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OLEGan [10]
2 years ago
12

nathan works at a hardware store today he sold 48 tools 5/6 of the tools he sold were hammers how many hammers did nathan sell t

oday
Mathematics
1 answer:
SSSSS [86.1K]2 years ago
5 0

Answer:

He sold 40 hammers.

Step-by-step explanation:

5/6 of 48 tools.

This just means 5/6*48, which is 40.

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SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

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Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

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10 months ago
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Well the answer would be 8 as the total sum would be 6 x (8) = 48
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