Step 1: Write the formula to be used
For a sum compounded annually

Step 2: Find the rates for each bank
Super save
![\begin{gathered} 1173.34=1000(1+r)^6 \\ (1+r)^6=(1173.34)/(1000)=1.117334 \\ (1+r)^6=1.117334 \\ 1+r=\sqrt[6]{1.117334} \\ 1+r=1.01866 \\ r=1.01866-1 \\ r=0.01866 \\ r=1.867\text{ \%} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/h6cos69zm9iwtverkc3i6esuptupx598nv.png)
For star Financial
![\begin{gathered} 2684.35=2500(1+r)^3 \\ (1+r)^3=(2684.35)/(3500)=1.07374 \\ (1+r)=\sqrt[3]{1.07374} \\ 1+r=1.02400 \\ r=1.02400-1=0.02400 \\ r=2.4\text{ \%} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/gt3v4vxci51bd2k0trmnxsgociht70fj65.png)
For Better Bank
![\begin{gathered} 4525.63=4000(1+r)^5 \\ (1+r)^5=(4525.63)/(4000) \\ (1+r)^5=1.1314 \\ 1+r=\sqrt[5]{1.1314} \\ 1+r=1.025 \\ r=1.025-1 \\ r=0.025 \\ r=2.5\text{ \%} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/dc3idbr3cubsu0xxku1jt5gdagkt2eqp0c.png)
Based on the interest rates, Better Bank has the highest interest rate
For the Better Bank,
The rates,
r= 2.5%
P=$5000
where n is less than or equal to 10 years
We will use the equation

To plot the graph
