An element with the mass 330 grams decays by 25.5% per minute. HOW MUCH OF THE ELEMENT IS REMAINING AFTER 5 MINUTES, TO THE NEAREST 10TH OF A GRAM.
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Answer:
Equation: 330-.255(5)=X. Multiply: .255(5)=1.275, 330-1.275=X. Subtract: 330-1.275=328.725 or 328.73 :)
Step-by-step explanation:
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The element remaining after 5 minutes will be 75.7 grams.
Given:
mass of an element = 330 grams
rate of decay = 25.5%
To Find:
the amount of element that is remaining after 5 minutes
Solution:
after 1 minute, the element remaining will be = 330 - (25.5/100 × 330)
= 330(1 - 0.255)
after 2 minutes, the element remaining will be = 330(1 - 0.255)(1 - 0.255)
= 330(1 - 0.255)²
thus, after 5 minutes, the element remaining will be = 330(1 - 0.255)⁵
= 330(0.745)⁵
= 330 × 0.2294
= 75.7
Thus, the element remaining after 5 minutes will be 75.7 grams.
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