Wagner Olson
09/27/2023 · Elementary School
Determine the simple interest on an account paying \( 6.5 \% \) annually interest of an investment of \( \$ 5,250 \). \( \begin{array}{ll}\text { a. } \$ 341.25 & \text { c. } \$ 345.02 \\ \text { b. } \$ 343.08 & \text { d. } \$ 347.96\end{array} \)
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Step-by-step Solution
To determine the simple interest on an account, you can use the formula:
\[ \text{Simple Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \]
In this case, the principal is \( \$ 5,250 \), the annual interest rate is \( 6.5\% \), and the time is 1 year since it's an annual interest rate. The rate needs to be converted to a decimal for the calculation, so \( 6.5\% \) becomes \( 0.065 \).
Let's calculate the simple interest:
\[ \text{Simple Interest} = \$ 5,250 \times 0.065 \times 1 \]
\[ \text{Simple Interest} = \$ 5,250 \times 0.065 \]
\[ \text{Simple Interest} = \$ 341.25 \]
So, the simple interest on the account is \( \$ 341.25 \), which corresponds to option (a).
Quick Answer
The simple interest is \( \$ 341.25 \).
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