Interest = $ 1200 \times 0.05 \times 3 = 180 \, \textdollars $

Understanding the Interest Formula: $ 1200 \ imes 0.05 \ imes 3 = 180\ \ ext{Dollars} $

When calculating simple interest, the basic formula is:

\[
\ ext{Interest} = P \ imes r \ imes t
\]

Understanding the Context

Where:
- $ P $ = principal amount (initial sum of money)
- $ r $ = annual interest rate (in decimal form)
- $ t $ = time the money is invested or borrowed (in years)

Let’s break down the example: $ 1200 \ imes 0.05 \ imes 3 = 180 $ dollars.

How the Calculation Works

Principal ($ P $): In this case, the starting amount is $1,200.
- Interest Rate ($ r $): A 5% annual rate is converted to decimal form as $ 0.05 $.
- Time ($ t $): The money is invested or loaned over 3 years.

$Solved You deposit $1200 in an account with 3\% annual | Chegg.com$

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$Solved You deposit $1200 in an account with 3\% annual | Chegg.com$

interest =200 K×.12×121=2k dep exp =90 K÷36=2,500For | Chegg.com

Solved: Sam invests £1200 at a simple interest rate of 5.5% per annum ...

Solved Find the value of $1200 deposited in a bank at 9% | Chegg.com

Solved 1 point) If 1200 dollars is invested at an annual | Chegg.com

Key Insights

Plugging these values into the formula:

\[
180 = 1200 \ imes 0.05 \ imes 3
\]

First, multiply the rate by time:
$ 0.05 \ imes 3 = 0.15 $.

Then, multiply by the principal:
$ 1200 \ imes 0.15 = 180 $.

So, the total interest earned (or paid) after 3 years is $180.

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Final Thoughts

Why This Formula Matters

Understanding this formula helps you forecast savings growth, budget loans, or compare investment opportunities. Simple interest is straightforward and commonly used in short-term financing, savings accounts, and loans with fixed rates.

Real-World Application Example

Suppose you invest $1,200 at a 5% annual interest rate for 3 years. Using $ 1200 \ imes 0.05 \ imes 3 = 180 $, you’ll earn $180 in interest, meaning your total amount after 3 years will be $1,380.

This calculation empowers smart financial decisions—whether saving for a goal or evaluating debt options.

Summary

The equation $ 1200 \ imes 0.05 \ imes 3 = 180 $ encapsulates a classic application of simple interest. By multiplying principal, rate, and time, you efficiently compute earnings over a fixed period—an essential skill in personal finance and business planning.

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Meta Description: Learn how $ 1200 \ imes 0.05 \ imes 3 = 180 $ represents simple interest calculation—understanding how principal, rate, and time determine your money growth or debt over years.