Calculate Interest Rate Given Principal and Final Balance
Calculate Interest Rate Given Principal and Final Balance is a skill on Pengi from Lesson 3-5: Solve Simple Interest Problems in Reveal Math, Accelerated.
Key Concepts
Property To find the simple interest rate ($r$) when given the principal ($P$) and the final balance ($A$) for one period, first calculate the total interest ($I$), and then divide by the principal: $$I = A P$$ $$r = \frac{I}{P}$$.
Examples A savings account starts with a principal of 500 dollars and has a final balance of 525 dollars after one year. The interest is $525 500 = 25$ dollars. The interest rate is $\frac{25}{500} = 0.05$, or $5\%$. A loan has a principal of 1200 dollars and a total repayment (final balance) of 1272 dollars. The interest paid is $1272 1200 = 72$ dollars. The interest rate is $\frac{72}{1200} = 0.06$, or $6\%$.
Explanation When you know both the starting amount and the final balance, you can figure out the interest rate in two simple steps. First, subtract the principal from the final balance to determine the actual amount of interest earned or paid. Next, divide that interest amount by the principal to find the rate as a decimal. Finally, multiply by $100$ to express that decimal as a percentage.
Common Questions
What is Calculate Interest Rate Given Principal and Final Balance?
Calculate Interest Rate Given Principal and Final Balance is a skill on Pengi from Lesson 3-5: Solve Simple Interest Problems in Reveal Math, Accelerated.
What grade level is Calculate Interest Rate Given Principal and Final Balance for?
Calculate Interest Rate Given Principal and Final Balance is part of the Grade 7 Math curriculum, covered in Reveal Math, Accelerated. It is designed for students studying Math at the Grade 7 level.
How can I learn Calculate Interest Rate Given Principal and Final Balance?
Pengi offers an AI-guided lesson for Calculate Interest Rate Given Principal and Final Balance that walks you through the key concepts step by step. The lesson is aligned to Reveal Math, Accelerated so the content matches what you see in class.
How do I practice Calculate Interest Rate Given Principal and Final Balance?
After learning the concept, use the Practice mode to work through targeted exercises on Calculate Interest Rate Given Principal and Final Balance. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Calculate Interest Rate Given Principal and Final Balance?
Calculate Interest Rate Given Principal and Final Balance is covered in Reveal Math, Accelerated, specifically in Unit 3: Solve Problems Involving Percentages under Lesson 3-5: Solve Simple Interest Problems. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Calculate Interest Rate Given Principal and Final Balance free to study on Pengi?
Yes, the core Learn and Practice modes for Calculate Interest Rate Given Principal and Final Balance are available for free on Pengi. No credit card is required to start studying.