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defon
2 years ago
10

The sale tax on an item is %6. Express the total cost, C, in terms of the price of the item, P.

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
5 0
<h3>Answer: C = 1.06P</h3>

==========================================================

Explanation:

The sales tax is 6% of the price P

6% of P = 0.06P

Add on the original cost P to get P+0.06P = (1+0.06)P = 1.06P

The 1.06 indicates the final after tax cost is 106% of the original price.

You can think of it like 100% + 6% = 106% = 1.06

So that's how we end up with C = 1.06P

-----------

An example using actual numbers:

Let P = $100 be the initial cost before tax

6% of P = 0.06*P = 0.06*100 = 6 dollars is the tax

100+6 = 106 is the final cost

Note how C = 1.06P = 1.06*100 = 106

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4(9-x)6-6(4-7x)&gt;5(1-2x)-8x+9(6-x)
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Answer:

x > 133/45

WORKING :

Multiply the number : 4 . 6 = 24

24(9-x) - 6 (4 - 7x) > 5 (1 - 2x) - 8x + 9 (6-x)

expand 24(9 - x) - 6(4 -7x) : 18x + 192

expand 5(1-2x) - 8x + 9(6-x) : - 27x + 59

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18x + 192 - 192 > -27x + 59 - 192

simplify

18x > -27x - 133

add 27x to both sides

18x + 27x > - 27x - 133 + 27x

simplify

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Divide both sides by 45

45x/45 > 133/45

Simplify

x > 133/45

FINALLY ANSWER :

X > 133/45

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