Respuesta :

Compound Interest = [tex]P(1+\frac{r}{100} )^{n}[/tex]

where P - Principal

           r - rate of interest

           n - number of years

So, for 5 years, at 6% rate of interest, for the principal 12,000, the compount interest will be

[tex]CI = 12000(1+\frac{6}{100} )^{5}[/tex]

[tex]= 12000(\frac{106}{100} )^{5}[/tex]

[tex]= 12000(1.06)^{5}[/tex]

[tex]= 12000(2) approximately[/tex]

= 24000

Amount = Principal + C.I.

              = 12000 + 24000

              = 36000

Hence, after 5 years, the amount will be $36,000 approximately.