Answer:
I think it is 0.5
Step-by-step explanation:
The total length is 72 feet long
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 ...
![\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_0%5Et%7Bf%28x%29%7D%5C%2Cdx%3D45.5%5Cint_0%5Et%7B1.026%5Ex%7D%5C%2Cdx%3D45.5%5Cleft%28%5Cdfrac%7B1.026%5Et-1%7D%7B%5Cln%7B1.026%7D%7D%5Cright%29)
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.
28 units squared
When graphed, the distance between A and B is 4 and B to C is 7.