Respuesta :
The question is incomplete. The complete question is as follows.
The number of grams of palladium-98 remaining after minutes is given by
[tex]Q = 500.(0.962)^{t}[/tex].
a.) Find the quantity remaining after 1 minute. Enter the exact number.
b.) Find the quantity remaining after 3 minutes. Round your answer to 3 decimal places.
c.) Find the quantity remaining after 1 hour. Round your answer to 3 decimal places.
Answer: a.) 481 grams; b.) 445.138 grams; c.) 48.918 grams;
Step-by-step explanation: The equation given is for mass of paladium-98 that remains after determined minutes, so:
a.) [tex]Q = 500.(0.962)^{t}[/tex]
in 1 minute:
[tex]Q = 500.(0.962)^1[/tex]
Q = 481
The quantity remaining after 1 minute is 481 grams.
b.) [tex]Q = 500.(0.962)^{t}[/tex]
[tex]Q = 500. (0.962)^{3}[/tex]
Q = 445.138
The quantity remaining after 3 minutes is 445.138 grams.
c.) [tex]Q = 500.(0.962)^{t}[/tex]
Since t is in minutes, 1 hour is 60 minutes.
[tex]Q = 500.(0.962)^{60}[/tex]
Q = 48.918
The quantity remaining after 1 hour is 48.918 grams.
