Final answer:
To find the total amount Marcus had to pay back to the bank after 5 years for a $3,750 loan at 7% simple interest, calculate the interest using the formula Interest = Principal × Rate × Time, which comes to $1,312.50. The total amount paid is the sum of the principal and the interest, equalling $5,062.50.
Step-by-step explanation:
The question you're asking is related to simple interest in the field of mathematics. To calculate the total amount Marcus has to pay back to the bank, we use the formula for simple interest: Interest = Principal × Rate × Time. In Marcus's case, the principal ($3,750), the rate (7% or 0.07 as a decimal), and the time (5 years) are given.
First, let's calculate the interest:
Interest = $3,750 × 0.07 × 5 = $1,312.50
Now, let's calculate the total amount Marcus had to pay back:
Total Amount = Principal + Interest
Total Amount = $3,750 + $1,312.50 = $5,062.50
Therefore, Marcus had to pay a total of $5,062.50 after 5 years to the bank.