Given Data:
The initial amount is, P = 1000
The rate of interest is, r = 13% = 0.13
The compounding is done quarterly, so n = 4
The duration is, t = 2
Applying the formula to calculate compound interest, we have,
![\begin{gathered} A=P(1+(r)/(n))^(nt) \\ A=1000(1+(0.13)/(4))^8=1291.577 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/itl1c0sn40zf82w7jdfgo9658k9cr7dvm0.png)
Thus, they will be able to spend 1291.577 after two years.