1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
The altitude of a right triangle that meets the hypotenuse at a right angle divides the triangle into smaller triangles that are
SpyIntel [72]
Since the altitude meets the triangle at a right angle it divides it into Similar triangles
5 0
2 years ago
Analyze the diagram below and complete the instructions that follow. <br><br> Solve for y.
Nady [450]
Y= 10 because you have a 180 degree angle split in half which equals 90 degrees so 3•30=90 the the other side has to equal 90 degrees so 2•30=60 then 3•10=30 so then just add 60 and 20 and there is your 90
4 0
3 years ago
Simplify <br> (^3)x4<br> Easy 30 points
scoray [572]

Answer:

this the answer to the question I understand

{ (- 3)}^{4} \\  - 3 \times  - 3 \times  - 3 \times  - 3 \\ 9 \times 9 \\ 81

3 0
3 years ago
Read 2 more answers
HELP I WILL GIVE BRAINLIEST
Shalnov [3]

Answer: a

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
If a triangle has sides of length x, X + 2, and x
klemol [59]

Answer:

3x+6

x+x+2+x+4

» You can group the like terms, in this case, the x's and the numbers.

x+x+x+2+4

3x+6

5 0
2 years ago
Other questions:
  • 5 equally-sized boxes of cake mix fell off the back of
    14·1 answer
  • Can somebody please help me with this?
    9·1 answer
  • Mary helped her mom make pecan pies. She could buy 20 ounces of pecans for $7.80 at Food Depot. Food Mart sells a 32.5-ounce bag
    14·2 answers
  • What values for theta (0 theta 2pi) satisfy the equation 2 sin theta cos theta + sqrt 3 cos theta?
    11·1 answer
  • I need help fast thank you
    8·1 answer
  • Practice solving multis<br> ASSIGNMENT<br> Solve 3[-X + (2 x + 1)] = x-1.
    5·2 answers
  • Evaluate (x + 5)2 + 8 for x = -3.<br> O A. 72<br> O B. 17<br> C. 33<br> O D. 12
    5·2 answers
  • 8. When dividing polynomials using factorization, cancelling identical factors in the denominator and the numerator will give th
    13·1 answer
  • What is the answer 9-6x+5​
    10·2 answers
  • Two stores carry a similar stereo for the same original price of $573. One store offers a 16% discount and the second store sell
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!