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3 years ago

11

How to solve the problem for this question. A jackets original price is $65.00. It is on sale for 40% off. You have to pay 5% sl

aes tax. What is the final price for the jacket?

1 answer:

Fed [463]3 years ago

5 0

New price = 65 - (65*0.4)
= 39
Sales tax = New price * percentage of sales tax
= 39*0.05 = 1.95
Final price = New price + sales tax
= 39+1.95 = 40.95

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Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

In this question, the expression $(9\, w^{2} - 100)$ is the difference between two terms: $9\, w^{2}$ and $100$ .

$9\, w^{2}$ is the square of $3\, w$ . That is: $(3\, w)^{2} = 9\, w^{2}$ .
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Hence:

$9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}$ .

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$\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}$ .

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