Final answer:
The total amount in the savings account after 15 years is $6,500, which is obtained by adding the simple interest ($1,500) calculated using the formula I = PRT at a 2% rate over 15 years, to the original $5,000 principal.
Step-by-step explanation:
To find the total amount in the savings account after 15 years, we need to calculate the simple interest and then add it to the original principal of $5,000. The formula for simple interest is I = PRT, where I represents the interest, P is the principal amount, R is the rate of interest per year, and T is the time in years.
To calculate the simple interest earned in 15 years:
I = $5,000 × 0.02 × 15 = $1,500
Now, add the interest to the initial principal:
Total Amount = Principal + Interest
Total Amount = $5,000 + $1,500 = $6,500
Therefore, the correct answer is (b) $6,000.