Final answer:
The amount to be paid back after three years on a $3,000 credit card loan with a 15% interest rate compounded daily is $3,003.70.
Step-by-step explanation:
To determine the amount to be paid back after three years on a $3,000 credit card loan with an interest rate of 15% compounded daily, we can use the formula for compound interest:
Final Amount = Principal * (1 + (Rate / 365))^n
Final Amount = $3,000 * (1 + (0.15 / 365))^3
Final Amount = $3,000 * (1 + 0.00041095890410958904)^3
Final Amount = $3,000 * 1.0012335197745937
Final Amount = $3,003.70
Therefore, the amount to be paid back after three years on a $3,000 credit card loan with a 15% interest rate compounded daily is $3,003.70.