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Hunter-Best [27]
3 years ago
14

The Mountain Springs Water Company has two departments, Purifying and Bottling. The Bottling Department received 67,000 liters f

rom the Purifying Department. During the period, the Bottling Department completed 65,000 liters, including 3,000 liters of work in process at the beginning of the period. The ending work in process was 5,000 liters. How many liters were started and completed during the period?
Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer: 62,000 liters.

Step-by-step explanation:

Given: The Bottling Department received 67,000 liters from the Purifying Department.

The ending work in process was 5,000 liters.

During the period, the Bottling Department completed 65,000 liters, including 3,000 liters of work in process at the beginning of the period.

The number of liters were started and completed during the period is give by:-

L=65,000-3,000=62,000\ \text{liters}

Hence, During the period 62,000 liters were started and completed during the period

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A substance weighing 961 ounces decays at a rate of 3.2% PER HOUR. What is the weight of the substance after ONE DAY?
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Answer:

<u><em></em></u>

  • <u><em>32 days</em></u>

Explanation:

Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:

First night:          1 penny = 2⁰

Second night:    1 × 2 pennies = 2¹

Third night:        2 × 2 = 2²

Fourth nigth:      2² × 2 = 2³

nth night:           2ⁿ⁻¹

You want 2ⁿ⁻¹ ≥ 2,000,000,000

Which you solve in this way:

  • 2ⁿ⁻¹  ≥ 2,000,000,000

  • 2ⁿ⁻¹ ≥ 2,000,000,000

  • n-1 log (2)  ≥ log (2,000,000,000)

  • n - 1  ≥ log (2,000,000,000) / log (2)

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Since n is number of days, it is an integer number, so n ≥ 32.

Hence, she will have a total of more than $ 2 billion after 32 days.

You can prove that by calculating 2³² = 2,147,483,648.

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Answer:

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3 years ago
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