Home
Class 12
MATHS
In a bank, principal increases continuou...

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

Text Solution

Verified by Experts

The correct Answer is:
` t = 20 log_(e)2`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXAMPLES|5 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE - 9.1|12 Videos

  • DETERMINANTS

    NCERT GUJARATI|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

  • INTEGRALS

    NCERT GUJARATI|Exercise EXERCISE 7.12|41 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) .

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)

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?

Parsec is how many light year?

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.

NCERT GUJARATI-DIFFERENTIAL EQUATIONS-MISCELLANEOUS EXERCISE
  1. In a bank, principal increases continuously at the rate of 5% per yea...

    Text Solution

    |

  2. For each of the differential equations given below, indicate its order...

    Text Solution

    |

  3. For each of the exercises given below, verify that the given function...

    Text Solution

    |

  4. Form the differential equation representing the family of curves give...

    Text Solution

    |

  5. Prove the x^(2) - y^(2) = c (x^(2) + y^(2))^(2) is the general solutio...

    Text Solution

    |

  6. Form the differential equation of the family of circles in the first q...

    Text Solution

    |

  7. Find the general solution of the differential equation (dy)/(dx) + sqr...

    Text Solution

    |

  8. Show that the general solution of the differential equation (dy)/(dx) ...

    Text Solution

    |

  9. Find the equation of the curve passing through the point (0, (pi)/(4))...

    Text Solution

    |

  10. Find the particular solution of the differential equation (1 + e^(2x)...

    Text Solution

    |

  11. Solve the differential equation y e^(x/y) dx = (x e^(x/y) + y^(2))dy (...

    Text Solution

    |

  12. Find a particular solution of the differential equation (x - y)(dx + d...

    Text Solution

    |

  13. Solve the differential equation [(e^(-2sqrtx))/(sqrtx) - (y)/(sqrtx)](...

    Text Solution

    |

  14. Find a particular solution of the differential equation (dy)/(dx) + y...

    Text Solution

    |

  15. Find a particular solution of the differential equation (x + 1)(dy)/(d...

    Text Solution

    |

  16. The population of a village increases continuously at the rate propor...

    Text Solution

    |

  17. The general solution of the differential equation (y dx - x dy)/(y ) =...

    Text Solution

    |

  18. The general solution of a differential equation of the type (dy)/(dx)...

    Text Solution

    |

  19. The general solution of the differential equation e^(x) dy + (y e^(x) ...

    Text Solution

    |