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labwork [276]
2 years ago
7

The salesperson says that her commission is 8 1/2 % of the selling price.

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
3 0

Answer:

$44.63

Step-by-step explanation:

8.5% of 525 = 0.085 × 525 = 44.625 = $44.63

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Y varies jointly as x and z, and y = 32 m, x = 6 m, and z = 8 m. what is the value of y when x = 5 m and z = 12 m?
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As x = 5 & z=12, 

<span>2/3 = y /(xz) = y/(5*12) </span>

<span>= y/60 </span>

<span>so y / 60 = 2/3 </span>

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The equivalent expression for (x + 4)^5 is x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x  + 1024

The expression is given as:

(x + 4)^5

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1  + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5

Evaluate the exponents

(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024

Evaluate the products

(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x  + 1024

Hence, the equivalent expression for (x + 4)^5 is x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x  + 1024

Read more about binomial expressions at:

brainly.com/question/13602562

7 0
2 years ago
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On a trip to the dump Ralph took 56 pounds of garbage. His partner, Kyle, has 64 pounds. How many pounds of garbage did they get
katen-ka-za [31]

Answer:

120 pounds

Step-by-step explanation:

56 + 64 = 120 pounds

5 0
3 years ago
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