Volume of wood

Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p?

Result

p =  0.958 %

Solution:

(1+p/100)10=1+10/100 (1+p/100)10=1.1  p=100⋅ (1.110−1)≐0.9577=0.958%(1+p/100)^{10}=1 + 10/100 \ \\ (1+p/100)^{10}=1.1 \ \\ \ \\ p=100 \cdot \ (\sqrt[10]{ 1.1 }-1) \doteq 0.9577=0.958 \%

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