Final answer:
The balance after 2 years for a $5,000 loan with 13% interest will be $6,300.
Step-by-step explanation:
To calculate the balance after 2 years for a $5,000 loan with 13% interest, we can use the formula for calculating simple interest:
Simple Interest = Principal × Interest Rate × Time
Plugging in the values, we have:
Principal = $5,000
Interest Rate = 13% = 0.13
Time = 2 years
Substituting these values into the formula, we get:
Simple Interest = $5,000 × 0.13 × 2 = $1,300
Therefore, the balance after 2 years will be the original loan amount plus the simple interest:
Balance = $5,000 + $1,300 = $6,300