Answered: The half-life of Carbon-14 is 5770…

The half-life of Carbon-14 is 5770 years. Wooden carving contains 30% of the amount of Carbon-14 in a living tree. How long ago was the tree cut down to make the wooden carving?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 67SE: Alyssa opened a retirement account with 7.25 APRin the year 2000. Her initial deposit was 13,500....

See similar textbooks

Related questions

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

Q: If there were originally 500 grams of carbon-14 originally, how much carbon-14 would remain after 10…

A: In each half life , amount becomes half of the previous one. It means that, after each half life the…

Q: Find the half-life (in hours) of a radioactive substance that is reduced by 2020 percent in 55 hours…

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

A: for the half-life, use the formula y=a0.5tp here initial amount is a=300 mg and the half-life is…

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

A: Given: The half - life of Radium - 226 is 1590 years. A sample contains 300 mg. To find: Amount of…

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

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

A: The formula to find the amount of remaining radioactive material is given by the expression: An =…

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

A: Please refer to the image below

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

Q: en artifact found in a crypt contains 93 percent of the carbon-14 that is present in living flax. To…

A: Given that a linen artifact found in a crypt contains 93 percent of the carbon-14 that is present in…

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

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

Q: The half-life of radioactive cobalt is 5.27 years. If 100 grams of radioactive cobalt is present…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

Q: The half-life of caffeine in your body is about 6 hours. If you had 1 cup of coffee 9 hours ago how…

Q: A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in…

A: Given:wooden artifact=70% of carbon-14half-life of carbon-14 =5730 yearswe know that radioactive…

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

A: Given that - Half Life = t12 = 1590 years.Formula for half life - t12 = ln2kk = ln2t12where,k = rate…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 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: Find the half-life (in hours) of a radioactive substance that is reduced by 1515 percent in 6060…

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

A: Given, Initial quantity of carbon-14=N(0)= 100% Quantity of C-14 remaining=N(t)= 30% Half-life of…

Q: the half-life of silicone-32 is 710 year if 40grams is present now how much present in 900 years

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A: We have to find how long ago, to the nearest year, was the artifact made.

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

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

Q: After the release of radioactive material into the atmosphere from a nuclear power plant in a…

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

Q: A nurse gives a patient 800 mg of medicine at 10:00 a.m. If the half life of the medicine is 3…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

Q: After 100 years, 1/32 of the original amount of a substance remains. What is the substance…

Q: a radioactive isotope, selenium, used in the creation of medical images of the pancreas, has a…

A: To use the exponential model of radioactivity to determine the required amount of substance

Q: the amount of a given radioactive substance today is 8 grams. After 10 years, the amount remaining…

Q: The half-life of radioactive strontium-90 is approximately 29 years. In 1965, radioactive…

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

A: The solution is given below

Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that a…

A: The half life is 5750 years. Amount of carbon-14 lost is 28%.

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

A: For the given wooden artifact which contains 25 % of C-14 half life is 5730 years Number of years…

Q: Find the half-life (in hours) of a radioactive substance that is reduced by 10 percent in 90 hours.

A: Half-life = 0.693/(Decay constant)

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Given half life =1590 years t0=100, time =0t1=50, time =1590t2=25, time = 2(1590)t3=12.5, time =…

Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

Q: A wooden artifact from an archaeological dig contains 80 percent of the Carbon-14 that is present in…

A: Given that a wooden artifact from an archaeological dig contains 80 percent of the Carbon-14 that is…

Q: The half-life of radioactive strontium-90 is approximately 27 years. In 1963, radioactive…

Q: The half-life of Cobalt-56 is 77.27 days. If a sample contains 460 mg, how many mg will remain after…

A: Half-lifeA=Ao. 12n whereA- The mass of the substance that remains Ao- Initial massn= ratio between…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

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

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

Q: he half-life of radioactive strontium-90 is approximately 30 years. In 1964, radioactive…

A: Given: The half-life of radioactive strontium-90 is approximately = 30 years As we know that,…

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

Q: A wooden artifact from an archaeological dig contains 90 percent of the Carbon-14 that is present in…

A: Formula used:

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 half-life of Carbon-14 is 5770 years. Wooden carving contains 30% of the amount of Carbon-14 in a living tree. How long ago was the tree cut down to make the wooden carving?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 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, algebra and related others by exploring similar questions and additional content below.

Similar questions

A substance has a half-life of 2.045 minutes. If the initial amount of the substance was 132.8 grams, how many half-lives will have passed before the substance decays to 8.3 grams? What is the total time of decay?
The half-life of magnesium-27 is 9.45 minutes. How much of a 10-mg sample will be left in 6 minutes?
Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours after the administration of medication. At this rate of decay, how many bacteria will there be 24 hours from the start of the experiment?
Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this rate of growth, how many bacteria will there be 24 hours from the start of the experiment?
A scientist begins with 100 milligrams of aradioactive substance that decays exponentially. After 35 hours, 50 mg of the substance remains. How manymilligrams will remain after 54 hours?
Alyssa opened a retirement account with 7.25 APRin the year 2000. Her initial deposit was 13,500. How much will the account be worth in 2025 if interest compounds monthly? How much more wouldshe make if interest compounded continuously?
Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this rate of growth, how many bacteria will there be in 24 hours?
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?
According to your model, what is the length of the sunspot cycle (in years)? In 1848, Rudolph Wolf determined the length of the sunspot cycle to be 11.1 years. How does your value compare with his?