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
g100num [7]
3 years ago
6

The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec

ays exponentially at the rate of 2.5% per year. Areas downwind of the reactor will be uninhabitable for 100 years. What percent of the original strontium-90 contamination will still be present after 50 years?
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

If S(t) is the amount of strontium-90 present in the area in year t, and it decays at a rate of 2.5% per year, then

S(t+1)=(1-0.025)S(t)=0.975S(t)

Let S(0)=s be the starting amount immediately after the nuclear reactor explodes. Then

S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)

or simply

S(t)=0.975^ts

So that after 50 years, the amount of strontium-90 that remains is approximately

S(50)=0.975^{50}s\approx0.282s

or about 28% of the original amount.

We can confirm this another way; recall the exponential decay formula,

S(t)=se^{kt}

where t is measured in years. We're told that 2.5% of the starting amount s decays after 1 year, so that

0.975s=se^k\implies k=\ln0.975

Then after 50 years, we have

S(50)=se^{50k}\approx0.282s

You might be interested in
If f(x) = 2x + 3 and g(x) = x2 -1, what is the degree of [fog)(x)?<br>O 2<br>O 5<br>O 7<br>o 10​
kaheart [24]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the slope-intercept form equation for the points (10,4) and (10,-5)
scZoUnD [109]

Answer:

slope is undefined and the y interception is not existed

Step-by-step explanation:

slope = (y-y') /(x-x') = (4 - (-5)) /(10 - 10) = 9 / 0 = undefined

since this is a vertical line, there is no y interception

5 0
3 years ago
The coordinate grid shows the plot of four equations.
Rom4ik [11]

Answer:

Your answer would be A and B

Step-by-step explanation:

Simply look for the coordinates on the graph and look for the name of the lines that intersect there.

5 0
3 years ago
Please help me Fill in the blank with a variable term to make the equation true
aleksandr82 [10.1K]

Answer:

x = 6

2x+3=15

2x=12

x=6

therefore,

6x+3=15

3 0
3 years ago
K/9=3/9=what ? so is( k)a 3 or another number which is k=3/9=3/9 or no?
Flura [38]
So, if k/9=3/9, then k=3, because it is a variable substituting 3. :D Hope I could help! 
3 0
3 years ago
Other questions:
  • Which of the following creates 90° angles at the points of intersection and also cuts a segment into two congruent pieces?
    15·1 answer
  • Solve x2 + 9x + 8 = 0 by completing the square. What are the solutions?
    7·1 answer
  • Can you make a triangle with sides 3, 4, and 7
    7·1 answer
  • Ana is taking a standardized test. The test has 25 questions consisting of multiple choice and short answer questions. Each mult
    8·1 answer
  • Ben buys a car for $50,000. The value of the car decreases at a rate of 4% per year. How much will the car be worth in 3 years?
    15·2 answers
  • Which equation has the solution x=12 ?
    6·2 answers
  • Is it illegal in california to eat raw oranges in bathroom?
    13·2 answers
  • Four cans of beans cost $2.84.
    6·2 answers
  • Please someone help mee!!
    7·2 answers
  • the souder family went on a vacation with 3000$ if they spent 200 each day,how much money they got left after x days.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!