Element X is a radioactive isotope such that every 25 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 910 grams, how long
would it be until the mass of the sample reached 400 grams, to the nearest tenth of a
year?

It will take 25.6 years for the mass of the sample to reach 400 grams.

Step-by-step explanation:

Element X is a radioactive isotope such that every 25 years, its mass decreases by half.

This means that the amount of the substance after t years can be modeled by a function in the following format:

In which A(0) is the initial amount.

Initial mass of a sample of Element X is 910 grams.

This means that

So

How long would it be until the mass of the sample reached 400 grams?

This is t for which

So

It will take 25.6 years for the mass of the sample to reach 400 grams.

5/6

step-by-step explanation:

if i remember correctly with perpendicular stuff you just take away the negative

2,600 divided by 80 = 32.5

step-by-step explanation: