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?

Correct answer:

p =  0.9577 %

Step-by-step explanation:

$$\begin{gathered} (1+p\mathrm{/}100{)}^{10}=1+10\mathrm{/}100 \\ (1+p\mathrm{/}100{)}^{10}=1.1 \\ p=100\cdot (\sqrt[10]{1.1}-1)=0.9577\mathrm{\%} \end{gathered}$$

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