Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202021 Sep 2020Morning ShiftMathematicsApplication of DerivativesActual

In a bank, the principal increases continuously at the rate of (6 % ) per year. Then the time required to double (₹ 6000 ) rupees is (in years)

Options

  1. A( 50 3 2 )
  2. B( 50 3 6 )
  3. C( 50 3 3 )
  4. D( 50 3 12 )

Correct answer

A. ( 50 3 2 )

Step-by-step solution

According to given information, let the principal (P=₹ 6000 ) getting double in time ' (t ) ' with rate of (6 % ) per year, so ( d P d t = 6 100 P ₆₀₀₀¹²⁰⁰⁰ d p P = 3 50 ₀^t d t ) ( array ll & [ P]₆₀₀₀¹²⁰⁰⁰= 3 50 t & 12000- 6000= 3 50 t & 2= 3 50 t t= 50 3 2 array ) Hence, option (a) is correct.

Practice Application of Derivatives on Quantrex Academy →

More from Application of Derivatives

Consider the quadratic equation a x^2+b x+c=0 , where 2 a+3 b+6 c=0 and let g(x)= a x^3 3 + b x^2 2 +c x . Statement-I : The given quadratic equation ax ^2+ bx + c =0 has at least 2025The difference between the absolute maximum and absolute minimum values of the function f(x)=2 x^3-15 x^2+36 x-30 on [-1,4] is 2025If f(x)=x e^ x(1-x) , x R , then f(x) is 2025The angle between the curves y ^2= x and x ^2= y at the point (1,1) is 2025If the tangent of the curve 4 y^3=3 a x^2+x^3 drawn at the point (a, a) forms a triangle of area 25 24 sq.units with the coordinate axes then a = 2025If the function f(x)= x- ^2 x is defined on the interval [- , ] , then f is strictly increasing in the interval 2025If the Lagrange's mean value theorem is applied to the function f(x)=e^x defined on the interval [1,2] and the value of c (1,2) is k , then e^ k-1 = 2025If the tangent to the curve x y+a x+b y=0 at (1,1) makes an angle Tan ⁻¹ 2 with X -axis, then ab a + b = 2025 Full Application of Derivatives list All AP EAMCET PYQs