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19 July, 19:56

Indicate the correct alternative. The expression (10%) ² - (5%) ² is equivalent to:

1) 75%

2) 7.5%

3) 0.75%

4) 25%

5) 2.5%

6) 0.075%

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Answers (1)
  1. 19 July, 22:17
    0
    Convert 10% into a decimal

    (0.1) ^{2} - (5%) ^{2}

    Remove parentheses around 0.1

    0.1^{2} - (5%) ^{2}

    Raise 0.1 to the power 2 to get 0.1

    0.01 - (5%) ^{2}

    Convert 5% to a decimal

    0.01 - (0.05) ^{2}

    Remove parentheses around 0.05

    0.01-0.05^{2}

    Raise 0.05 to the power of 2 to get 0.0025

    0.01-1*0.0025

    Multiply - 1 by 0.0025 to get - 0.0025

    0.01-0.0025

    Subtract 0.0025 from 0.01 to get 0.0075

    You Answer is: 0.0075
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