equation (3) into (4) and solve for A, we have:

0.593A + 0.124(270 - 4A) = 38.33

0.593A + 33.48 - 0.496A = 38.33

0.593A - 0.496A = 38.33 - 33.48

0.097A = 4.84

A = 4.84 / 0.097

A = 49.8969072164948

Rounding to a whole number, we have:

A = 50

Substituting A = 50 into each of equations (2) and (3), we have:

U = 3 * 50 = 150

W = 270 - (4 * 50) = 70

Therefore, the number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Download pdf
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