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An element with a mass of 990 grams decays by 16.9% per minute. To the nearest minute, how long will it be until there are 80 grams of the element remaining?

Answer :

Answer:

14

Step-by-step explanation:

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Rewritten by : Barada

Answer:

It will take 13.58 minutes until there are 80 grams of the element remaining

Step-by-step explanation:

An element with a mass of 990 grams decays by 16.9% per minute.

We are supposed to find how long will it be until there are 80 grams of the element remaining

Formula :[tex]N(t)=N_0(1-r)^t[/tex]

N(t)=Amount after t minutes

[tex]N_0[/tex]=Initial amount

r = rate of decrease = 0.169

t = time in minutes

Substitute the values in the formula :

[tex]80=990(1-0.169)^t[/tex]

[tex]\frac{80}{990}=0.831^t[/tex]

t=13.58

Hence It will take 13.58 minutes until there are 80 grams of the element remaining