Respuesta :

Answer:

It will take 146 days to earn an interest of $80.

Step-by-step explanation:

The simple interest formula is:

[tex]I=\frac{P\times r\times t}{100}[/tex]

It is provided that:

I = $80

P = $4,000

r = 5% p.a.

Compute the time required as follows:

[tex]I=\frac{P\times r\times t}{100}[/tex]

[tex]t=\frac{I\times 100}{P\times r}[/tex]

  [tex]=\frac{80\times 100}{4000\times 5}\\\\=0.4\ \years\\\\=0.4\times 365\ days\\\\=146\ days[/tex]

Thus, it will take 146 days to earn an interest of $80.