Advertisements
Advertisements
Question
The population of a city is 1, 25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of the city after 3 years.
Advertisements
Solution
Vn =?; V0 = 1,25,000 ; r = 5.5 % (birth) and 3.5 % (death) ; t = 3 years
`"V"_"n" = "V"_0 (1 + "r"/100)^"t"`
`"V"_"n" = 125000 (1 + 5.5/100)^3 (1 - 3.5/100)^3`
Vn = 1,25,000 x 10.55 x 10.55 x 10.55 x 9.65 x 9.65 x 9.65
Vn = 1,25,000 x 1174.241 x 898.6321
Vn = 1,32,651
The population in 2007 is 1,32,651
RELATED QUESTIONS
Find the difference between the compound interest and the simple interest in 2 years on Rs 5,000 at 8% p.a. compounded annually.
Anand borrows Rs 20,000at 9 % p.a. simple interest for 3 years. He immediately gave it to Prakash at `8 1/2 %` p.a. compound interest compounded annually.
Find Anand's loss or gain.
Calculate the amount and the compound interest for the following:
Rs 20,000 for 2 years if the rates of interest are `12 1/4` and `5 1/2` for the successive years.
Find the difference between the compound interest compounded yearly and half-yearly for the following:
Rs 20,000 for `1 1/2` years at 16 % p.a.
In a factory the production of scooters rose to 46,305 from 40,000 in 3 years. Find the annual rate of growth of the production of scooters.
A machine was purchased 2 years ago. Its value decreases by 10% every year. Its present value is Rs 19,083.60. For how much money was the machine purchased?
A new car is purchased for Rs 4, 00,000 .Its value depreciates at the rate of 10% per annum. What will be its value after 4 years?
The value of the refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9,680. For how much was it purchased?
A building worth Rs 1, 33,100 is constructed on a plot of land worth Rs 72,900. After how many years will the values of both be same, if the land appreciates at 10% p.a. and the building depreciates at 10% p.a.?
The cost of a T.V. was quoted Rs 17,000 at the beginning of the year 1999. In the beginning of 2000 the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What is the cost of the T.V. in 2001?
