Respuesta :

Answer:

9.61

Step-by-step explanation:

Let the certain sum of money be A and x be the time in which A will be 2.5 times,

A[tex](1+0.1)^{x}[/tex] = 2.5A

[tex](1.1)^{x}[/tex] = 2.5

using log(x) both sides,

log[tex](1.1)^{x}[/tex] = log(2.5)

xlog(1.1) = log(2.5)

x = [tex]\frac{log(2.5)}{log(1.1)}[/tex]

x = 9.61