Answer:
1. (x,y)→(y,-x)
2. (x,y)→(-y,x)
3. (x,y)→(-x,-y)
Step-by-step explanation:
1. Rotation 90° clockwise (or 270° counterclockwise) about the origin changes x into y and y into -x, so it has the rule
(x,y)→(y,-x)
2. Rotation 90° counterclockwise (or 270° clockwise) about the origin changes x into -y and y into x, so it has the rule
(x,y)→(-y,x)
3. Rotation 180° clockwise about the origin changes x into y and y into -x, so it has the rule
(x,y)→(-x,-y)
Here you can apply rotation by 90° clockwise twice, so
(x,y)→(-y,x)→(-x,-y)
Answer:
I haven't done these in 2 years and I'm not sure if I remember things correctly but here's what I would put down.
5) No, it is not because the sizes of each section are not even.
6) Yes, this is fair since there are a even chance of getting each number.
7) 3 out of 25 or 3/25
8) The bag with 250 colored tiles would give him a less chance of picking a blue tile. In the first bag, there is a 40% chance that Greg would pick a blue tile while the second bag, he would have a 30% chance of picking a blue tile. To get these percentages, I divided the the amount of blue tiles in the bag by the total amount of tiles.
Explantion for question 8: 10 blue tiles in a bag of 25 so you would do 10/25 which is .4 and as a percentage it would be 40%. For the second question, 75 blue tiles out of 250 total so 75/250 and that would be .3 and as a percentage, it would be 30%. The "/" is a fraction bar and is sometimes used as a division symbol as well, just in case you don't know:)
Step-by-step explanation:
The monthly payment on the mortgage is option C) $2537.44
<u>Step-by-step explanation</u>:
- Principal (P): $
295,000
- Rate (r): 6.3% = 0.063
- Number of times compounded (n): 12months
15 years = 180
- Number of years = 15
The formula is A = P(1 + r/n)^nt
⇒ A = 295000(1+0.063/180)^(180
15)
⇒ A = 295000(180.063/180)^2700
⇒ A = 295000 (1.00035)^2700
⇒ A = 758854.5
Interest = Amount - Principle
⇒ 758854.5 - 295000
⇒ Interest = 463854.5
∴ The monthly payment for 15 years = 463854.5 / (15
12)
The monthly payment on the mortgage = 2576.9 (approximately option C)
Answer:
False
Step-by-step explanation:
The answer is 31.4. I hope this helps.