Carbon-14 is a radioactive element with a half-life of about 5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14. We are interested in the time (years) it takes to decay carbon-14 . Thirty percent (30%) of carbon-14 will decay within how many years? a. Sketch the graph. and shade the area of interest. b. Find the value k such that P(x < k) = 0.30

Q: Create an approximate exponential model for the data set. 1. 1 2 -2 4. f(x) 1.2 1.6 2.0 2.6 3.4 f(x)…

A: To find f(x) using 1 as reference.

Q: 3. Solve. Show steps. 2 log x' - 5log x = 3

A:

Q: (Simplify your answers. Do not round until the final answers. Then round to four decimal places as…

A: a) potonium find the decay rate when half time is 44.6 mins let the initial amount be 100 final…

Q: The half life of radon in 4 days . From a sample of 450g determine an equation that can be used to…

A: The half life is the time period in which the half of the initial quantity of substance is consumed…

Q: A certain drug ingested by a patient is initially 20 mg. After 10 hours, the amount of the drug in…

A: Law of Decay is given as follows Where A is the amount any time t  is the initial amount k is the…

Q: Find the value of the expression log36 to the nearest ten-thousandth. O A. 1.5563 O B. 360.2348…

A: log 36

Q: 5. The value of a car depreciates exponentially over time. You spend $20000 to purchase the car, and…

A:

Q: . A certain substance has a half-life of 2 months. We start with 120 g substance. b. How much is…

A:

Q: Write an exponential equation describing the given population at any time t. Initial population 200;…

A: Given : Initial population is 200. doubling time is 5 month.

Q: Solve the problem. An artifact is discovered at a certain site. If it has 51% of the carbon-14 it…

A: A decay function is of the form:P=Po×1-rt          Equation 1   HereP=final valuePo=initial…