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 2 years ago
The mass m(t) remaining after t years from a 90gram sample of a radioactive element is given by m(t)=90e^0.3t. When will the mass remaining equal 9 grams? Round your answer to the nearest hundredth of a year.
 2 years ago
The mass m(t) remaining after t years from a 90gram sample of a radioactive element is given by m(t)=90e^0.3t. When will the mass remaining equal 9 grams? Round your answer to the nearest hundredth of a year.

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satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1\[9=90e^{.3t}\] we solve for \(t\) divide by 90 get \[\frac{1}{10}=e^{.3t}\] or if you prefer \[.1=e^{.3t}\] then in log form this means \[\ln(.1)=.3t\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1finally \[t=\frac{\ln(.1)}{.3}\]and then a calculator
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