I hope this helps... if not let me know and I'll try to help again :)
I would love the help, 13 points !!!!!
2 answers:
Answer:
<em><u>S</u></em><em><u>E</u></em><em><u>E</u></em><em><u> </u></em><em><u>I</u></em><em><u>M</u></em><em><u>A</u></em><em><u>G</u></em><em><u>E</u></em><em><u> </u></em><em><u>F</u></em><em><u>I</u></em><em><u>R</u></em><em><u> </u></em><em><u>Y</u></em><em><u>O</u></em><em><u>U</u></em><em><u>R</u></em><em><u> </u></em><em><u>A</u></em><em><u>N</u></em><em><u>S</u></em><em><u>W</u></em><em><u>E</u></em><em><u>R</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
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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.
