Answer:
8 hours
Step-by-step explanation:
23 + 3x = 5x + 7
First would be to subtract 3x from both sides to maintain equality.
23 = 2x +7
Then subtract 7 from both sides
16 = 2x
Finally divide by 2 from both sides to solve for x
8 = x
The difference between 3/7 and 1/14 is 5/14
Difference can be described as subtracting one number from the other.
The first step is to write out the fractions and subtract 1/14 from 3/7
3/7 - 1/14
= 6-1/14
= 5/14
Hence the difference between 3/7 and 1/14 is 5/14
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<span>0.27 * 60 = Take the integer part only to get the minutes, then multiply the decimal part by 60 again to get the second</span>
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
