Answer: $26.4 Australian dollars
Y=1.2x
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
165 rounded to the nearest front (the hundreds place for all of them in this case) is 200. 123 rounded to the nearest hundred is 100, 376 rounded to the nearest hundred is 400, and 134 rounded to the nearest hundred is 100. Adding 200 + 100 + 400 + 100, we get 800.
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Hope this helps!
(A) Find the value of x. Round to the nearest tenth of a degree<span>
Given that the distance of the ground is 9ft.
Length of the plank is 41 ft
In order to get the angle formed between the ground and the foot of the plank,
cos (theta) = ground / plank
cos (theta) = 9 / 41
</span><span>cos (theta) = 0.21951...
</span>theta = cos^-1(<span>0.21951...)
</span><span>theta = 77.3 degrees
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
Height = square root (plank^2 - ground^2)
Height = square root (41^2 - 8^2)
</span><span>Height = square root (1600)
</span><span>Height = 40
(A) 77.1 Degrees
(B) 40 feet</span>
Subtract 27 from 36 = 9
9/36 = 0.25
To turn a decimal into a percent multiply by 100
25%
25% of the students are boys
