Karla invests  
$
10
,
000
  into an account with a  
2.2
%
  interest that is compounded annually.

How much money will she have in this account if she keeps it for  
5
  years? Round your answer to the nearest cent and do not include the dollar sign. Do not round at any other point in the solving process; only round your answer. 

To find how much Karla will have in her account after 5 years, we use the compound interest formula:

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

Where:
- $ A $ is the amount of money in the account after interest,
- $ P $ is the principal (the initial amount),
- $ r $ is the annual interest rate (expressed as a decimal),
- $ n $ is the number of times the interest is compounded per year, and
- $ t $ is the time the money is invested for, in years.

In this case:
- $ P = 10,000 $,
- $ r = 0.022 $ (2.2% as a decimal),
- $ n = 1 $ (since the interest is compounded annually),
- $ t = 5 $ years.

Now we plug these values into the formula:

\[
A = 10,000 \times \left(1 + \frac{0.022}{1}\right)^{1 \times 5}
\]

\[
A = 10,000 \times (1.022)^5
\]

Now, let's calculate this step-by-step:

\[
A = 10,000 \times 1.114486
\]

\[
A = 11,144.86
\]

So, after 5 years, Karla will have **11,144.86** in her account.

Would you like more details on the calculations or any further clarification?

---

Here are 5 related questions you might find interesting:
1. What if the interest was compounded quarterly instead of annually?
2. How would the final amount change if the interest rate was 3% instead of 2.2%?
3. What happens if Karla withdraws some money each year? How would that affect the calculation?
4. How long would it take for the amount to double at 2.2% annual interest?
5. What would the future value be if she added $1,000 to her investment every year?

**Tip:** Always make sure to convert percentages to decimals when using them in formulas.

Karla invests $10,000 into an account with a 2.2% interest that is compounded annually. How much money will she have in this account if she keeps it for 5 years? Round your answer to the nearest cent and do not include the dollar sign. Do not round at any other point in the solving process; only round your answer.

Find out how much Karla's $10,000 investment grows with a 2.2% annual interest rate compounded annually over 5 years. This detailed breakdown includes the compound interest formula and step-by-step calculations. Suitable for Grades 10-12 students looking to understand exponential growth in finance.

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