Answer
$\approx112.65$
Work Step by Step
In $A(t)=P(1+\frac{r}{n})^{nt}$ for compound interest, $P,r,n,t$ respectively stand for the principal, interest rate per year, the number of times the interest is compounded per year and the number of years. $A(t)$ is the amount after $t$ years. So if we invest $P=100$ pounds at an interest rate of $r=0.06$ compounded quarterly ($n=4$), the amount after $t=2$ years is:
$A(t)=100(1+\frac{0.06}{4})^{4(2)}\approx112.65$