Final answer:
Abed will earn $11.25 in interest at the end of six months on his $750 savings account with an annual interest rate of 3%.
Step-by-step explanation:
The question asked is how to calculate the interest earned on a savings account balance over a period of six months at an annual interest rate. Since the stated annual interest rate is 3%, we need to halve this rate to calculate the interest for the six-month period. To find the interest earned by Abed over six months, you can use the following formula:
I = P × R × T
Where:
- I = Interest earned
- P = Principal amount (initial amount of money)
- R = Annual interest rate (as a decimal)
- T = Time (in years)
For Abed's case:
- P = $750
- R = 3% per year or 0.03 expressed as a decimal
- T = 0.5 years (since we're only calculating for 6 months)
Now plugging the values into the formula:
I = $750 × 0.03 × 0.5
I = $750 × 0.015
I = $11.25
Thus, Abed will earn $11.25 in interest at the end of six months if he does not withdraw or deposit any money.