SOLUTION: Suppose that the world's current oil reserves in billions of barrels is given by the equation R(t)=-21t+1960 where t represents the number of years since now.
8 years from now,
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8 years from now,
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Question 810821: Suppose that the world's current oil reserves in billions of barrels is given by the equation R(t)=-21t+1960 where t represents the number of years since now.
8 years from now, the total oil reserves will be billions of barrels.
If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted approximately years from now.
Round your answer to the nearest year.
my question here is how do I start it. Most of my homework problems are similiar to this but I cannot remember how to start it.
Thanks you so much in advance!!! Natisha Found 2 solutions by stanbon, Charles3475:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Suppose that the world's current oil reserves in billions of barrels is given by the equation R(t)= -21t+1960 where t represents the number of years since now.
8 years from now, the total oil reserves will be ? billions of barrels.
If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted approximately ? years from now.
Round your answer to the nearest year.
You can put this solution on YOUR website! You want to know when the the reserves will be completely depleted.
This is the same as asking when R(t) is equal to zero.
At t=0; R(0) = -21(0) + 1960 = 1960 billion barrels
Each year 21 billion barrels are consumed.
As stated previously, the reserves are fully depleted (consumed) when R(t) = 0
So R(t) = 0 = -21t + 1960 when the reserves are gone.
0= -21t + 1960
Adding 21t to both sides
21t = 1960
Divide both sides by 21
t = 93.33 years
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