What is

What is the annual percentage increase in the city when the population has tripled in 20 years?

Result

p =  5.647 %

Solution:

t=20 q=3  q=(1+p/100)t  p=100 (q1/t1)=100 (3201)5.64675.647%t=20 \ \\ q=3 \ \\ \ \\ q=(1+p/100)^t \ \\ \ \\ p=100 \cdot \ (q^{ 1/t }-1)=100 \cdot \ (\sqrt[20]{ 3 }-1) \doteq 5.6467 \doteq 5.647 \%



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you want to convert time units like minutes to seconds?

Next similar math problems:

  1. Researchers
    house Researchers ask 200 families whether or not they were the homeowner and how many cars they had. Their response was homeowner: 14 no car or one car, two or more cars 86, not homeowner: 38 no car or one car, two or more cars 62. What percent of the families
  2. Radioactivity
    radioactivity After 548 hours decreases the activity of a radioactive substance to 1/9 of the initial value. What is the half-life of the substance?
  3. Powers 3
    exp_4 2 to the power of n divided by 4 to the power of -3 equal 4. What is the vaule of n?
  4. Log
    log if ?, what is b?
  5. The city 3
    city_2 The city has 22,000 residents. How long it is expected to have 25,000 residents if the average annual population growth is 1.4%?
  6. Simple interest 3
    coins-uk_1 Find the simple interest if 11928 USD at 2% for 10 weeks.
  7. An investment
    exp_growth2 How long will it take for an investment to double at a simple interest rate of 5.10% p. A. ? Express the answer in years and months, rounded up to the next month.
  8. Calculation
    pocty How much is sum of square root of six and the square root of 225?
  9. Water lilies
    lekno_2 Water lilies are growing on the pond and their number is doubled every day. The whole layer is covered in 12 days. How many days will it cover 8 layers?
  10. Power
    power Number ?. Find the value of x.
  11. Exponential equation
    exp In the set R solve the equation: ?
  12. Exponential equation
    exp Find x, if 625 ^ x = 5 The equation is exponential because the unknown is in the exponential power of 625
  13. Five element
    sequence_geo The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S6 = 63. Find the fifth element a5.
  14. Geometric sequence 3
    sequence In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q and n - number of members by their sum s_n.
  15. Geometric progression
    exp_1 In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217.
  16. Exp
    old_calculator If ?, then n is:
  17. Geometric sequence
    cralici In the geometric sequence is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q.