Element X is a radioactive isotope such that every 38 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 890 grams, write a
function showing the mass of the sample remaining after t years, where the annual
decay rate can be found from a constant in the function. Round all coefficients in the
function to four decimal places. Also, determine the percentage rate of decay per
year, to the nearest hundredth of a percent.

f(x)=890(98.68)^t-1

Step-by-step explanation:

the amount decays by 1.32% each year. So multiply by 98.68%, which is the remaining amount after 1 year.

f(x)= 890(98.68)^t-1

890 is your initial amount. Multiply that by 98.68 to get the remaining amount after 1 year. then multiply that to the power of t-1, t being the term number, or amount of years from the initial amount. You subtract by 1 because 890(98.68) is already demonstrating the amount after the first term.

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.