Answer: see proof below
<u>Step-by-step explanation:</u>
Use the following Half-Angle Identities:
sin² A = (1 - cos 2A)/2
cos² A = (1 + cos 2A)/2
<u>Proof LHS → RHS:</u>
LHS: sin⁴ A
Expand: sin² A · sin² A
LHS = RHS
Given:
depreciation rate: 18%
Value of the car : 20,000
Age of the car : 4 years.
The depreciation is based on the current value of the car. Therefore, the amount of depreciation varies.
<span>
<span>
</span><span><span>
yr Beginning Value Dep. Rate Depreciation Ending Value
</span>
<span>
1
<span> 20,000.00 </span>18%
<span> 3,600.00 </span>
<span> 16,400.00
</span>
</span>
<span>
2
<span> 16,400.00 </span>18%
<span> 2,952.00 </span>
<span> 13,448.00
</span>
</span>
<span>
3
<span> 13,448.00 </span>18%
<span> 2,420.64 </span>
<span> 11,027.36
</span>
</span>
<span>
4
<span> 11,027.36 </span>18%
<span> 1,984.92 </span>
<span> 9,042.44
</span>
</span></span></span>
The current value of a car bought 4 years ago is 9,042.44
Beginning value : purchased amount on 1st year. then, ending balance of the previous year from 2nd year onwards.
Depreciation : Beginning value * depreciation rate
Ending value : Beginning value - depreciation
Answer:
d
Step-by-step explanation:
Answer:
132ft^3
Step-by-step explanation:
The area of the side can be computed as 14x4 - 6x2
area of the side = 14*4 - 6*2 = 56 - 12 = 44
then the whole volume is side * depth, so
V = 44ft * 3ft = 132ft^3
Answer:
<em>11 litres </em>of water will fit inside the container.
Step-by-step explanation:
As per the given figure, we have a container formed with combination of a right angled cone placed at the top of a right cylinder.
Given:
Height of cylinder, = 15 cm
Diameter of cylinder/ cone, D = 26 cm
Slant height of cone, l = 20 cm
Here, we need to find the volume of container.
Here,
To find the Height of Cylinder, we can use the following formula:
Now, putting the values to find the volume of container:
Converting to litres:
<em>11 litres </em>of water will fit inside the container.