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Elanso [62]
2 years ago
5

What’s the value of 7 In 7(n)=50+4n

Mathematics
1 answer:
PolarNik [594]2 years ago
7 0

Step-by-step explanation:

7n - 4n = 50 \\ 3n = 50 \\ n =  \frac{50}{3}  \\ n = 16.66

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Answer:

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Step-by-step explanation:

We know that

half life time of C-14 is 5730 years

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now, we can use formula

P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }

we can plug back h

and we get

P(t)=P_0(\frac{1}{2})^{\frac{t}{5730} }

An old bone contains 80% of its original carbon-14

so,

P(t)=0.80Po

we can plug it and then we solve for t

0.80P_0=P_0(\frac{1}{2})^{\frac{t}{5730} }

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\ln \left(0.8\right)=\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{5730}}\right)

t=-\frac{5730\ln \left(0.8\right)}{\ln \left(2\right)}

t=1844.6479

So,

An old bone contains 80% of its original carbon-14 in 1844.6479 years


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