Solution :
It is given that :
Amount of investment or the principle amount , P = $ 100
Time of investment , t = 6 years
Rate of interest compounded annually r = 6 %
Therefore the future amount of this investment in a 6 year time is given by,
[tex]$FV=P(1+\frac{r}{100})^t[/tex]
[tex]$FV=100(1+\frac{6}{100})^6[/tex]
[tex]$FV=100(1+0.06)^6[/tex]
[tex]$FV= 100 (1.4185)$[/tex]
[tex]$FV=141$[/tex]
Therefore, after 6 years the investment of $ 100 will give an amount of $ 141.