You take out a $1200 loan for 2 years at a rate of 7% per year. In total, how much will you pay back?

• $1269
O $1284
• $1368
О $1373
• None of these.

1 answer

To calculate the total amount to be paid back on a loan, you can use the formula for calculating the total amount with simple interest:

\[ \text{Total Amount} = \text{Principal} + \text{Interest} \]

Where:

  • Principal is the initial amount borrowed (loan amount).
  • Interest is calculated as:

\[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \]

Given:

  • Principal = $1200
  • Rate = 7% per year = 0.07 (as a decimal)
  • Time = 2 years

Now, calculating the interest:

\[ \text{Interest} = 1200 \times 0.07 \times 2 \] \[ \text{Interest} = 1200 \times 0.14 \] \[ \text{Interest} = 168 \]

Now, add the interest to the principal to find the total amount to be paid back:

\[ \text{Total Amount} = 1200 + 168 = 1368 \]

So, the total amount that you will pay back is $1368.

The correct answer is $1368.