Math Problem Statement

Find the amount of interest for a 16-year investment of $6500 at a simple annual rate of 2.40%.

State your answer in terms of dollars rounded to the nearest cent, but do not include a $ sign or the word "dollars" with your response.

Find the amount of interest for a 16-year investment of $6500 at a simple annual rate of 2.40%.

State your answer in terms of dollars rounded to the nearest cent, but do not include a $ sign or the word "dollars" with your response.

Solution

To find the amount of interest for a 16-year investment using simple interest, we use the formula:

I=P×r×tI = P \times r \times t

where:

  • II is the interest,
  • PP is the principal (initial investment),
  • rr is the annual interest rate (in decimal form),
  • tt is the time in years.

Given:

  • P=6500P = 6500,
  • r=2.40%=0.024r = 2.40\% = 0.024,
  • t=16t = 16 years.

Substitute the values into the formula:

I=6500×0.024×16I = 6500 \times 0.024 \times 16

Now, let's calculate the interest.The amount of interest for the 16-year investment is 2496.00.

Would you like more details or have any further questions?

Here are 5 related questions to deepen your understanding:

  1. How would the interest change if the investment period was 20 years instead of 16?
  2. What would the interest be if the annual rate was 3%?
  3. How is simple interest different from compound interest?
  4. How can you calculate the total amount (principal + interest) at the end of the investment period?
  5. If the principal was $7000 instead of $6500, how much interest would be earned over 16 years?

Tip: Always express percentages as decimals when using them in calculations (e.g., 2.4% becomes 0.024).

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Percentage
Algebra

Formulas

I = P × r × t (Simple Interest Formula)

Theorems

Simple Interest Theorem

Suitable Grade Level

Grades 9-12