Final answer:
The simple interest rate that Jeff paid on the $600 loan from his brother is 5% per year. This was calculated using the simple interest formula with the given values for interest paid, principal amount, and time period.
Step-by-step explanation:
To calculate the simple interest rate that Jeff paid, we can use the formula for simple interest, which is I = P * r * t, where I is the interest paid, P is the principal amount borrowed, r is the rate of interest per period, and t is the time the money is borrowed for.
Jeff repaid $150 in interest on a $600 loan over 5 years. Using the formula for simple interest:
- I = $150 (Interest Paid)
- P = $600 (Principal Amount)
- t = 5 years (Time Period)
We need to find the rate r. This can be done by rearranging the formula to solve for r:
r = I / (P * t)
By plugging the values in:
r = $150 / ($600 * 5)
r = $150 / $3000
r = 0.05
Therefore, the interest rate r is 0.05, or 5% per year.