¿A cuánto ascienden los intereses ganados por un capital que invertido durante 5 meses y 15 días al 3,5% de interés simple trimestral alcanzó un monto de $25.000?
Respuestas
Respuesta:
$1507,4
Explicación paso a paso:
i = c.r.t
donde
i = interes = ?
c = capital = ?
r = redito = 3,5% trimestral
t = tiempo = 5 meses y 15 días = 5 m + 1/2 m = 11/2 m = 11/6 trimestres
M = i + c (interes + capital) = = 25 000
---
M = i + c
reemplazamos i = c.r.t
M = c.r.t + c
factorizamos c
25 000 = c(r.t + 1)
reemplazamos datos
25 000 = c((3,5/100).(11/6) + 1 )
resolvemos
25 000 = c(38,5 /600 + 1 )
25 000 = c(38,5 /600 + 1 )
25 000 = c.(1,064167)
25 000/1,064167 = c
c = 23492,6
el capital es $23492,6
----
hallamos el interes
i = c.r.t
i = (23492,6).(3,5/100).(11/6)
i = 904465,1/600
i = 1507,4
el interes es $1507,4
Respuesta:
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Explicación paso a paso: