I need help with Geometry
1 answer:
You might be interested in
Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...
We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
First, note that 
is always positive (except for x=0), so 
must be always negative.
Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.
Now, and are only defined for x≥0, because only for these x'es we can take the square root.
Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.
Answer: first graph
Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.
Now,
Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.
Answer: first graph