Growth of wood

The annual growth of wood in the forest is estimated at 2%. In how many years will make the forest volume double?

Result

n =  35

Solution:

q=2%=1+2100=1.02  qn=2 nlnq=ln2  n=ln(2)/ln(q)=ln(2)/ln(1.02)35.002835q=2 \%=1 + \dfrac{ 2 }{ 100 }=1.02 \ \\ \ \\ q^n=2 \ \\ n \ln q=\ln 2 \ \\ \ \\ n=\ln(2) / \ln(q)=\ln(2) / \ln(1.02) \doteq 35.0028 \doteq 35



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