Pilsen Region

Between 2000 and 2001, 14 per mille of the population decreased in the Pilsen Region. In 2000, the Pilsen Region had 551281 inhabitants. If the declining trend continues the same (i. E. , 14 per mille of inhabitants per year), how many inhabitants will the Pilsen Region have in 2100?

Correct answer:

n =  136517

Step-by-step explanation:

$$\begin{gathered} a=551281 \\ q=1-{\displaystyle \frac{14}{1000}}={\displaystyle \frac{493}{500}}=0.986 \\ t=2100-2000=100 \\ n=a\cdot q^{t-1}=551281\cdot 0.986^{100-1}=136517 \end{gathered}$$

Try another example

Related math problems and questions:

• Pilsen circus
  The arrival of the circus in Pilsen was seen in the morning at 08:00 by a city citizen. He passed this information on 08:15 to three other residents of the city. Each of these three people then informed the other three residents at 08:30, and again at 08:
• Demographics
  The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase of population?
• Annual growth
  The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
• Population
  The town has 65,000 inhabitants. 40 years ago, there were 157,000. How many people will live in a city in 10 years if the population's average rate is as in previous years?
• 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?
• 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?
• Geometric progression
  In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217.
• 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?
• Q of GP
  Calculate quotient of geometric progression if a1=5 a a1+a2=12.
• Population growth
  How many people will be on Earth from two people for 5,000 years, if every couple has always 4 children, (2 boys and 2 girls) at the age of 25-35, and every man will live 75 years?
• Population
  What is the population of the city with 3% annual growth, if in 10 years the city will have 60,000 residents?
• Geometric progressiob
  If the sum of four consective terms of geometric progression is 80 and arithmetic mean of second and fourth term is 30 then find terms?
• 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?
• Quotient
  Determine the quotient and the second member of the geometric progression where a3=10, a1+a2=-1,6 a1-a2=2,4.
• Fish population
  The number of fish in a lake decreased by 10% during period of one year. Last year there were 500 fish in the lake. What is the fish population this year?
• Microorganisms
  The first generation of micro-organisms has a population of 13500 members. Each next generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation.
• 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.