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

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

Text Solution

Verified by Experts

The correct Answer is:
`6.93%`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT TELUGU|Exercise EXERCISE - 9.5|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TELUGU|Exercise EXERCISE - 9.6|19 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TELUGU|Exercise EXERCISE - 9.3|12 Videos

  • DETERMINANTS

    NCERT TELUGU|Exercise Miscellaneous Exercises on Chapter 4|17 Videos

  • INTEGRALS

    NCERT TELUGU|Exercise EXERCISE 7.12|43 Videos

Similar Questions

Explore conceptually related problems

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

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^((1)/(2)) = 1.648)

The side of a cube increases at a uniform rate of 0.05cm per sec. Find the rate of increase in (a) the volume (b) the surface area when the side is 10 cm.

The income of a person is Rs. 3,00,000, in the first year and he receives an increase of Rs.10,000 to his income per year for the next 19 years. Find the total amount, he received in 20 years.

In a population, per capita birth rate is 0.05 and per capita death rate is 0.03 during a unit time period. What is the value of intrinsic rate of natural increase ('r') for the given population?

The population of a village is 6250. It is found that the rate of increase in population is 8% per annum. Find the population after 2 years.

NCERT TELUGU-DIFFERENTIAL EQUATIONS-EXERCISE - 9.4
  1. The general solution of tanysec^(2) x dx + tan x sec^(2) y dy = 0 is

    Text Solution

    |

  2. (e^(x) + e^(-x))dy - (e^(x) - e^(-x)) dx = 0

    Text Solution

    |

  3. find the general solution for the differential equation(dy)/(dx) = (1 ...

    Text Solution

    |

  4. find the general solutions for the differential equationy log y dx - x...

    Text Solution

    |

  5. find the general solutions for the differential equationx^(5)(dy)/(dx)...

    Text Solution

    |

  6. (dy)/(dx) = sin^(-1)x

    Text Solution

    |

  7. The solution of e^(x) tan y dx + (1- e^(x)) sec^(2) y dy = 0 is

    Text Solution

    |

  8. For each of the differential equations in Exercises 11 to 14, find a p...

    Text Solution

    |

  9. x(x^(2) - 1)(dy)/(dx) = 1, y = 0 when x = 2.

    Text Solution

    |

  10. cos ((dy)/(dx)) = a (a ne R), y = 1 when x = 0

    Text Solution

    |

  11. (dy)/(dx) = y tan x, y = 1 when x = 0

    Text Solution

    |

  12. Find the equation of a curve passing through the point (0,0) and whose...

    Text Solution

    |

  13. For the differential equation xy(dy)/(dx) = (x + 2)( y + 2), find the ...

    Text Solution

    |

  14. Find the equation of a curve passing through the point (0, -2) given t...

    Text Solution

    |

  15. At any point (x,y) of a curve, the slope of the tangent is twice the s...

    Text Solution

    |

  16. The volume of spherical ballon being inflated changes at a constant ra...

    Text Solution

    |

  17. In a bank, principal increases continuously at the rate of r% per yeat...

    Text Solution

    |

  18. In a bank, principal increases continuously at the rate of 5% per yea...

    Text Solution

    |

  19. In a culture, the bacteria count is 1,00,000. The number is increased ...

    Text Solution

    |

  20. The general solution of the differential equation (dy)/(dx) = e^(x + y...

    Text Solution

    |