To calculate the total interest earned from Rose's savings at the bank, we will use the formula for simple interest. Here is a step-by-step explanation:
1. Identify the principal amount (P), which is the initial amount of money saved. In this case, the principal is \[tex]$10,000.
2. Determine the annual interest rate (R). The interest rate given is 6.5%. To use it in the formula, we need to convert it to a decimal by dividing by 100. Therefore, the rate is 6.5 / 100 = 0.065.
3. Identify the time period (T) for which the money is invested. Here, the time is 10 years.
4. Use the formula for calculating simple interest:
\[
\text{Interest} (I) = P \times R \times T
\]
Substituting the values into the formula:
\[
I = 10,000 \times 0.065 \times 10
\]
Simplifying the multiplication:
\[
I = 10,000 \times 0.065 = 650
\]
\[
I = 650 \times 10 = 6,500
\]
Thus, the total interest earned after 10 years is \$[/tex]6,500.
So, the correct answer is:
B. $6,500
