Respuesta :
Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.
Step-by-step explanation:
Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.
c= 100 (0.99988)^t
c =100 (0.99988)^4
c = 100 x 0.999520086
c= 99.95200864 ≅99.95 grams (rounded)
The amount of carbon-14 remaining after 4 years is 99.95 grams.
Feel free to ask for more if needed or if you did not understand something.
The amount of carbon-14 remaining after 4 years is 99.95 grams.
Given that,
The amount c in grams of a 100-gram sample of carbon-14 remaining after t years is represented by the equation,
[tex]\rm c = 100(0.99988)^t[/tex]
We have to determine,
The amount of carbon-14 remaining after 4 years.
According to the question,
Equation; [tex]\rm c = 100(0.99988)^t[/tex]
Where the amount c in grams of a 100-gram sample of carbon-14 remaining after t years is represented by the equation,
To determine the amount of carbon-14 remaining after 4 years following all the steps given below.
Then,
The amount of carbon-14 remaining after 4 years is,
[tex]\rm c = 100(0.99988)^t\\\\\rm c = 100(0.99988)^4\\\\ c = 100 \times 0.999520086\\\\c = 99.95 \ gram[/tex]
Hence, The amount of carbon-14 remaining after 4 years is 99.95 grams.
For more details refer to the link given below.
https://brainly.com/question/5898472
