Respuesta :
The equation for the final amount if the ineterst is compounded quarterly is,
[tex]\begin{gathered} A=P(1+\frac{R}{n})^{nT} \\ \text{Here, P is the principal, R is the rate, n is the }number\text{ of times the interest is compounded,} \\ T\text{ is the }time. \end{gathered}[/tex]Since interest is compounded quarterly, the number of times n=4.
Also, P=200, R=12%, T=6
Substitute the values in equation.
[tex]\begin{gathered} A=200(1+\frac{12}{4\times100})^{4\times6} \\ =200(1+\frac{12}{400})^{24} \\ =406.56 \end{gathered}[/tex]406.56 will be in the account after 6years.
