Solve problem

Question

The function A=A₀e^-0.00866x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 700 pounds of the material are initially put into the vault, how many pounds will be left after 90 years? 

 

 

 

 

 

 

 

 

(use model exponential growth and decay) 

Answer 1

A = A₀e^-0.00866x

 

For A₀ = 700 pounds and x = 90 years:

 

A = 700e^-0.00866*90

 

A = 700e^-0.7794

 

Solve for A.