An element with mass 310 grams decays by 5.7% per minute. How much of the element is remaining after 9 minutes, to the nearest 1

Question

Lunna [17]

3 years ago

6

An element with mass 310 grams decays by 5.7% per minute. How much of the element is remaining after 9 minutes, to the nearest 1

0th of a gram?

Mathematics

1 answer:

katen-ka-za [31] · Answer 1 · 2022-08-18T05:22:25+03:00

katen-ka-za [31]3 years ago

8 0

1st
I need to find out what percentage is left after 1 minute
100 - 5.7 = 94.3% (0.943)

2nd plug into the formula $A = A_{0} r^{t}$

A0 = 310
r = 0.943
t = 9

$A = 310(0.943)^{9} \\ A = 310(0.58966) \\ A = 182.8 g$