Final answer:
William will earn $25 in interest after 6 months on his $5,000 savings with a 1% annual interest rate using simple interest calculation.
Step-by-step explanation:
To calculate the amount of interest William will earn in 6 months on his savings with a 1% annual interest rate, we can use the formula for simple interest:
I = P × r × t
Where:
I = Interest earned
P = Principal amount (the initial amount of money)
r = Annual interest rate (as a decimal)
t = Time the money is invested or borrowed for, in years
William's initial investment (P) is $5,000. Since the interest rate is 1% annually, we convert that to a decimal by dividing by 100, which gives us 0.01. For six months, the time (t) is 0.5 years (6 months = 6/12 years = 0.5 years).
Now, we can apply the values to the formula:
I = $5,000 × 0.01 × 0.5 = $25
Thus, William will earn $25 in interest after 6 months.