For this problem,we use the Fundamental Counting Principle. You know that there are 7 digits in a number. In this principle, you have to multiply the possible numbers for every digit. If the first number cannot be zero, then there are 9 possible numbers. So, the value for the first digit is 9. The second digit could be any number but less of 1 because it was used in the 1st digit. So, that would be 10 - 1 = 9. The third digit must be the value in the second digit less than 1. That would be 9 - 1 = 8. And so on and so forth. The solution would be:
9×9×8×7×6×5×4 = 544,320 7-digit numbers
Answer:
Step-by-step explanation:
During the first year, ABC's stock price starts at $100 and increases by 100%. This means that the amount by which the stock increased would be
100/100 × 100 = $100
The new price of the stock would be 100 + 100 = $200
During the second year, its stock price goes down 25% from its price at the end of the first year. This means that the amount by which the stock reduced is
25/100 × 200 = 0.25 × 200 = $50
Therefore, the price of the stock, in dollars, at the end of the second year is
200 - 50 = $150
X+3y=14
-x. -x
3y=-x+14
Divide them all by 3
Y=-x/3+14/3
Y-intercept= 1/3
9514 1404 393
Answer:
-7/48
Step-by-step explanation:
Put the numbers in place of the corresponding variables and do the arithmetic.
![\dfrac{-\left|1\dfrac{7}{8}+(-1)\right|}{2-(-4)}=\dfrac{-\dfrac{7}{8}}{6}=-\dfrac{7}{8\cdot6}=\boxed{-\dfrac{7}{48}}](https://tex.z-dn.net/?f=%5Cdfrac%7B-%5Cleft%7C1%5Cdfrac%7B7%7D%7B8%7D%2B%28-1%29%5Cright%7C%7D%7B2-%28-4%29%7D%3D%5Cdfrac%7B-%5Cdfrac%7B7%7D%7B8%7D%7D%7B6%7D%3D-%5Cdfrac%7B7%7D%7B8%5Ccdot6%7D%3D%5Cboxed%7B-%5Cdfrac%7B7%7D%7B48%7D%7D)
Answer:
3 factors ; 18 total conditions
Step-by-step explanation:
The study focuses on the 3 factirs which impacts life satisfaction. Thses factors are : Smoking ; Drinking and Partying and they constitute the 3 different factor variables in the study.
For each factor variable, each has a number of different conditions ;
For smoking : 2 conditions (smoking and not smoking)
Drinking : 3 conditions (no alcohol, 1 / day ; several per day)
Partying : 3 conditions (no partying, 1 hour of partying / day, 2 hours of partying / day)
Total number of conditions :
(2 * 3 * 3) = 18 conditions