# Population

The town has 65,000 inhabitants. 40 years ago there were 157,000. How many people will live in town in 10 years if the average rate in population is as in previous years?

Result

x =  52139
=:  0

#### Solution:

$n_1 = n_2 \cdot q^{ 40} \ \\ \ln n_1 = \ln n_2 + 40 \cdot \ln q \ \\ \ \\ \ln q = \dfrac{ \ln 65 - \ln 157 }{ 40 } \ \\ \ \\ \ln q = -0.022046463386317 \ \\ q = e^{ -0.022046463386317} = 0.97819478375318 \ \\ p = -2.18 \ \% \ \\ \ \\ x = 65 000 \cdot q^{ 10} = 65 000 \cdot 0.97819478375318^{ 10} \ \\ x = 52139$

= 0

Calculated by our linear equations calculator.

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...):

Be the first to comment!

Tips to related online calculators
Do you want to convert time units like minutes to seconds?

## Next similar math problems:

1. Mary
Mary is 12 years old, which is 40% of the age of her mother. How many percent of her mother's age will Mary have after the next 12 years?
2. An investment
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.
3. The crime
The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2025.
4. Drilling machine
A manufacturing firm purchased a heavy duty drilling machine. They were given two payment options: Option 1: Make a payment of $46,000 immediately to settle the invoice for the machine. Option 2: Make a payment of$21,500 immediately and the balance of
5. Break time
Calculate how many percent of school time is spent on breaks. Calculate data for the whole week.
6. Two companies
The family ordered two companies to modify the garden. The first would be done in 20 days, the second would take 40% less time. How long will they work together if the second company started working when the first worked for 4 days?
7. Curiosity factor
A blogger starts a new website, initially the number of the traffic is 293 due to their curiosity factor. The business owner estimated that the traffic will increase by 2,6% per week. What will be the number of it in week 5?.
8. Shuyen
Shuyen wanted to save some money. She deposited Php.300 in a bank which pays 0.5% interest per annum. After nine months, she needed the money to buy some gifts. How much will she be able to get if he withdraws all her money from the bank?
9. Deposit is pesos
Sally deposits Php.22,000 in her savings account. If the bank pays 1.5% interest per year, how much will she receive at the end of the year?
10. Earnings per share
The table below shows the stock price, earnings per share, and dividends per share for three companies for a recent year: Deere &Co. Price $65.70 earnings per share$4.40 Dividends per share $1.16 Google price$528.33 earnings per share $27.72 Dividends. 11. Harvest time Grandma and granddaughter Julka reap currants in 15 hours of working together. Julka herself would have currants 10 days after 6 hours of work a day. Find by what percentage the grandma's harvest time was shortened when the granddaughter was involved in c 12. Car down Sarah buys a car costing$12,500. It depreciates in value by 8% in the first year, 10% the second year and 5% in the third year. Calculate the value of a car after the third year.
13. Helmet
Nowadays cycling better results could be obtained not only due to rider physical preparation but also thanks to using updated technologies. One of the essential parts of the rider´s equipment is his or her helmet. While most bikers wear a helmet mainly t
14. A man 2
A man divides \$10,000 into two investments, one at 10% and the other at 30%. Find how much is invested at each rate so that the two investments produce the same income annually.
15. Monica
Monica left Php.900 to Bianca. When monica asked for it after 6 months, Bianca decided to give Php.945 instead because she was able to use the money. What interest rate on Monica's money was used by bianca?
16. Fix + percentages
Mrs. Vargas is a car sales agent who earns Php.5,850 monthly plus a 4% commision on all her sales. During a month, she sold a car worth Php.740,000. How much is her total earnings?
17. Loan 4
Mr santos borrowed Php.18,000 at 1.5% interest for one year. What was the total amount he paid for the end of the 1-year term?