Answer:
Coupon B
Step-by-step explanation:
Given
![Price = \$450](https://tex.z-dn.net/?f=Price%20%3D%20%5C%24450)
![Coupon\ A = \$80](https://tex.z-dn.net/?f=Coupon%5C%20A%20%3D%20%5C%2480)
![Coupon\ B = 20.5\%](https://tex.z-dn.net/?f=Coupon%5C%20B%20%3D%2020.5%5C%25)
Required
Which coupon is better
From the question, we have:
![Coupon\ A = \$80](https://tex.z-dn.net/?f=Coupon%5C%20A%20%3D%20%5C%2480)
![Coupon\ B = 20.5\%](https://tex.z-dn.net/?f=Coupon%5C%20B%20%3D%2020.5%5C%25)
Coupon B means that:
![Coupon\ B = 20.5\% * \$450](https://tex.z-dn.net/?f=Coupon%5C%20B%20%3D%2020.5%5C%25%20%2A%20%5C%24450)
![Coupon\ B = 0.205 * \$450](https://tex.z-dn.net/?f=Coupon%5C%20B%20%3D%200.205%20%2A%20%5C%24450)
![Coupon\ B = \$92.25](https://tex.z-dn.net/?f=Coupon%5C%20B%20%3D%20%5C%2492.25)
By comparison:
Coupon B gives him a better buy because: ![\$92.25 > \$80](https://tex.z-dn.net/?f=%5C%2492.25%20%3E%20%5C%2480)
Answer:
P'(-9, 3)
Step-by-step explanation:
The transformation for rotation counterclockwise about the origin by some angle α will be ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
When the angle is α = 90°, this reduces to ...
(x, y) ⇒ (-y, x)
You have (x, y) = (3, 9), so the image point is P'(-9, 3).
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<em>Additional comment</em>
The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:
- 90° CCW or 270° CW: (x, y) ⇒ (-y, x)
- 90° CW or 270° CCW: (x, y) ⇒ (y, -x)
- 180°: (x, y) ⇒ (-x, -y)
Answer:
Step-by-step explanation:
y=2/3*x-3
We can see that for x=0, y = 2/3*0-3 = -3.
60 as u divide 12 by 8 and multiply by 40
Answer:
Step-by-step explanation:
5p + 2(p + 4) .......because pencil cases (p) sell for 5 bucks a piece....and mechanical pencils (p + 4), sell for 2 bucks a piece. She is basically selling 4 more mechanical pencils then she is pencil cases.