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question 3 evaluate each of the following. (a) \\(0.07 \\times 0.6\\) (…

Question

question 3
evaluate each of the following.
(a) \\(0.07 \times 0.6\\)
(b) \\(15\\%\\) of \\(\\$480\\)
(c) increase \\(\\$650\\) by \\(20\\%\\).
(d) a \\(\\$90\\) item is sold for \\(\\$63\\). find the percentage discount.

Explanation:

Evaluate decimal multiplication

Using the Decimal Multiplication knowledge point

$$ LATEXBLOCK0 $$

Calculate percentage of a value

Using the Fractions knowledge point

$$ LATEXBLOCK1 $$

Thus, the value is \(\$72\).

Calculate percentage increase

To increase \(\$650\) by \(20\%\), we find \(20\%\) of \(\$650\) and add it to the original amount:

$$ LATEXBLOCK2 $$

Thus, the increased amount is \(\$780\).

Calculate percentage discount

First, find the discount amount, then divide by the original price and convert to a percentage:

$$ LATEXBLOCK3 $$

Thus, the percentage discount is \(30\%\).

Answer:

Question 3

(a) \(0.042\)

(b) \(\$72\)

(c) \(\$780\)

(d) \(30\%\)