The half life of substance A is 22 years, and substance B decays at a rate of 30 % each decade. (a) Find a formula for a function f(t) that gives the amount of substance A, in milligrams, left after t years, given that the initial quantity was 100 milligrams. f(t) = help (formulas) (a) Find a formula for a function g(t) that gives the amount of substance B, in milligrams, left after t years, given that the initial quantity was 100 milligrams. g(t) = help (formulas) (c) of which substance is there less in the long term? OA. There is less of substance B in the long term. OB. There is less of substance A in the long term. OC. There is no way to tell.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The half life of substance A is 22 years, and substance B decays at a rate of 30 each decade.
(a) Find a formula for a function f(t) that gives the amount of substance A, in milligrams, left after t years, given that the initial quantity
was 100 milligrams.
f(t) =
help (formulas)
(a) Find a formula for a function g(t) that gives the amount of substance B, in milligrams, left after t years, given that the initial quantity
was 100 milligrams.
g(t)
help (formulas)
(c) of which substance is there less in the long term?
OA. There is less of substance B in the long term.
OB. There is less of substance A in the long term.
OC. There is no way to tell.
Transcribed Image Text:The half life of substance A is 22 years, and substance B decays at a rate of 30 each decade. (a) Find a formula for a function f(t) that gives the amount of substance A, in milligrams, left after t years, given that the initial quantity was 100 milligrams. f(t) = help (formulas) (a) Find a formula for a function g(t) that gives the amount of substance B, in milligrams, left after t years, given that the initial quantity was 100 milligrams. g(t) help (formulas) (c) of which substance is there less in the long term? OA. There is less of substance B in the long term. OB. There is less of substance A in the long term. OC. There is no way to tell.
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