Question

since \\(\ln e = 1\\), we can simplify.\\(\ln\left(\frac{2843.82}{2000}\
ight) = 8r\\)divide both sides by 8.\\(\frac{\ln\left(\frac{2843.82}{2000}\
ight)}{8} = r\\)\\(r \approx 0.044\\)part: 4 / 5part 5 of 5therefore, the interest rate is approximately \\(\square\\%\\).

Explanation:

Step1: Recall the relationship between decimal and percentage

To convert a decimal to a percentage, we multiply the decimal by 100. The formula is: \(\text{Percentage} = \text{Decimal} \times 100\).

Step2: Apply the formula to \(r\)

We know that \(r \approx 0.044\). To find the percentage, we calculate \(0.044\times100\).
\(0.044\times100 = 4.4\)

Answer:

4.4