Home
Class 12
MATHS
In a bank, principle p increases continu...

In a bank, principle p increases continuously at the rate of 5% per year. Find the principal in terms of time t.

Answer

Step by step text solution for In a bank, principle p increases continuously at the rate of 5% per year. Find the principal in terms of time t. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    OSWAAL PUBLICATION|Exercise HOMOGENEOUS DIFFERENTIAL EQUATIONS (Long Answer Type Questions - III)|8 Videos

  • DIFFERENTIAL EQUATIONS

    OSWAAL PUBLICATION|Exercise LINEAR DIFFERENTIAL EQUATIONS (Long Answer Type Questions - I)|23 Videos

  • DETERMINANTS

    OSWAAL PUBLICATION|Exercise TOPIC-2 SOLUTIONS OF SYSTEM OF LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS -II )|24 Videos

  • II PUC (ANNUAL EXAMINATION 2019)

    OSWAAL PUBLICATION|Exercise PART - E|4 Videos

Similar Questions

Explore conceptually related problems

In a bank, principal increases continuously at the rate of r% per year.Find the value of r if Rs 100 double itself in 10 years (log_(e)2 = 0.6931) .

In a bank, principal increases continuously at the rate of 5% per year. An amount of Rs 1000 is deposited with this bank, how much will it worth after 10 years (e^(0.5) = 1.648) .

Knowledge Check

  • A population grows at the rate of 5% per year. How long does it take for the population to double.

    A
    10. log 2 years
    B
    20. log 2 years
    C
    30. log 2 years
    D
    40.log 2 years

  • The period T and length l are increasing at the same rate is T = 2pi sqrt(l//g) . Then the length l in terms of pi and g is

    A
    `pi//g`
    B
    `pi g`
    C
    `pig^(2)`
    D
    `pi^(2) // g`

  • An edge of a variable cube is increasing at the rate of 10 cm per second. Then the volume of the cube is increasing when the edge is 5 cm long, at the rate

    A
    `650 (cm)^(3)/sec`
    B
    `550 (cm)^(3)/sec`
    C
    `750 (cm)^(3)/sec`
    D
    `900 (cm)^(3)/sec`

    • Similar Questions

    Explore conceptually related problems

    In a bank, principal increases continuously at the rate of 20% per year.In how many years Rs 1000 double itself?

    In a laboratory,the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour.Find the bacteria at the end of 2 hours if the count was initially 5,06,000.

    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?

    The population of a place increased to 54,000 in 2003 at a rate of 5% per annum.(i)Find the population in 2001. (ii)What would be its population in 2005?

    The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When x = 8cm and y = 6cm, find the rates of change of (a) the perimeter, and (b) the area of the rectangle.

    Home
    Profile