Answer:
5,040 different passwords are possible
Step-by-step explanation:
Assuming that 4-digit means using only numeric values.
This is a permutations problem.
n = number of values used with number values only this is 10
r = the number used in each case without repeating in this case 4
nPr = n! / (n - r)!
nPr = 10! / (10-4)!
nPr = 10! / 6!
The ! means factorial. For example 4! = 4 x 3 x 2 x 1 = 24
A quick hack for dividing factorials is to use cancelling.
10! / 6! = 10 x 9 x 8 x 7 (because 6 to 1 are cancelled by 6!)
= 5040
Hi there,
3.89% - 3.49% = 0.40%
Hence, it increased by 0.40%
Hope this helps :)
Answer:
12% increase
Step-by-step explanation:
Divide the difference between the two prices by the original price:
1.05/8.95
= 0.12
So, the percent change is 12%
Answer: A
Step-by-step explanation: The answer is a because 27 ÷ 3 = 9, so you need a base with 9 cubic units. A is the only possible answer.
Answer:

Step-by-step explanation:
We want to solve for x in 
You need to group and combine like terms and write in standard form:


By comparing to
, we a=1,b=-2 and c=-46
The solution can be obtained using the quadratic formula.

We substitute the coefficients to get:





The last choice is correct