Math Problem Statement

How much interest is earned on a CD with a 2-year fixed maturity, if the initial investment is $660 and the annual interest rate is 3.4%?

Solution

To calculate the interest earned on a CD (Certificate of Deposit) with a fixed maturity, you can use the formula for simple interest:

Interest=Principal×Rate×Time\text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time}

In this case:

  • Principal (P) = $660
  • Annual Interest Rate (R) = 3.4% = 0.034
  • Time (T) = 2 years

Plugging in the values:

Interest=660×0.034×2\text{Interest} = 660 \times 0.034 \times 2

Calculating step-by-step:

  1. 660×0.034=22.44660 \times 0.034 = 22.44
  2. 22.44×2=44.8822.44 \times 2 = 44.88

So, the interest earned over 2 years is approximately $44.88.

Would you like more details on this calculation or have any questions?


Here are five related questions to explore further:

  1. How does compound interest differ from simple interest?
  2. What would the interest be if the rate was compounded annually?
  3. How much would the investment total be after 2 years with the interest included?
  4. How does the interest change if the term is extended to 3 years?
  5. What is the formula for calculating interest with a different compounding period?

Tip: For longer-term investments, understanding the effect of compound interest can be valuable as it typically yields higher returns than simple interest.

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Percentage

Formulas

Simple Interest = Principal × Rate × Time

Theorems

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Suitable Grade Level

Grades 7-9