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:
Step-by-step explanation:
From the picture attached,
Number line Inequality
1). Arrow starting with a solid point from x = -2 x ≤ -2
directing towards negative numbers of x 2).Arrow starting with a hollow circle from x = 2 x >2
directing towards positive numbers of x
3). Arrow starting with a hollow circle from x = 2 x < 2 ⇒ x - 2 < 0
directing towards negative numbers of x
4). Arrow starting with a solid circle from x = 2 x ≥ 2 Or 2 ≤ x
directing towards positive numbers of x
5). Arrow starting with a hollow circle from x = -2 x > -2
directing towards positive numbers of x
C, the scale factor of the dilation was 1/2
Answer:
the answer is 14.7 in
Step-by-step explanation:
