Step-by-step explanation:
-3(2x-6)+4=-6x+18+4=-6x+22
• P is the principal amount, $3000.00.
• r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
• t is the time involved, 8 years time periods.
• So, t is 8 year time periods.
To find the simple interest, we multiply 3000 × 0.06 × 8 to get that:
The interest is: $1440.00
Step-by-step explanation:
There are 12 games in the population. You need to use a random number generator to choose 2 of these games.
RandomSample[{1,2,3,4,5,6,7,8,9,10,11,12},2]
Let's say the first sample you get is {1,5}. That corresponds to game times of 8 minutes and 7 minutes. The mean game time for that sample is 7.5 minutes. So the first row in your table would be:
![\left[\begin{array}{ccc}Sample&List\ of\ Game\ Times&Mean\ Game\ Time\\1&8,7&7.5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7DSample%26List%5C%20of%5C%20Game%5C%20Times%26Mean%5C%20Game%5C%20Time%5C%5C1%268%2C7%267.5%5Cend%7Barray%7D%5Cright%5D)
Basically the question is asking if the proportions for the dimensions of the 2 rugs are the same, so in this case yes, since 6 X 8 can be written as 3 X 4 which if you set up a fraction you can easily multiply both the top and bottom number by 3 to get 9 X 12.
Answer:
see explanation
Step-by-step explanation:
Under a clockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
(3, 3 ) → (- 3, 3 )
(3, 4 ) → (- 4, 3 )
(5, 3 ) → (- 3, 5 )
