Question $3$: $10$ Marks

Suppose that a banker wants to code a system to calculate the compound interest. To build this model we consider the principal amount $P$ that is invested for a term of $n$ years, with an annual interest rate that grows at $A=P(1+\frac{r}{n}{)}^{nt}.$ The banker wants to know the final balance for the investments of R$890,$ R$1150,$ R$4000,$ R$7000,$ and R$15000$ in his portfolio over $12$ years with interest rate of $11\mathrm{.}75\%$ compounded quarterly. Write a GNU Octave code that impliments and solves the above problem.