111k views
4 votes
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?

User Irobot
by
8.0k points

1 Answer

2 votes

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


y=a(1-r)^t

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

Putting
a=800,r=0.082,t=15 in the above formula, we get


y=800(1-0.082)^(15)


y=800(0.918)^(15)


y=221.68188


y\approx 221.7

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

User Samundra Khatri
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories