Element X is a radioactive isotope such that its mass decreases by 26% every year. If an experiment starts out with 490 grams of Element X, write a function to represent the mass of the sample after t years, where the monthly rate of change 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 change per month, to the nearest hundredth of a percent.
Element X is a radioactive isotope such that its mass decreases by 26% every year. If an experiment starts out with 490 grams of Element X, write a function to represent the mass of the sample after t years, where the monthly rate of change 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 change per month, to the nearest hundredth of a percent.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Element X is a radioactive isotope such that its mass decreases by 26% every year. If
an experiment starts out with 490 grams of Element X, write a function to represent
the mass of the sample aftert years, where the monthly rate of change 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 change per month, to the nearest
hundredth of a percent.
Function: f(t)
Growth
% increase per month
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