Two-thousand ounces of a radioactive substance are stored in a radioactive container. The amount, in ounces, of the substance that is left after t years can be modeled by the equation y=2000e−0.00043t, where y is the amount of the substance left after t years. Approximately how many years will it take until 50 ounces of this substance remains?

Approximately 1,933.64 years, it will take until 50 ounce of this substance remains.

Step-by-step explanation:

Given that,

The amount, in ounce, of the substance that is left after t years can be modeled by the equation

To find the time, we put y = 50 ounce in the above equation.

Taking ln function both sides of the above equation

  [ since  ]

              [ since and  ]

      ≈1,933.64 years.

Approximately 1,933.64 years, it will take until 50 ounce of this substance remains.