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Multiple Choice
What is the total interest due at maturity on a $1,500, 12\% annual interest rate, 120-day note? (Assume a 360-day year and simple interest.)
A
$60
B
$48
C
$72
D
$120
Verified step by step guidance
1
Step 1: Understand the formula for calculating simple interest, which is: \( I = P \times r \times t \), where \( I \) is the interest, \( P \) is the principal amount, \( r \) is the annual interest rate, and \( t \) is the time period expressed in years.
Step 2: Identify the values given in the problem: \( P = 1500 \), \( r = 12\% \) (or 0.12 as a decimal), and \( t \) is 120 days. Since the problem assumes a 360-day year, convert \( t \) into years by dividing 120 by 360.
Step 3: Substitute the values into the formula: \( I = 1500 \times 0.12 \times \frac{120}{360} \). Perform the division \( \frac{120}{360} \) to determine the time period in years.
Step 4: Multiply the principal \( P \) by the annual interest rate \( r \), and then multiply the result by the time period in years to calculate the total interest due.
Step 5: Compare the calculated interest to the provided answer choices ($60, $48, $72, $120) to determine the correct answer.