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Dmitrij [34]
2 years ago
11

It is estimated that world reserves of oil currently stand at 2625

Mathematics
1 answer:
seraphim [82]2 years ago
4 0

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)

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.

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Answer: 1 Lap Per Every 4 Minutes Is Her Average Speed.

Step-by-step explanation: To find her average speed, simply divide 8 by 2 which is 4.

8/2 = 4 minutes per lap.

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3 years ago
5<br> 8<br> y<br> Find the exact value of y.<br> y =
inn [45]

Answer:

y=2\sqrt{10}

Step-by-step explanation:

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By substituting values in the given ratio,

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y^2=8\times 5

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y=2\sqrt{10}

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3 years ago
Find m2 ABD.<br> A<br> D<br> 40°<br> B<br> C
FromTheMoon [43]
Answer:

40°

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6 0
2 years ago
james has decided to start saving for a cruise over the summer. his money is currently in the local bank modeled by the function
steposvetlana [31]

In the scenario above,  James can we create a function to combine the two by   f ( x ) = 8 x + 118.

<h3>What is the simplification about?</h3>

In the question above, to be able to create a function, we have to show that;

s ( x ) = 102  

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So, a function that combines the two will be:

f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =

= 102 + 8 x + 16

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Learn more about simplification from

brainly.com/question/723406

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A number minus 6 is few then 8
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7 I think is you answer
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3 years ago
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