Answered: The radioactive element Carbon-14 has a…

The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measure to have lost 20% of its Carbon-14. Determine the age of the fossil to the nearest year

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.CR: Chapter Review

Problem 15E: The half-life of a radioactive material is about 34.2 years. How much of the material is left after...

See similar textbooks

Related questions

Q: In the 2000 U.S. Census, a small city had a population of 60,000. By the 2010, the population had…

Q: According to a certain central bank from 2000 to 2016 the average price of a new home in a certain…

A: It is given that, the average price of a new home in a certain region increased by 79% to $483…

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

Q: During each hour, an exhaust fan removes 15.0% of the carbon dioxide present in the air in a room at…

A: Solution : Given that Decreasing rate r = 15.0% = 15/100 = 0.15 Number of hours n = 10.0 hours

Q: According to the American Wind Energy Association, wind energy operating capacity increased from…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: The population of a city has decreased by 32% since it was last measured. If the current population…

A: From the information, Let x denote the population of city when it was last measured The current…

Q: Approximately 75% of study time for Elaine was below ______.

A: Given blox plot of two different students

Q: You have 128 grams of a radioactive kind of strontium. If its half-life is 51 days, how much will be…

A: ln e= 1 ln ab=b ln a

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By the 2010, the population had…

Q: By 2020, it is estimated that health care spending in a particular country will be $5.1…

A: Given information Total spending money for country=$5.1 trillion Per person spending money=$45,700…

Q: A person invested 30,000 and over time its value depreciates by one half every 5 years. What is the…

A: P = $ 30000 Every 5 year it's value depreciates by half Yearly depreciation = 3000 Rate of…

Q: During a preliminary survey of an asteroid, chemical analysis indicated that a certain radioactive…

Q: From its founding through 2015, the Rock and Roll Hall of Fame has inducted 303 groups or…

Q: Estimate the price of one barrel of crude oil on January 12, 2015, and the rate at which it was…

A: Estimate the price of one barrel of crude oil on January 12, 2015, and the rate at which it was…

Q: The half-life of carbon-14 is about 5730 years. a. Complete the table, which shows the amount of…

A: .

Q: In 2000, the population of a city was 72,000. The population had grown to 123,000 by 2010. If…

Q: If the price of gold decreases at a monthly rate of 1.8%, by what percentage does it decrease in a…

A: Consider the price of the gold is 100. Since after a period of 12 months the price of the gold…

Q: Researchers recorded that a certain bacteria population declined from 290,000 to 300 in 24 hours. At…

A: Bacteria in 16 hours=?

Q: Yahoo! Inc. had annual revenues of approximately $5.0 billon in 2012 and $4.6 billion in 2014.…

A: Explanation: Given that, 2012 revenue = $5 billion 2014 revenue = $4,6 billion Formula Used: Mid…

Q: In the 2000 U.S. Census, a small city had a population of 60,000. By the 2010, the population had…

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

A: A certain radioactive substance has a half-life of 38 hours. t1/2 = 38 hrs We know that every…

Q: In 2010, the population of Austin, Texas, was 790,390. In 2017, Austin's population was estimated to…

Q: According to the model, what was the city's population 4 years after it was founded? Round your…

A: The value of a function f(x) at a value of x is obtained by substituting the value of x in the…

Q: The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of Question…

A: Given: Half life of Krypton-91 = 10 seconds Initial amount of Krypton-91 = 16 gm We have to find how…

Q: A Tesla Model Xsells for $104,350; if the car depreciates or loses 17% of its value each year. How…

A: Given that the depreciation rate = 17% = 0.17 So the depreciation factor = 1 - 0.17 =0.83 So after…

Q: A manufacture has been selling 1700 television sets a week at $390 each. A market survey indicates…

A: Given- Manufacturer sells 1700 television sets a week at $390 each . For each $13 the number of sets…

Q: If 525 mg of a radioactive element decays to 450 mg in 48 hours, what is its half-life?

A: we are using model for radioactive decayN=N0e-λtwhereN0=initial amountN=The amount test of a…

Q: Find the temperature at which the Celsius measurement and the Fahrenheit measurement are the same…

A: Find the temperature at which the Celsius measurement and the Fahrenheit measurement are the same…

Q: There are 6,000 cases of Coronavirus in Hong Kong. If Coronavirus cases increase at a rate of 3% per…

A: according to question number of Coronavirus cases after n days is=6000(1+3100)n =6000(1.03)n

Q: If one earthquake has magnitude 6.5 on the Richter scale, what is the magnitude of another quake…

A: If one earthquake has magnitude 6.5 on the Richter scale, then the magnitude of another earthquake…

Q: If the price of gold decrease at a monthly rate of 2.1%, by what percentage does it decrease in a…

A: If something is decreasing at 2.1% per month,then after 1 month we have 100%-2.1%=97.9%so after each…

Q: A car was bought for $85,000. It was sold 10 years later for $20,500. At what yearly rate did it…

Q: Complete the table for the radioactive isotope. Isotope 226Ra, Half Life (In years) 1599, Initial…

A: Given, Isotope 226Ra, Half-Life (In years) 1599, Initial Quantity 20g Let y represent the mass in…

Q: Approximately 430 000 birds were killed by wind turbines in a given country. It is estimated that…

A: Given information:It is given that; the approximate number of birds killed by wind turbines in a…

Q: Estimate the output of the company in 1965. auk oda ni ogr Mooo nouris

Q: Jennifer Marlowe was making $43,276 in 1980. Use the CPI table to determine whát her salar would be…

Q: What is the average annual percent increase in international passenger revenues?

A: A company reported their revenues increased from $52 million in 1998 to $510 million in 2021 X0 =…

Q: A new car is purchased for $35,000 and over time its value depreciates by one half every 6 years.…

A: Given Initial Cost of car = $35000 its value depreciates by one half every 6 years

Q: A certain battery has had a capa dropped to a capacity of 70 amp percent decrease in capacity.

Q: The population of the Norway doubled in the last 12 years from 1995 to 2007. Assuming the rate of…

A: According to question,Population of Norway doubled in 12 years from 1995 to 2007.

Q: In the 2000 U.S. Census, a small city had a population of 40,000. By the 2010, the population had…

A: Let the population of city at time t be: y(t)

Q: A new IPhone is estimated to lose 25% of its value every semi-anually after its purchase. How much…

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

A: Radioactivity equation is given by, N =NO e-λt where, NO = Initial quantity…

Q: Click cell J9, and insert a formula that calculates the percentage change in value by subtracting…

A: Change in value by subtracting the Issue Price from the Current Value is (I9-F9). Where 9 is row…

Q: An unknown radioactive element decays into non-radioactive substances. In 700 days the radioactivity…

A: An unknown radioactive element decays into non radioactive substances. In 700 days, the…

Q: The half life of a radioactive isotope is 70 years. If 150 grams of the isotope is originally…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: ritium, a radioactive isotope of hydrogen, has a hald-life of 12.4 years. of an initial sample of 41…

A: Given: The half life of tritium is 12.4 years. The initial mass of the sample is 41 grams.

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A: initial mass=135 grams half-lives=4

Q: The population of a city has increased by 29% since it was last measured. If the current population…

Question

The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measure to have lost 20% of its Carbon-14. Determine the age of the fossil to the nearest year.

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

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The half-life of a radioactive material is about 34.2 years. How much of the material is left after 20 years?
The half-life of radioactive iodine is 60 days. How much of a 50 mg sample will be left in 40 days?
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?
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?
An earthquake in Mexico in 1985 had and intensity level about 125, 000, 000 times the reference intensity. Find the Richter number for that earthquake.
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?
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?