Math Problem Statement

Calculate the simple interest earned. Round to the nearest cent.

P = $9060, r = 4.75%, t = 8 months

Solution

To calculate simple interest, we use the formula:

Interest=P×r×t\text{Interest} = P \times r \times t

where:

  • P=9060P = 9060 (principal),
  • r=4.75%=0.0475r = 4.75\% = 0.0475 (annual interest rate),
  • t=812=230.6667t = \frac{8}{12} = \frac{2}{3} \approx 0.6667 years (since time must be in years for this formula).

Now, substitute these values:

Interest=9060×0.0475×0.6667\text{Interest} = 9060 \times 0.0475 \times 0.6667

Calculating step-by-step:

  1. 9060×0.0475=430.359060 \times 0.0475 = 430.35
  2. 430.35×0.6667286.89430.35 \times 0.6667 \approx 286.89

So, the simple interest earned is approximately $286.89.

Would you like more details or have any questions?

Related Questions

  1. How does simple interest differ from compound interest?
  2. What if the time period were given in days instead of months?
  3. How would the answer change if the interest rate was compounded monthly?
  4. How is the formula adjusted for continuous compounding?
  5. How do annual and effective interest rates differ in simple interest?

Tip: Simple interest grows linearly over time, making it easier to calculate compared to compound interest.

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Interest Calculation
Percentage
Time Conversion

Formulas

Simple Interest Formula: Interest = P × r × t

Theorems

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Suitable Grade Level

Grades 7-9