Question

Mr. Johnson borrowed $8,000 for 4 years to make home improvements at a 5.5% simple interest rate. What is the total amount he will have to repay at the end of 4 years?

A) $8,000
B) $9,800
C) $10,400
D) $11,200

Answer 1

Mr. Johnson will have to repay a total amount of $9,760, which consists of the original $8,000 borrowed plus $1,760 in simple interest after 4 years. The closest option provided is $9,800.

Step-by-step explanation:

Mr. Johnson borrowed $8,000 for 4 years to make home improvements at a 5.5% simple interest rate. To calculate the total amount he will have to repay at the end of the 4 years, we can use the formula for simple interest: Interest = Principal × Rate × Time. In this case, the Principal (P) is $8,000, the Rate (r) is 5.5% or 0.055 when written as a decimal, and the Time (t) is 4 years.

The calculation for the interest will be:

Interest = $8,000 × 0.055 × 4

Interest = $1,760

The total amount to be repaid is the sum of the principal and the interest. So, Mr. Johnson will repay:

Total Amount = Principal + Interest

Total Amount = $8,000 + $1,760 = $9,760

Thus, the closest option to the calculated amount is B) $9,800, which is likely a slight rounding error or typo in the options provided.