Final answer:
To compute the simple interest, the formula I = prt is applied. For Pat's $500 invested at 4% for 3 years, the interest is calculated as I = $500 × 0.04 × 3, which equals $60.
Step-by-step explanation:
To calculate the simple interest that Pat will earn, we can use the formula I = prt, where I is the interest, p is the principal amount, r is the annual interest rate (in decimal form), and t is the time in years. For Pat's investment:
- Principal (p): $500
- Rate (r): 4% or 0.04 (since 4% = 4/100 = 0.04)
- Time (t): 3 years
Now, we apply these values to the formula:
I = prt = $500 × 0.04 × 3
Calculating this gives us:
I = $500 × 0.12 = $60
Therefore, Pat will earn $60 in simple interest after 3 years.