euler - Famous mathematician who developed Euler's constant
Eulers Formula for Planar GeometryFree Eulers Formula for Planar Geometry Calculator - This calculator solves for any one of the 3 following items using Eulers Formula for planar geometry:
* Vertices (v)
* Faces (f)
* Edges (e)
Eulers Totient (φ)Free Eulers Totient (φ) Calculator - Given a positive integer (n), this calculates Euler's totient, also known as φ
Logarithms and Natural Logarithms and Eulers Constant (e)Free Logarithms and Natural Logarithms and Eulers Constant (e) Calculator - This calculator does the following:
* Takes the Natural Log base e of a number x Ln(x) → logex
* Raises e to a power of y, ey
* Performs the change of base rule on logb(x)
* Solves equations in the form bcx = d where b, c, and d are constants and x is any variable a-z
* Solves equations in the form cedx=b where b, c, and d are constants, e is Eulers Constant = 2.71828182846, and x is any variable a-z
* Exponential form to logarithmic form for expressions such as 53 = 125 to logarithmic form
* Logarithmic form to exponential form for expressions such as Log5125 = 3
Mathematical Constants and IdentitiesFree Mathematical Constants and Identities Calculator - Calculates and explains various mathematical constants such as:
* Gelfonds (Gelfond's) Constant
* Eulers Constant
What is the annual nominal rate compounded daily for a bond that has an annual yield of 5.4%? RoundWhat is the annual nominal rate compounded daily for a bond that has an annual yield of 5.4%? Round to three decimal places. Use a 365 day year.
[U]Set up the accumulation equation:[/U]
(1+i)^365 = 1.054
[U]Take the natural log of each side[/U]
365 * Ln(1 + i) = 1.054
Ln(1 + i) = 0.000144089
[U]Use each side as a exponent to eulers constant e[/U]
(1 + i) = e^0.000144089
1 + i = 1.000144099
i = 0.000144099 or [B].0144099%[/B]