Solve the equation. Explain or show your reasoning. 1/2 x -7 = 1/3 (x-12)
1 answer:
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Answer: 6.93 years
Step-by-step explanation:
Given
Rate of interest is
Future value is given by
For the investment to double itself, i.e.
It takes around 6.93 years to double the investment.
the rock will be at 11 meters from the ground level after 5.92 seconds
Step-by-step explanation:
The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:
where
h = 23 m is the initial height
u = 27 m/s is the initial velocity, upward
is the acceleration of gravity, downward
t is the time
We want to find the time t at which the position of the rock is
y = 11 m
Substituting and re-arranging the equation, we find
This is a second-order equation, which has solutions:
So
The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.
Learn more about free fall:
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