An accident at a nuclear power plant has left the surrounding area polluted with radioactive material that decays naturally. The initial amount of radioactive material present is 15 su (safe units), and 5 months later it is still 10 su.
(a) Write a formula giving the amount A (t ) of radioactive material (in su) remaining after t months.
(b) What amount of radioactive material will remain after 8 months?
(c) How long—total number of months or fraction thereof will it be until
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
Additional Engineering Textbook Solutions
Concepts of Programming Languages (11th Edition)
Java: An Introduction to Problem Solving and Programming (7th Edition)
Java How to Program, Early Objects (11th Edition) (Deitel: How to Program)
Starting Out with Java: From Control Structures through Objects (6th Edition)
Starting Out With Visual Basic (7th Edition)
- The half-life of a radioactive material is about 34.2 years. How much of the material is left after 20 years?arrow_forwardAn investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?arrow_forwardEstimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.arrow_forward
- Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?arrow_forwardThe number of bacteria in a culture is increasing according to the law of exponential growth. After 1 hour there are 100 bacteria, and after 2 hours there are 200 bacteria. How many bacteria will there be after 3 hours?arrow_forwardAngela invested $15,000 in a savings account. If the interest rate is 4%, how much will be in the account in 10 years by each method of compounding? compound quarterly compound monthly compound continuouslyarrow_forward
- An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000 Compare the values of the account after 9 yearswhen the interest is compounded annually, quarterly,monthly, and continuously.arrow_forwardSuppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage