En el post de hoy vamos a resolver un problema típico de economía, se trata del siguiente:
In today's post we are going to solve a typical economics problem, it is the following:
Una compañía necesita saber cuanto capital debe invertir a una tasa de interés del 4% en 0,5 años para obtener un monto superior a $478125.
A company needs to know how much capital it must invest at an interest rate of 4% in 0.5 years to obtain an amount greater than $478125.
Solución:/// Solution:
Sabemos que el monto S se calcula sumando el capital C más el interés I, esto es: S=C+I, donde I es igual a capital por tasa de interés i por el tiempo t de la operación, es decir: I=C.i.t
We know that the amount S is calculated by adding the capital C plus the interest I, that is: S=C+I, where I is equal to capital times interest rate i times time t of the operation, that is: I=C.i.t
De tal forma que: Such that:
S= C + C.i.t=C(1+i.t)
Como se quiere que S sea superior a $478125, entonces planteamos la siguiente desigualdad:// Since we want S to be greater than $478125, then we state the following inequality:
C(1+i.t)>478125
Sustituimos los valores correspondientes y resolvemos la desigualdad.///We substitute the corresponding values and solve the inequality.
478125<C(1+0.04x0.5)
478125<C(1+0.02)
478125<C(1.02)
Luego: / Then: C>478125/1.02
Es decir: / That is to say: C> 468750
El resultado indica que para obtener un monto superior a $478125 a una tasa de 4% en medio año, se deberá invertir un capital superior a 468750 dólares.
The result indicates that in order to obtain an amount greater than $478125 at a rate of 4% in half a year, a capital greater than $468750 must be invested.
Buenos amigos, hasta aquí el post de hoy, espero que sea de su agrado y utilidad.///Good friends, this is the end of today's post, I hope you enjoy it and find it useful.
Nota//Note
Este post es totalmente original de la autora, la imagen se hizo con la ayuda de PowerPoint./// This post is entirely original from the author, the image was made with the help of PowerPoint
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