What is the monthly interest payment for an account with a balance of $100.00 and an A.P.R. of 18%? A. $18.00 C. $8.33 B. $5.56 D. $1.50

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Monthly Interest Payment Calculation

#### Problem Statement:
"What is the monthly interest payment for an account with a balance of $100.00 and an A.P.R. of 18%?"

#### Answer Choices:
- A: $18.00
- B: $5.56
- C: $8.33
- D: $1.50

#### Explanation:
To calculate the monthly interest payment, follow these steps:

1. **Annual Percentage Rate (A.P.R.)** is given as 18%.
2. Convert the A.P.R. to a monthly interest rate by dividing by 12 (since there are 12 months in a year):
   \[
   \text{Monthly Interest Rate} = \frac{\text{A.P.R.}}{12} = \frac{18\%}{12} = 1.5\%
   \]
   
3. Apply the monthly interest rate to the account balance ($100.00):
   \[
   \text{Monthly Interest Payment} = \text{Account Balance} \times \text{Monthly Interest Rate}
   \]
   \[
   \text{Monthly Interest Payment} = 100.00 \times 0.015 = \$1.50
   \]

Therefore, the correct answer is:
- D: $1.50

(Note: There is no graphical representation or diagram associated with this problem in the provided image.)
Transcribed Image Text:### Monthly Interest Payment Calculation #### Problem Statement: "What is the monthly interest payment for an account with a balance of $100.00 and an A.P.R. of 18%?" #### Answer Choices: - A: $18.00 - B: $5.56 - C: $8.33 - D: $1.50 #### Explanation: To calculate the monthly interest payment, follow these steps: 1. **Annual Percentage Rate (A.P.R.)** is given as 18%. 2. Convert the A.P.R. to a monthly interest rate by dividing by 12 (since there are 12 months in a year): \[ \text{Monthly Interest Rate} = \frac{\text{A.P.R.}}{12} = \frac{18\%}{12} = 1.5\% \] 3. Apply the monthly interest rate to the account balance ($100.00): \[ \text{Monthly Interest Payment} = \text{Account Balance} \times \text{Monthly Interest Rate} \] \[ \text{Monthly Interest Payment} = 100.00 \times 0.015 = \$1.50 \] Therefore, the correct answer is: - D: $1.50 (Note: There is no graphical representation or diagram associated with this problem in the provided image.)
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