Sure, let's fill in the table step-by-step with detailed explanations.
1. Calculate the interest rate for each investment:
For each amount invested, we calculate the interest rate using the formula:
[tex]\[
\text{Interest rate} = \left(\frac{\text{Interest}}{\text{Amount}}\right) \times 100
\][/tex]
2. Step-by-step calculations:
a. For an amount invested of 100 Rands:
[tex]\[
\text{Interest rate} = \left(\frac{10}{100}\right) \times 100 = 10\%
\][/tex]
b. For an amount invested of 200 Rands:
[tex]\[
\text{Interest rate} = \left(\frac{20}{200}\right) \times 100 = 10\%
\][/tex]
c. For an amount invested of 300 Rands:
[tex]\[
\text{Interest rate} = \left(\frac{30}{300}\right) \times 100 = 10\%
\][/tex]
d. For an amount invested of 400 Rands:
[tex]\[
\text{Interest rate} = \left(\frac{41}{400}\right) \times 100 = 10.25\%
\][/tex]
e. For an amount invested of 500 Rands:
[tex]\[
\text{Interest rate} = \left(\frac{50}{500}\right) \times 100 = 10\%
\][/tex]
3. Fill in the table:
[tex]\[
\begin{array}{|l|c|c|c|c|c|}
\hline
\text{Amount invested (in Rands)} & 100 & 200 & 300 & 400 & 500 \\
\hline
\text{Interest earned (in Rands)} & 10 & 20 & 30 & 41 & 50 \\
\hline
\text{Interest rate} \left(= \left(\frac{\text{Interest}}{\text{Amount}}\right) \times 100\right) & 10\% & 10\% & 10\% & 10.25\% & 10\% \\
\hline
\end{array}
\][/tex]
This completes the table by calculating the interest rate for each amount invested.
