Answer:
k - 2e + 9 = 0
k - e - 4 = 0
Step-by-step explanation:
Given that Elena is currently e years old and Katie is k years old. Now, nine years ago, Katie was twice as old as Elena was.
So, k - 9 = 2(e - 9)
⇒ k - 2e + 9 = 0 .............. (1)
And, in four years, Elena will be as old as Katie is now.
So, k = e + 4
⇒ k - e - 4 = 0 ............... (2)
Therefore, the equations (1) and (2) matches the conditions. (Answer)
Answer:
Step-by-step explanation:
If the radius of a cylinder is increased by 20% and its height is decreased by 10%.
To find : What is the percentage change in the volume?
Solution :
Let r be the radius of cylinder is increased by 20%
i.e,
The old radius is 5 and new radius is 6.
Let h be the height of cylinder is increased by 10%
i.e,
The old height is 10 and new height is 11.
The volume of old cylinder with r=5 and h=10
The volume of new cylinder with r=6 and h=11
Volume change is
Percentage change is
Therefore, The percentage change in the volume is 6.4%.
4.0
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