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:
21
in/hr
Step-by-step explanation:
Distance of snow fall = 3ft
Time taken = 1
hrs
Unknown:
Rate of snowfall = ?
Solution:
The rate of the snowfall is the same as the speed of the fall;
Rate of snowfall = 
Convert the ft to inches;
1ft = 12inches
3ft = 3 x 12 = 36inches
Input the parameters and solve;
Rate of snowfall =
= 36 x
= 21
in/hr
Answer:
Just break down the answer.
Step-by-step explanation
(2•2)•(2•2•2•2)•(2•2•2)
You are just see how much you have in each exponent. The number you have in exponents is main number you put out.
Answer:
C(2,5)
Step-by-step explanation:
2(2)+3(5)>12
4+15>12
19>12
x-y>1
2-5>1
3>1