Answer:
No, there is not a significant difference
Step-by-step explanation:
The sample mean (1.3) is less than the sample standard deviation (1.9). The sample mean would have to be greater than 1.9 for there to be a significant difference
Answer:
54.72 months
Step-by-step explanation:
Given:
Future value = R35,000
Annuity = R500
Interest = 11.32% per year
Interest per month, r =
= 0.943% = 0.00943
Let 'n' be the total time in months taken
Now,
Future value of annuity is calculated using the formula as:
![\textup{Future value}=\textup{Annuity}\times[\frac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=%5Ctextup%7BFuture%20value%7D%3D%5Ctextup%7BAnnuity%7D%5Ctimes%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
on substituting the respective values, we get
![35000=500\times[\frac{(1+0.00943)^n-1}{0.00943}]](https://tex.z-dn.net/?f=35000%3D500%5Ctimes%5B%5Cfrac%7B%281%2B0.00943%29%5En-1%7D%7B0.00943%7D%5D)
or
![70=[\frac{(1.00943)^n-1}{0.00943}]](https://tex.z-dn.net/?f=70%3D%5B%5Cfrac%7B%281.00943%29%5En-1%7D%7B0.00943%7D%5D)
or
1.6601 = 1.00943ⁿ
taking log both sides, we get
log(1.6601) = n × log(1.00943)
or
0.22= n × 0.00402
or
n = 54.72 months
Answer:
Matt is correct
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
In this problem we can have two cases
case 1) The two equations are equal, in this case the system has infinite solutions
case 2) The two equations have the same slope but different y-intercept, in that case the system has no solution.
therefore
Matt is correct
Answer:
7 - 3
Step-by-step explanation:
Given
3 +
-
← substitute x = 9
= 3 +
- 
= 3 + 4 - 
= 7 - 3
Answer:
C. Lines with arrows that point outward radiate from the charge in all
directions.