Radioactive Carbon-14 The percentage P of radio- active carbon-14 remaining in a fossil after t years is 1/5700 given by P = 100()", Suppose a fossil contains 35% of the carbon-14 that the organism contained when it was alive. Estimate the age of the fossil.

Q: Population growth Growing from an initial population of 150,000 at a constant annual growth rate of…

A:

Q: Detennining Decay from Half-Life A cenain radioactive substance has a half-life of 5 hours. Find the…

A: By hay-site  , rate of decaycan be found out :0.5 = e5ren(0.5) = 5 rr = -0.139

Q: 14. Annual interest rate. Hardy Bank advertises that it com- pounds interest continuously and that…

A: It is given that the interest is compounded continuously, Let the rate of interest is r% The time…

Q: In a tank 100 liters of brine containing 50.0 kg total of dissolved salt. Pure water is allowed to…

A: solution :            let y(t) be the amount of salt dissolved in tank after t minutes  we are given…

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4651 per…

A:

Q: 5. A certain compound is analyzed in a laboratory to test the theory that the rate of conversion of…

A:

Q: a quantity an initial value of 220 grows continuously at a rate of 9.5% per hour. What is the value…

A:

Q: 3. A certain substance has a decay rate proportional to amount present. It is observe that it has an…

A: Make differential equation

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4379 per…

A:

Q: A quantity with an initial value of 1800 continuously at a rate of o.7% per hour. What is the value…

A:

Q: In the tank of 100 liters of brine containing 50kg totally dissolved salt. Pure water is allowed to…

A: Let y(t) be the amount of salt dissolved in the tank in kilograms after t minutes. Initially amount…

Q: An investment has been making money. Its value has been increasing at the rate of 7.1% per year.…

A: Note: It is assumed that the interest is simple interest.   When the interest is simple, then the…

Q: A swimming pool whose volume is 10,000 gal contains water that is 0.03% chlorine. Starting at t=0,…

A: Given: the volume of swimming pool = 10000 gal that contains 0.03% chlorine. at t=0  ,0.002%…

Q: An office contains 1000 ft 3 of air initially free of carbon monoxide. Starting at time = 0,…

A: An office contains 1000 cubic ft of air initially free of carbon monoxide. Percentage of smoke…

Q: The temperature dependence of the equilibrium constant is given by the equation: ΔΗ In K = In A – RT…

A:

Q: Effective half-life is the time required for a radioactive isotope contained in a body to reduce its…

A: we simply apply effective time formula and find out what we need.

Q: A fine antique has been appreciating in value since its purchase. Its value has been increasing at…

A: Solution

Q: A tank with a capacity of 210 liters, initially contains a solution with 20 kilograms of salt…

A: Total volume = 210 litre  Half-tank = 105 litre  Initial volume = 50 litre  Initial concentration =…

Q: 32. An experiment starts and the population of a bacteria culture increases by 10% in the first…

A: According to the question, experiment starts and the population of bacteria culture increases by 10%…

Q: On May 12, a fast-growing species of algae is accidentally introduced to a pond in an urban park.…

A:

Q: A certain quantity Q has an intial value of 80 and grows at a rate of 7% per month.  Give an…

A:

Q: 3. A (right circular) cylinder is expanding in such a way that its height is increasing three times…

A: This question is about application of derivative.

Q: Radioactive Decay The amount of radioactive isotope thorium-234 present in a certain sample at timet…

A: Given :         The amount of isotope present in a certain sample at time t is            A(t) =…

Q: An investment of $9,000 earns interest at an annual rate of 6.5% compounded continuously. Complete A…

A: Use the following formula,

Q: 3. A large tank contains 1 0001 of pure water. A brine solution containing 0.1 kg of salt per litre…

A:

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A: Given : An investment earns 4% per year and is worth $ 90,000 after 9 years, To find the present…

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4393 per…

A: Population Growth of yeast cell: P(t)= Poeλt

Q: A radioactive substance decays at a continuous rate of 14.6 % per day. After 18 days, what amount of…

A:

Q: 1. A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble…

A: Initial condition t= 0min of tank45 liters = Amount of solution in tank, v080g        = Amount of…

Q: 1. The area of a triangle is increasing at a rate of 2 as the altitude increases at a rate of 1. How…

A:

Q: Consider a tank used in hydrodynamic experiments. After one experiment the tank contains 200 L of a…

A: y=amount of salt at time t  ............the water is fresh

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4493 per…

A: To find the population size

Q: A 40mg sample of a radioactive isotope decays to 30mg in 6.0 hours.  Determine its half life, to 2…

A:

Q: The initial population size of rock ptarmigans in an area is 500 ptarmigans. The growth rate is 0.2…

A:

Q: Radium decomposes at a rate proportional to the quantity of radium present. Suppose that it is found…

A:

Q: radioactivity of an element decreases by 72 percent in 820 days. Determine the half-life of the…

A:

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A:

Q: Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well.…

A:

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A:

Q: A drug is administered every 4 hours in dose of 8 mg. The drug is neutralized at an exponential rate…

A:

Q: 1. The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A: We have to calculate initial number of bacteria

Q: Suppose that you are doing an experiment as part of your Capstone Design Project. A glass vessel…

A:

Q: A radioactive substance decays at a continuous rate of 5.2 % per day. After 14 days, what amount of…

A: Given problem:- A radioactive substance decays at a continuous rate of 5.2% per day. After 14 days,…

Q: 3. After long study, tree scientists (dendrologists) conclude that a eucalyptus tree will grow at a…

A: Given : A eucalyptus tree will grow at a rate of 0.6+4t+13 feet per year , t is time in years.…

Q: U.S. Population Using data for selected years from1990 and projected to 2050, the total U.S.…

A: y=-363.3+166.9lnx Where, x represents the number of years and y represents the number of people. The…

Q: A firm decides to increase output at a constant relative rate from its current level of 24,000 to…

A: Use the formula for the growth of any thing and Substitute the given data than simplify.

Q: In a factory there is a 10,000 liter water tank that contains 0.01% colorant. From the beginning (t…

A: “Since you have asked multiple questions, we will solve the first question for you i.e. the…

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A: Given: An investment earns 6% per year and is worth $70,000 after 7 years. To find: Present value of…

Q: 2. Initial value = 25 Decay factor = 0.8 25x <4 and 65 x 58 What is the initial value? What is the…

A: a(initial value)=25 decay factor(1-r)=0.8 f(x)=a(1-r)^x average rate of change using the slope…

Q: A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held…

A:

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.