Home
Class 12
MATHS
The population of a city increases at th...

The population of a city increases at the rate `3%` per year. If at time t the population of city is p, then find equation of p in time t.

A

`p=3e^((3t)/(100)`

B

`p=e^((3t)/(100))`

C

`p="ce"^((3t)/(100))`

D

`p=(3)/(100)e^(3t)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The population of a village increases continuously at the rate proportional to the number of its inhabitants present at any time.If the population of the village was 20,000 in 1999 and 25000 in the year 2004, what will be the population of the village in 2009?

A country has a food deficit of 10% . Its population grows continuously at a rate of 3% per year. Its annual food production every year is 4% more than that of the last year. Assuming that the average food requirement per person remains constant, prove that the country will become self-sufficient in food after n years, where n is the smallest integer bigger than or equal to (ln10-ln9)/(ln(1.04)-0.03)

In a bank, principal increases continuously at the rate of 5% per year.In how many years Rs 1000 double itself?

The position x of a particle varies with time t as x=at^(2)-bt^(3) . The acceleration at time t of the particle will be equal to zero, where (t) is equal to .

The side of a square is increasing at ther rate of 0.2 cm//s . The rate of increase of perimeter w.r.t. time is :

The side of a square is increasing at the rate of 0.2 cm/s. The rate of increase of perimeter w.r.t time is :

The time period of a simple pendulum in a stationary train is T. The time period of a mass attached to a spring is also T. The train accelerates at the rate 5 m//s^(2) . If the new time periods of the pendulum and spring be T_(P) and T_(S) respectively, then :-

A radioactive nucleus X decay to a nucleus Y with a decay with a decay Concept lambda _(x) = 0.1s^(-1) , gamma further decay to a stable nucleus Z with a decay constant lambda_(y) = 1//30 s^(-1) initialy, there are only X nuclei and their number is N_(0) = 10^(20) . Set up the rate equations for the population of X , Y and Z The population of Y nucleus as a function of time is given by N_(y) (1) = N_(0) lambda_(x)l(lambda_(x) - lambda_(y))( (exp(- lambda_(y)t)) Find the time at which N_(y) is maximum and determine the populations X and Z at that instant.

The oscillation of a body on a smooth horizontal surface is represented by the equation x= A cos omega t where x = displacement at time t, omega= frequency of oscillation. Which of the following graphs shows the corrects variation of acceleration 'a' with time 't'.