To calculate how much will be in the account after 17 years, we can use the formula for compound interest:

$A = P(1 + \frac{r}{n})^{nt}$

Where:

• $A$ is the amount in the account after time $t$.
• $P$ is the principal amount (initial investment), which is $9000.
• $r$ is the annual interest rate (8%, or 0.08 as a decimal).
• $n$ is the number of times the interest is compounded per year.
• $t$ is the number of years the money is invested or borrowed for (17 years in this case).

If we assume the interest is compounded annually ($n = 1$), the formula simplifies to:

$A = P(1 + r)^t$

Substituting the values into the formula:

$A = 9000(1 + 0.08)^{17}$

Now let's calculate this.The amount in the account after 17 years will be approximately $33,300.16, to the nearest cent.

Would you like further details or have any questions? Here are some related questions for further exploration:

1. How would the final amount change if the interest was compounded quarterly instead of annually?
2. What if the interest rate was 6% instead of 8%?
3. How much interest would be earned after 17 years?
4. How long would it take for the investment to double at 8% interest?
5. How would the final amount change if $9000 was added to the account annually?

Tip: Always check if the interest is compounded annually, quarterly, or monthly to avoid errors in calculations!