Answer
$6.3\%$
Work Step by Step
In the formula for compound interest with
let $P=\$500$
$t=14$
$m=4$
$A=\$1200$
we have $A=P(1+\frac{r}{m})^{tm}$
$1200=500(1+\frac{r}{4})^{14(4)}$
$(1+\frac{r}{4})^{56}=\frac{12}{5}$
$r\approx0.063\approx6.3\%$