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pentagon [3]
3 years ago
14

A dairy needs 332 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk contai

ning 3% butterfat must be used to obtain the desired 332 gallons?
Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:

249 gallons of 7% butterfat milk and 83 gallons of 3% butterfat milk

Step-by-step explanation:

If x is the gallons of 7% butterfat milk, and y is the gallons of 3% butterfat milk, then:

x + y = 332

0.07x + 0.03y = 0.06(332)

Solve the system of equations using substitution:

0.07x + 0.03(332 − x) = 0.06(332)

0.07x + 9.96 − 0.03x = 19.92

0.04x = 9.96

x = 249

y = 332 − x

y = 83

You need 249 gallons of 7% butterfat milk and 83 gallons of 3% butterfat milk.

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The total amount of money accrued ( principal and interest ) in 35 years is $570.78.

<h3>What is the total amount accrued?</h3>

The formula for compound interest is expressed as;

A = P( 1 + r/t )^(n×t)

Given the data in the question;

  • Principal P = $200
  • Rate r = 3% = 3/100 = 0.03
  • Compounded monthly n = 12
  • Time t = 35
  • Amount accrued in 35 years A = ?

Plug the given values into the equation above.

A = P( 1 + r/n )^(n×t)

A = 200( 1 + 0.03/12 )^(12×35)

A = 200( 1 + 0.0025 )^(420)

A = 200( 1.0025 )^(420)

A = 200( 2.85390914 )

A = $570.78

Therefore, the total amount of money accrued ( principal and interest ) in 35 years is $570.78.

Learn more about compound interest here: brainly.com/question/27128740

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Step-by-step explanation:

$75      30%      0.70(75) = x      $52.50

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$60      30%     0.70x = 42        $42

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Answer:

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Step-by-step explanation:

We all know its just that you've spent all your money on Fortnite and you want more on there.

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Answer:

The correct answer would be C

Step-by-step explanation:

Looking at the data, you can tell that the first two are going to be wrong. The minimum is 1, and the maximum is 5.

A mode, by definition, is the number that appears most in the data. According to answer D, 3 appears 3 times in the data. That is incorrect, as 3 only appears twice in the data.

This leaves only answer C. We need to make sure it's correct. The answer mentions the mean as a value between 2 and 3. Mean is the average. To find the average, you must add all the values together first.

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