One of the main contaminants of a nuclear accident, such as that atChernobyl, is strontium-90, which decays exponentially at a rate ofapproximately 2.4% per year.(a) Write the percent of strontium-90 remaining, P, as a function ofyears, t, since the nuclear accident. [Hint: 100% ofthe contaminant remains at t = 0.]P(t)==(b) Estimate the half-life of strontium-90.NOTE: Round your answer to the nearest integer.The half-life of strontium-90 is(c) After the Chernobyl disaster, it was predicted that the region wouldnot be safe for human habitation for 100 years. Estimate thepercent of original strontium-90 remaining at this time.NOTE: Round your answer to the nearest integer.There is aboutof original strontium-90 remaining at this time.years.%

One of the main contaminants of a nuclear accident, such as that atChernobyl, is strontium-90, which…

Answered: One of the main contaminants of a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

The population of Nevada was 3.0 million in 2018 and 2.7 million in 2010. Assuming an exponential model: (a) Write the population of Nevada in the form N= Noat, where N is the population of Nevada in millions, No and a are constants, and t is time in years since 2010. NOTE: Enter the exact answer for No. Enter an exact value for a or round to 4 decimal places. N (t): - (b) What was the estimated population of Nevada in 1996? NOTE: Round your answer to 3 decimal places. The population in 1996 was approximately million people.
The change to a villages population over time can be represented using an exponential decay function. P(t) = P0ert (t ≥ 0) P(t) represents the village population at time (t), measured in years. Initially at time t=0, there are 12,000 people in the village. After 4 years, only 5,000 people remain. A. Show the value of P0 is 12,000 and hence, state the equation for P(t) B. Show that the value of the constant r is −0.219 to three significant figures.C.
A sample of radioactive material decays over time (measured in hours) with decay constant .5. The graph of the exponential function y = P(t), shown on the right, gives the number of grams remaining after t hours. (a)How much was remaining after 1 hour? (b)Approximate the half-life of the material. (c)How fast was the sample decaying after 5 hours? (d)When was the sample decaying at the rate of .3 grams per hour? Ay 9- 7- 5- 3- y = P(t) 1- 3 5 g remaining. (Round to the nearest integer as needed.) (a) After 1 hour there were
After alcohol is fully absorbed into the body, it is metabolized with a half-life of 1.5 hours. Suppose Thad consumes 45 mL of alcohol (ethanol). (a) Find an exponential decay model A(t) for the amount of alcohol remaining after t hours. (Round your terms to three decimal places.) A(t) =
The survival of ancient manuscripts can be modeled by the logistic equation. The number of copies of a particular manuscript was found to approach a limiting value over the five centuries after its publication in the year 725. Let G(t) represent the proportion of manuscripts known to exist after t centuries out of the limiting value, so that m= 1. For this manuscript, k = 3.8 and Go = 0.00319. a. Find the growth function G(t) for the proportion of copies of the manuscript found. b. Find the proportion of manuscripts and their rate of growth after 2 centuries. a. G(t)=
The half-life of strontium-90 is 28 years. Suppose we have a 44 mg sample. (a) Find a function that models the mass m(t) remaining after t years. m(t) = (b) How much of the sample will remain after 60 years? m(60) = img. (c) How long will it take the sample to decay to a mass of 11 mg? Your answer is years. Note: if you round off values in earlier parts of this problem, the answers might be marked as correct. But, the error from rounding off can be magnified in later parts of the problem and lead to answers which are not close enough to being marked correct. It is a good idea to not use rounded values when computing later parts of a problem.
Carbon-14 is a radioactive element with a half-life of about 5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14. We are interested in the time (years) it takes to decay carbon-14. Find the amount (percent of one gram) of carbon-14 lasting less than 5,730 years. This means, find P(x > 5,730).

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS