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 result:

p =  0.9577 %

Solution:

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

Try another example

Showing 0 comments:

Related math problems and questions:

• 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?
• Profit growth
  The profit of a company increased by 25% during the year 1992, increased by 40% during the year 1993, decreased by 20% in the year 1994 and increased by 10% during the year 1995. Find the average growth in the profit level over the four years periods?
• 3 years
  The company has increased the number of employees. In year 2005 compared to 2004 13% more, in 2006 18% more against the previous year, in year 2007 20% more compared to 2006. How many % increase in the number of employees in 3 years?
• Annual growth
  The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
• Annual increase
  The number of cars produced increased from 45,000 to 47,000 in 3 years. Calculate the average annual increase in cars in%.
• Savings
  The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua
• Investment
  1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years?
• What is
  What is the annual percentage increase in the city when the population has tripled in 20 years?
• Demographics
  The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase of population?
• The city
  At the end of 2010 the city had 248000 residents. The population increased by 2.5% each year. What is the population at the end of 2013?
• Former price
  The price of an article is cut by 10%, to restore it to the former value, by what percent the new price must be increased?
• The town
  The town population is 56000. It is decreasing by 2% every year. What will be the population of the town after 13 years?
• Wood in the forest
  The amount of wood in the forest was estimated at 6000 m³. How much wood will be in forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m³ each year?
• Radioactive material
  A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years?
• Loan
  Apply for a $ 59000 loan, the loan repayment period is 8 years, the interest rate 7%. How much should I pay for every month (or every year if paid yearly). Example is for practise geometric progression and/or periodic payment for an annuity.
• 3y inflation
  Price of the roll rise in the first year by 9%, the second year fell by 5% and in the third year increased by 3%. Calculate the average annual increase in price of the roll.
• The city 2
  Today lives 298000 citizens in the city. How many citizens can we expect in 8 years if their annual increase is 2.4%?