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11Alexandr11 [23.1K]
3 years ago
6

What is the net decimal equivalent of the series 30/25/15. round to the nearest thousandths?

Mathematics
1 answer:
Brut [27]3 years ago
7 0
<span>We can determine, a 30/25/15 series trade discount would be calculated as follows:

let X = retail price.

X - 0.30 </span>× X = Y    ⇒ first discounted price.
<span>
Y - 0.25 </span>× Y = Z    ⇒ second discounted price.
<span>
Z - 0.15*Z = T        </span>⇒ total discounted price.
<span>
X - 0.30 </span>× X = (1 - 0.30) × X = 0.70 × X = Y
<span>
Y - 0.25 </span>× Y = (1 - 0.25) × Y = 0.75 × Y = Z
<span>
Z - 0.15 </span>× Z  = (1 - 0.15) × Z  = 0.85 × Z = T
<span>
since Z = 0.85 </span>× Y, then 0.85 × Z = 0.85 × 0.75 × Y
<span>
since Y = 0.70 </span>× X, then 0.85 × Z = 0.85 × 0.75 × 0.70 × X
<span>
based on the above, then T = total discount


                                               = 0.85 </span>× 0.75 × 0.70 × X


                                               = 0.44625X<span>

30/25/15 series discount is equivalent to a total discount of 44.625%
</span>
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The factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

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Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

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= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

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