aklingerman004
Answered

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An element with mass 800 grams decays by 8.2% per day. How much of the element is remaining after 15 days,
to the nearest 10th of a gram?

Sagot :

Given:

The initial mass of an element is 800 grams.

Decay rate = 8.2% per day

Number of days = 15

To find:

The remaining element after 15 days.

Solution:

The exponential decay model is

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value r is the rate of interest and t is time period.

Putting [tex]a=800,r=0.082,t=15[/tex] in the above formula, we get

[tex]y=800(1-0.082)^{15}[/tex]

[tex]y=800(0.918)^{15}[/tex]

[tex]y=221.68188[/tex]

[tex]y\approx 221.7[/tex]

Therefore, the mass of the remaining element is 221.7 grams.

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