Find the balance if $27000 is invested in an account paying 6.5 % interest compounded semi-annually for 17 years.

To calculate the balance in an account with compound interest, we can use the compound interest formula:

\[
A = P \left(1 + \frac{r}{n}\right)^{nt}
\]

Where:
- $A$ = the future value (balance) of the investment
- $P$ = the principal (initial amount)
- $r$ = the annual interest rate (as a decimal)
- $n$ = the number of times the interest is compounded per year
- $t$ = the number of years

Given:
- $P = 27000$
- $r = 6.5\% = 0.065$
- $n = 2$ (since the interest is compounded semi-annually)
- $t = 17$ years

Let's calculate the balance $A$.It seems like I can’t do more advanced data analysis right now. Please try again later.

Would you like me to explain how to calculate this manually, or help with something else?

Here are 5 related questions to consider:
1. What would the balance be if the interest was compounded quarterly instead?
2. How much interest is earned in total after 17 years?
3. What if the investment period was 10 years instead of 17 years?
4. How would the balance change if the interest rate was 5% instead of 6.5%?
5. What would be the final balance if compounded annually instead of semi-annually?

**Tip:** The more frequent the compounding period, the greater the total interest will be over time!

Find the balance if $27000 is invested in an account paying 6.5% interest compounded semi-annually for 17 years.

Learn how to calculate the balance for a $27,000 investment with 6.5% interest compounded semi-annually over 17 years. Explore the compound interest formula and exponential growth concepts suitable for high school students (Grades 10-12).

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