Estimating the Date That a Prehistoric Man Died The bonesof a prehistoric man found in the desert of New Mexicocontain approximately 5% of the original amount of carbon14. If the half-life of carbon 14 is 5730 years, approximatelyhow long ago did the man die?

Q: exponetials  Three years ago I purchased a car for $3 0,000.00. I just found out the car has a…

A:

Q: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

A: Let the decay model for wooden artifact is: T=Toe-kt……1 where T=Present quantity of…

Q: A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in…

A: The general formula for radioactive decay of the Carbon-14 in terms of half life is,…

Q: 13. Annual interest rate. Euler Bank advertises that it com- pounds interest continuously and that…

A: Given- Euler bank dobules the amount in 15 year. To Find- The annual interest rate. Identity Used-…

Q: B- The production of the oil well decline exponentially, the initial flow rate is 1500 STB/day , the…

A: exponential model P = Abt  where P is production t is time, A and B are constants. for exponential…

Q: The value of a new car purchased for $20,000 decreases by 10% per year. Write an exponential decay…

A: Given data: The given value of the car is a=$20,000. The rate at which the value of the car…

Q: antity of U-232 remains after 30 yea

A: The quantity remains after 30 years is 75%. It is given that AA0=0.75 , t=30 years. The equation…

Q: Carbon-14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A:

Q: This exercise uses the radioactive decay model. A wooden artifact from an ancient tomb contains 60%…

A:

Q: Estimating the Age of a Tree A piece of charcoal is foundto contain 30% of the carbon-14 that it…

A:

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

A:

Q: This exercise uses the radioactive decay model. A wooden artifact from an ancient tomb contains 60%…

A: We can solve the given problem in the following way:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.0001211…

A:

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A:

Q: Radioactive decay The mass of radioactive material in a sample has decreased by 30% since the decay…

A: We know that a function that decrease exponentially has the form yt=y0e-kt, where y0=y0 is the…

Q: Starting at age 25, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A:

Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Decay and half life

Q: Carbon-14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Let a be the amount of radioactive content in the charcoal. So, if λ is the decay rate, then we can…

Q: Prehistoric cave paintings of animals were found in the Lascaux Cave in France in 1940. Scientific…

A: Half the age of Carbi -14 is 5730 years. The exponential growth model is given by A=A0ekt   Where A…

Q: You invest a sum of money at an annual interest rate of 12% compounded continuously. After 42 months…

A: Given that : Annual intrest rate ( R ) = 12% Time ( N ) =  42 months = 3.5 year Balance in the…

Q: uppose that you have deposited a certain amount of money in a bank that pays an terest rate of 2.5%,…

A: Topic:- algebra

Q: Twenty percent of a radioactive substance decays in ten years. By what percent does the substance…

A: We have to find the percent the substance decay each year.

Q: An Exponential function has a decay factor of 0.40. What is the percentage decay rate?

A:

Q: Carbon 14 (14C) dating assumes that the carbon dioxide on Earth today has the same radioactive…

A: Let it was t years ago. And let there was x unit initially. So now there will be 23% of x= 0.23x…

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A= 16 e-0.000 1211…

A: given  A=16e-0.000121t

Q: ) Assume that the number of bacteria follows an exponential growth model: P(t) = Poet. The count in…

A: →Form two euations from the data given to find two unknown , then solve the final equation to get…

Q: 7. A $7,000 investment earns 9% interest, compounded continuously. Find its value after 3 years.

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A=16e-0.000121t describes…

A:

Q: Scientists can determine the age of ancient objects by themethod of radiocarbon dating. The…

A: Here, we will use the known half-life of C to find the radioactivity after time t. We know that…

Q: Carbon 14 (14C) dating assumes that the carbon dioxide on Earth today has the same radioactive…

A: Initial amount of carbon =1 Final amount = 22%= 0.22  Half life= 5700 years  time= t =? The…

Q: Radioactive Decay The half-life of cobalt is 5.27 years. If100 grams of radioactive cobalt is…

A: So the fraction of cobalt let after t years is(1/2)^(t/5.27)so the amount of the 100g left after t…

Q: An archaeologist found a burial jar when excavating in an ancient village. To determine the age of…

A: Rate of decay of C14 is proportional to its amountdctdt=kct…

Q: Radioactive Decay The half-life of radium is 1690 years.If 10 grams is present now, how much will be…

A: Given that, the half-life of radium is 1690 years, and the amount present is 10 grams.   The…

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A: Given that,

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

A:

Q: The value of a CNC milling machine, originally valued at £240000, depreciates 15% per annum.…

A: Depreciation formula , P=Po(1-(r/100))n Where Po= original value P is the value after n years r=…

Q: Use the half-life information (picture) from the table to work the exercise.  Estimate the age of a…

A:

Q: - of the carbon-14 that is present in living trees. How long ago was the artifact made? (The…

A:

Q: A radioactive substance decays by 0.2% each year. a) If you started with 90mg of this substance, how…

A:

Q: This exercise uses the radioactive decay model. A wooden artifact from an ancient tomb contains 70%…

A: Given information is as follows; Half life = 5730 years Fraction remaining = 70% = 0.7 The given…

Q: You want to invest money for your child's education in a certificate of deposit (CD). You want it to…

A: First we write the formula A= Final amount P= principal amount r= rate of interest (in…

Q: Solve the problem. When needed, use 365 days per year and 30 days per month. An initial investment…

A:

Q: We are going to invest $100,000 in an account that earns interest at a rate of 7.5% for 54 months.…

A: Solving the problem by finding the value of the interest.

Q: The population growth rate is 3.0% per day with a current population of 30,000.            a.…

A:

Q: Carbon 14 (14C) dating assumes that the carbon dioxide on Earth today has the same radioactive…

A: Given :- Carbon 14 C14 dating assumes that the carbon dioxide on Earth today has the same…

Q: This exercise uses the radioactive decay model. A wooden artifact from an ancient tomb contains 65%…

A: to find : time t, when tomb contains 65% C-14.

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A:

Q: The amount A, micrograms of a certain radioactive substance remaining after t years decreases…

A: We will use the fact that at half life the amount of the substance remaining is (A_o)/2 to find the…

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…

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.