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  1. (a) Obviously, r ≥ 0. (b) We know that  2π r ^2 + 16π r = A  and we can solve for...  2π ( r ^2 + 8r + 16) - 32π = A [completing the square]  2π ( r + 4)^2 = A + 32π  ( r + 4)^2 = (A/(2π)) + 16 [dividing each side...

    1 Answers · Science & Mathematics · 12/01/2021

  2. ... equation for the volume of a cylinder is: V = πr²h we have r and h so all that's left is to substitute and simplify: V = π(14...

    3 Answers · Science & Mathematics · 20/01/2021

  3. dV/dt = 9 V = (pi/3) * r ^2 * h h = (3/8) * d = (3/8) * 2r = (3/4) * r V = (pi/3) * r ^2 * (3/4) * r ...64) * dr/dt 1 = (3 * 49 * pi / 64) * dr/dt 64 / (147 * pi) = dr/dt V = (pi/3) * r ^2 * h h = (3/4) * r (4/3) * h = r V = (pi/3) * (4/3)^2 * h^2 * h V...

    2 Answers · Science & Mathematics · 15/01/2021

  4. B(t) = B(0) x (1 + r )ᵗ Here, B(0) is the initial balance, r is the...

    2 Answers · Science & Mathematics · 13/01/2021

  5.   The volume, V, of a sphere in terms of its radius, r , is given by    V( r ) = 4/3π r ^3.    Express r as...

    3 Answers · Science & Mathematics · 06/01/2021

  6. V= (4/3)π r ^3 r ^3= 3V/(4π) r (V)= [3V/(4π)]^(1/3) r (150)= 3.30 ft

    1 Answers · Science & Mathematics · 07/01/2021

  7. ... similar triangles so that we can establish a relationship between r and h at any point in time. h/ r = 4/50 or 25h = 2r or r = (25/2)h Now we...

    1 Answers · Science & Mathematics · 15/01/2021

  8. The formula is: FV = P(1 + r )^t FV : Future value P : original principal (500) r : annual interest...

    1 Answers · Science & Mathematics · 10/01/2021

  9. ... equation you need for this problem is: M = Pr / [ 1 - (1 + r )^(-n)] Where: M = monthly payment (unknown) P = principal amount (150000...

    3 Answers · Science & Mathematics · 13/01/2021

  10. ...usage, rest and remainder can have the same meaning.  In math,  r would be called the remainder, not rest. You can't prove...

    2 Answers · Science & Mathematics · 18/01/2021

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