angelinaskerrit6328 angelinaskerrit6328
  • 25-12-2017
  • Mathematics
contestada

The decay rate for a radioactive isotope is 9.29.2 percent per year. find the half-life of the isotope. round to the nearest tenth of a year.

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 25-12-2017
Exponential decay is given by the equation

F = P(1 - r)^t

0.5 = 1(1 - 0.092)^t

0.5 = (0.908)^t

log 0.5 = log (0.908)^t

log 0.5 = t * log 0.908

t = (log 0.5)/(log 0.908)

t = 7.18

Answer: 7.2 years
Answer Link

Otras preguntas

A doctor has 150 miles to travel before reaching the hospital. He decides to take the interstate instead of the two-lane highway so he can increase his speed fr
Which is equivalent to sqrt 50x^3 after it has been simplified completely?
Please help I need this asap
The___controls the rate of breathing.
Solve 4(x - 3) - 2(x - 1) > 0.
Although, nutritionally, breakfast is the most important meal of the day, only 1/5 of the people in the United States consistently eat breakfast. What percen
Bill forgets to put his car in park and it starts rolling west. When it is moving at a speed of 3.5 m/s, it collides with Tanya's car, which is moving at a spee
Evaluate x+y when x=-20.3 and y=1.4
Question Literary Analysis: To Kill a Mockingbird Things to Do: Choose a prompt Draft your claim sentences Choose your quotations (evidence) Crea
A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went dow