The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 68.4% of their carbon-14. How old were the bones at the time they were discovered? The bones were about years old. (Round to the nearest integer as needed.)

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

A: Radio active decay follow the following exponential decay law, N=N0e-λt⋯⋯⋯1 Where, N0 is the initial…

Q: A certain amount is invested at 9% annual simple interest, and after 11 years, its investment is…

A:

Q: An element with mass 140 grams decays by 21.6% per minute. How much of the element is remaining…

A:

Q: An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining…

A: There is an exponential decay with rate of 28.8%.

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

A:

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

A: Given:- The radioactive element carbon-14 has a half-life of 5750 years. To find:-   A scientist…

Q: May is 5 years older than June. 7 years ago, May was two times as old as June. Find their present…

A: To convert the given word problem into equations and find the unknown ages

Q: In Westford, the use of landlines has been declining at a rate of 10% every year. If there are…

A:

Q: An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining…

A: Given that, The mass of the element is 970 grams, which decays by 27.7% per minute. To find: How…

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

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

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

A:

Q: If the population of a city is 145,000. If the population declines continuously by 5% per year, what…

A: solution:Present population, P0=145000Rate of population decline, r =5% Time, t =15 yearsthe…

Q: A particular car is said to depreciate 15% each year. If the car new was valued at $20,000, what…

A:

Q: 1. If 25% of a radioactive substance disappeared in 10 years, how long did it take for 60% of the…

A:

Q: A sample of radioactive material decayed to half of its original amount in 4 years. How long did it…

A: Given: A sample of radioactive material decayed to half of its original amount in 4 years To…

Q: A new car is purchased for $42,000 and over time its value depreciates by one half every 7 years.…

A: According to the given information it is required to find the time it will take for the amount…

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

A:

Q: A 50-mg sample of a radioactive substance decays to34 mg after 30 days. How long will it take for…

A: Given: A 50 - mg sample of a radioactive substance decays to 34 mg after 30 days. To find: The time…

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Question-   If the population of a city is 155,000. If the population declines continuously by 5%…

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

A: we formulate the question with the help of formula  N =Noe-λt where No = initial mass N = remaining…

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

A:

Q: A town has a population of 5000 and grows at 3.5% every year. What will be the population after 15…

A: A town has a population of 5000 and grows at 3.5% every year.

Q: The half-life of the plutonium isotope is 24,360 years. If 10 g of plutonium is released into the…

A: Half life of the plutonium isotope is 24,360 years. If 10g of plutonium is released into the…

Q: A new car is purchased for $33,000 and over time its value depreciates by one half every 4 years.…

A: Ao=Initial value of the car At= Value of the car after "t" years Given: Cost of the new car…

Q: A small metal bar, whose initial temperature was 20° C, is dropped into a large container of boiling…

A:

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

A: Usie the half-life formula: A=A02-th...(1) where,  A=resulting amount after t yearsA0=initial…

Q: A new car is purchased for $25,000 and over time it’s value depreciates by one half every 5.5 years.…

A: Given that initial value = $25000 The value depreciates by one half every 5.5 years So the…

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

A: given half life is 5750 years  using formula N = Noe-λt where N = mass remaining after time t No =…

Q: If18 g of a radioactive substance are present initially and 4yr later only 9g​remain, how much of…

A:

Q: A town has a population of 12000 and grows at 4% every year. To the nearest year, how long will it…

A:

Q: An element with mass 820 grams decays by 26.8% per minute. How much of the element is remaining…

A: We have to use exponential decay function to solve the problem

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 strain of bacteria growing on your desktop doubles every 5 minutes. Assuming that you start with 8…

A:

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

A:

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

A:

Q: Student A is 35yrs old now. 3 yrs ago, student A  was 4 times as old as Student B. how old is…

A: Given, student A is 35yrs old and 3 yrs ago, student A  was 4 times as old as student B To find the…

Q: According to the u.s census bureau, the District of Columbia population is currently 572,000. If the…

A: let 10 years ago X be the population of  District of Columbia . If the population has been growing…

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

A:

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: The half-life formula is given by: y=a(b)th...(1) where y is the final amount, a is the initial…

Q: If the population of a city is 135,000. If the population declines continuously by 7% per year, what…

A: Given that the population of a city is 135000. If the population declines continuously by 7% per…

Q: If 14 g of a radioactive substance are present initially and 8 yr later only 7 g​ remain, how much…

A:

Q: An Oriental rug is 52 years old and a Persian rug is 16 years old. How manyyears ago was the…

A: Let x years ago the Oriental rug was four times as old as the Persian Rug.  x years ago the Oriental…

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

A:

Q: A certain radio isotope has a half-life of 12 years. Find the mass that remains from a 220mg sample…

A: Half life = 12 yrs 220 mg is the initial mass Therefore decay constant = ln2 / half- life

Q: A town has a population of 14000 and grows at 4.5% every year. To the nearest tenth of a year, how…

A:

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

A:

Q: A town has a population of 12000 and grows at 4% every year. To the nearest year, how long will it…

A:

Q: An element with mass 490 grams decays 28.6% per minute. How much of the element is remaining after…

A:

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

A: Explanation: We know that, N=N0e-λtWhere,N=Mass of radioactive after time tN0=Initial mass Firstly,…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.