High School

Zeke is calculating the interest earned on a deposit of [tex]\$5,200[/tex] in an account that earns [tex]3.15\%[/tex] simple interest after 48 months.

\[
\begin{array}{c}
I = P \times r \times t \\
I = 5,200 \times 0.0315 \times \frac{48}{12} \\
I = 655.20
\end{array}
\]

Zeke finds the interest earned to be [tex]\$655.20[/tex].

Answer :

To calculate the simple interest earned on a deposit, we use the formula for simple interest:

[tex]\[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \][/tex]

Let's break down the steps:

1. Principal Amount (P): This is the initial amount of money deposited, which is \[tex]$5,200.

2. Rate of Interest (R): The rate is given as 3.15%. To use this in the formula, we need to convert it into a decimal by dividing by 100. So, 3.15% becomes 0.0315.

3. Time (T): The time period must be in years. We're given 48 months, which is equal to 48/12 = 4 years.

Now, we can calculate the simple interest:

\[ \text{Interest} = 5,200 \times 0.0315 \times 4 \]

Calculating this, the interest earned is \$[/tex]655.20.

Therefore, the interest Zeke earns from the deposit after 48 months in the account is \$655.20.