Math Problem Statement

A bank offering 3.5% simple interest on savings account. If you deposit 10,555 how much interest will you earn in 2 years?

Solution

The formula for simple interest is:

I=P×r×tI = P \times r \times t

Where:

  • II is the interest earned,
  • PP is the principal amount (initial deposit),
  • rr is the annual interest rate (expressed as a decimal),
  • tt is the time in years.

Here:

  • P=10,555P = 10,555,
  • r=3.5%=0.035r = 3.5\% = 0.035,
  • t=2t = 2 years.

Now we can calculate the interest:

I=10,555×0.035×2I = 10,555 \times 0.035 \times 2

Let me calculate this for you.The interest earned on a deposit of $10,555 at a 3.5% simple interest rate over 2 years is $738.85.

Would you like more details on how this works or have any other questions?

Here are 5 related questions for further exploration:

  1. How does simple interest compare to compound interest over time?
  2. What would the total amount in the account be after 2 years, including the interest?
  3. How would the interest change if the rate was 5% instead of 3.5%?
  4. What happens if the deposit is left in the account for 5 years instead of 2?
  5. How does inflation affect the real value of interest earned?

Tip: For long-term savings, compound interest is often more beneficial than simple interest!

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Percentage
Multiplication

Formulas

Simple Interest Formula: I = P × r × t

Theorems

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Suitable Grade Level

Grades 5-7