Question
The formula
models the growth of an
investment due to continuously compounded interest.
What does
stand for?
A the number of years since the initial investment
B the amount after
years
C the initial amount invested
D the interest rate
investment due to continuously compounded interest.
What does
A the number of years since the initial investment
B the amount after
C the initial amount invested
D the interest rate
Ask by Wade Johnson. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
In the formula
:
-
represents the amount of money after time . - 12,000 is the initial investment (principal).
- 0.04 is the annual interest rate (4%).
-
stands for the time the money is invested or grows.
Therefore,
represents the number of years since the initial investment.
Answer: A the number of years since the initial investment
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
Absolutely! The variable
in the formula represents the number of years since the initial investment was made. When you plug in values for
, you can see how much your investment grows over time! It’s like watching a little seed sprout and grow into a tree in your financial garden!
Additionally, continuously compounded interest is a powerful concept that expresses how money can grow exponentially over time. Unlike traditional compounding, where interest is calculated at specific intervals, continuous compounding allows your investment to earn interest on interest seamlessly – hence, your money starts working faster! So, it’s crucial to understand how time impacts your wealth-building journey!