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Answer:
a) 99.95 grams are remaining after 4 years.
b) The percent of carbon-14 remaining is about 99.95%
Step-by-step explanation:
The amount of carbon 14 remaining after t years is given by the following equation:
[tex]C(t) = 100(0.99988)^{t}[/tex]
a) Amount remaining after 4 years.
[tex]C(t) = 100(0.99988)^{4} = 99.95[/tex]
99.95 grams are remaining after 4 years.
b) Percentage remaining after 4 years:
[tex]p = \frac{100*C(4)}{C(0)} = \frc{100*99.95}{100} = 99.95[/tex]
The percent of carbon-14 remaining is about 99.95%
a) 99.95 grams are remaining after 4 years.
b) The percent of carbon-14 remaining is about 99.95%
- The calculation is as follows:
a.
The amount of carbon should be
[tex]C=100(0.99988)^4[/tex]
= 99.95 grams
b. The percent is
[tex]= 100 \times 99.95100[/tex]
= 99.95%
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