Answered: The amount of radioactive substance…

The amount of radioactive substance after t years is modeled using A=Cekt. a one kilogram sample has a half life of 30. How many kilograms left after 10years

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 446RE: The half-life of radioactive iodine is 60 days. How much of a 50 mg sample will be left in 40 days?

See similar textbooks

Related questions

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A: Given,The half-life of Radium-226 is 1590 years. i.e., h=1590A sample contains 200 mg.…

Q: (a) A radioactive substance has a half-life of 20 years. If 8 mg of the substance remains afte 100…

A: We will use radioactive decay formula ..

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

Q: The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of…

A: Equation governing the radioactive decay is: A = A0e-kt When t = 1,599 then A = A0 / 2 (this is by…

Q: The half-life of Carbon-14 is 15 years. How much of an initial 183 g sample will remain after 38…

Q: Biologists stocked a lake with 700 fish and estimated the carrying capacity to be 6300. The number…

A: Dear student you are not provide what are a ,c ,b stand for . We are calculate the value in terms of…

Q: A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in…

Q: Find the half-life of a radioactive element, which decays according to the function…

Q: Find the half-life of a radioactive element, which decays according to the function A(t) = Age…

Q: A certain radioactive substance has a half-life of 38 hours. Find how long it takes for 90% of the…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500mg, how many mg will remain after…

Q: Find the amount A in an account after t years if dA/ dt= 0.08A and A(0)= 1000

Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measure…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon-14 that is present in…

Q: The half-life of a radioactive substance is 25 years. Suppose we have a 100 mg sample. Find the mass…

A: For a radioactive substance N(t)=N0×e-λt --> Eq'n(1)…

Q: Determine whether the following equation represents an exponential growth or exponential decay.…

A: To determine whether the equation represents an exponential growth or exponential decay.…

Q: Find the half-life of a radioactive element, which decays according to the function A(t)=A0…

Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity to be 9700. The number…

A: Given: Initially, stocked fish=400……1Carrying capicity of lake=9700……2In first year, number of…

Q: Find the half-life of radioactive substance Radium-226; A(t) = A0e-0.00043t

A: Given, a radioactive substance such that Radium-226; At=A0e-0.00043t. To solve this, use the…

Q: is

Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. a) Find the…

Q: Biologists stocked a lake with 600 fish and estimated the carrying capacity to be 3300. The number…

A: Given that the biologists stocked a lake with 600 fish and estimated carrying capacity to be…

Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity to be 7700. The number…

A: Given: Initially, stocked fish=500……1Carrying capacity of lake=7700……2In first year, number of…

Q: Find the half-life of a radioactive element, which decays according to the function A(t) =…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: We know the half life formula:Nt=N012tt1/2Where Nt=Amount after t years. N0=Initial Amount.…

Q: The half-life of carbon-14 is 5730 years. A frozen human mummy was discovered in a glacier. It was…

Q: Find the half-life of a radioactive element, which decays according to the function…

Q: The half-life of silver-105 is approximately 41 Step 2 of 3: How much of a 2 gram sample or

Q: A laboratory test confirms that 9 milligrams of a particular radioactive substance decreases to 7…

A: Answer and explanation is given below... Option (c) is correct

Q: A toxic radioactive substance in the amount of 7 miligrams per square centimeters is detected in the…

Q: A certain radioactive substance has a half-life of 38 hours. Find how long it takes for 90% of the…

Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity to be 9400. The number…

Q: Radioactive radium has a half-life of approximately 1599 years. The initial quantity is 15 grams.…

A: Given that a radio-active radium has a half-life of approximately 1599 years and initial quantity is…

Q: Human hair from a grave in Africa proved to have only 91% of the carbon 14 of living tissue. When…

A: Given:

Q: The amount of the radioactive element Pragelium present in a sample can be calculated using a model…

A: Given A=A0ekt, and t1/2=13, to find k=?

Q: A chemical substance has a half-life of 5 hours.How much of a 107-gram sample remains after 12…

A: In this question we have to find sample remain after 12 hour. Formula used N=N0*(1/2)^t/t1/2

Q: A certain radioactive substance has a half-life of 38 hours. The rate of change in the decay…

Q: Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount…

A: A(t)=A012thh is the half lifeA(t) is the amount after t years.A0 is the initial value.

Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity to be 6200. The number…

A: Given that, Biologists stocked a lake with 500 fish and estimated carrying capacity to be…

Q: A laboratory test confirms that 9 miligrams of a particular radioactive substance decreases to 7…

A: Explanation of the answer is as follows

Q: Find the half-life of a radioactive element, which decays according to the function…

A: The decay equation is given by At = A0e-0.0256t ........(1)…

Q: A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in…

Q: The half-life of a radioactive material is about 34.2 years. How much of the material is left after…

Q: A radioactive substance has a half-life of 4 hours. How much of it is left after 12 hours?

A: Since, a radioactive substance has a half-life of 4 hours.Our aim is to calculate the amount of…

Q: The half-life of Carbon-14 is 5770 years. Wooden carving contains 30% of the amount of Carbon-14 in…

A: Let there was x units of carbon at the starting. 30% of x=0.30x So now there is 0.30x units of…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

Q: . The population of a bacteria colony after t hours is given by P(() = 2000e growth rate of the…

A: To determine the growth rate of colony at given time.

Q: A certain radioactive substance has a half-life of 38 hour. Find how long (in hours) it takes for…

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

The amount of radioactive substance after t years is modeled using A=Ce^kt. a one kilogram sample has a half life of 30. How many kilograms left after 10years

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

The half-life of radioactive actinium ( 227AC ) is 21.77 years. What percent of a present amount of radioactive actinium will remain after 19 years?
The half-life of a radioactive material is about 34.2 years. How much of the material is left after 20 years?
A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?
The population of a culture of bacteria is modeled by the logistic equation P(t)=14,2501+29e0.62t where t is in
An 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?
The half-life of radioactive iodine is 60 days. How much of a 50 mg sample will be left in 40 days?
Hector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the interest compounds continuously, approximately what rate of growth Will he need to achieve his goal?
In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2014, Los Angeles also experienced an earthquake which measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes.