Find the saving balance after 25 years with APR 3.5% and monthly payments of $400

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find the saving balance after 25 years with APR 3.5% and monthly payments of $400 

### Annuity Future Value Formula

To calculate the future value of an annuity, use the following formula:

\[ 
A = PMT \times \left(\frac{\left(1 + \frac{APR}{n}\right)^{ny} - 1}{\frac{APR}{n}}\right) 
\]

#### Variables:
- **A**: Future value of the annuity
- **PMT**: Periodic payment amount
- **APR**: Annual interest rate (as a decimal)
- **n**: Number of compounding periods per year
- **y**: Number of years

#### Explanation:
This formula is used to determine how much money you will have in the future after making regular payments at a fixed interval, assuming a certain annual percentage rate and compounding frequency. It factors in the compounded interest over time and reflects growth from both the individual contributions and accumulated interest.
Transcribed Image Text:### Annuity Future Value Formula To calculate the future value of an annuity, use the following formula: \[ A = PMT \times \left(\frac{\left(1 + \frac{APR}{n}\right)^{ny} - 1}{\frac{APR}{n}}\right) \] #### Variables: - **A**: Future value of the annuity - **PMT**: Periodic payment amount - **APR**: Annual interest rate (as a decimal) - **n**: Number of compounding periods per year - **y**: Number of years #### Explanation: This formula is used to determine how much money you will have in the future after making regular payments at a fixed interval, assuming a certain annual percentage rate and compounding frequency. It factors in the compounded interest over time and reflects growth from both the individual contributions and accumulated interest.
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