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
Tcecarenko [31]
3 years ago
11

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill

ion barrels of oil in the well; six years later 1,500,000 barrels remain.
(a) At what rate was the amount of oil in the well decreasing when there were 1,800,000 barrels remaining?
Mathematics
1 answer:
abruzzese [7]3 years ago
4 0

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}

To find A and k

V(0) = A = 3 million

Hence V = 3e^{kt}

V(6) = 1.5

i.e. 1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552

V(t) = 3e^{-0.11552t}

a) Using the above value of k , we have

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year.

You might be interested in
What is the answer to this question
astra-53 [7]

Answer: I think the answer is B

Step-by-step explanation:

8 0
3 years ago
3. Tmobile charges 100 dollars for the initial phone line and then 20 dollars for every phone line afterwards.
salantis [7]
A)your equation for t-mobile would be
y=20x+100

Topar equation
y=30x

B) you’d set the two equation equal to each other

20x+100=30x

giving you the answer x=10

C) when x>13

D) when x<14

i’m a bit iffy on the last two but that’s the conclusion i came to

5 0
3 years ago
PLSSS HELPPP find the surface area of the regular pyramid ILL GIVE BRAINLIEST
lina2011 [118]

Answer:

i know the answer to four just not 3 so you don’t have to mark me brainliest it’s 108.8153

Step-by-step explanation:

5 0
2 years ago
Can you plese help me with it
il63 [147K]
Of the sixteen possibilities only one is HHHT, so the probability is 

\dfrac{1}{16}

5 0
2 years ago
Read 2 more answers
S=(l)(b)(b) solve for s
Alona [7]
I’m not entirely sure but i think it might be s=lb^2 because the l, b, and b are all being multiplied together, and since you are multiplying and not adding the b’s, the two would go to b^2, and then you just multiply by l to get lb^2
3 0
3 years ago
Other questions:
  • What's the complex conjugate of 13-21i
    13·1 answer
  • What is the solution to the system of equations? Use the substitution method to solve the system of equations. Show all of your
    13·1 answer
  • Cierra paid $375 for a chair. The price of the chair Mary purchased was 1/5 the price Cierra paid. How much did Mary pay for her
    11·1 answer
  • Can some body please help meeeee T^T
    14·2 answers
  • What is an written expression for 20+5×9
    11·1 answer
  • Write the number as hundredths in fraction form and decimal form. 9/10
    14·1 answer
  • If F(x)=3x^2-2 find (-3) x f (x)
    6·2 answers
  • Mrs. Reid wrote the following problem on the whiteboard: Tom and Michele shared 1/4 pound of grapes equally. What fractional par
    15·1 answer
  • HELP :/ At the local pet store, Bloodfin Tetra cost $1.50 each and Angelfish cost $4.75 each. If Sarah bought 8 fish for a total
    11·1 answer
  • 36. Which side of the triangle in the diagram is the hypotenuse?<br> A X<br> B. Y<br> C. Z
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!