Sure, let's go through the problem step-by-step.
First, we need to calculate the simple interest. The formula for calculating simple interest is given by:
[tex]\[ I = P \times R \times T \][/tex]
where:
- [tex]\( I \)[/tex] is the simple interest,
- [tex]\( P \)[/tex] is the principal amount (the initial amount of money borrowed),
- [tex]\( R \)[/tex] is the annual simple interest rate (expressed as a decimal),
- [tex]\( T \)[/tex] is the time the money is borrowed for, in years.
Given:
- Principal amount, [tex]\( P \)[/tex] = [tex]$2000,
- Annual interest rate, \( R \) = 7% = 0.07 (as a decimal),
- Time period, \( T \) = 3 years.
Using these given values in the formula, we get:
\[
I = 2000 \times 0.07 \times 3
\]
Thus, the interest \( I \) earned will be:
\[
I = 2000 \times 0.07 \times 3 = 420.0
\]
So, the interest Rebecca and Chris earned is $[/tex]420.