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The problem states that Bob opened an investment account with $8600, and by the end of the year, the account had increased by 22%. 

To find the amount in the account at the end of the year, we calculate the increase and add it to the original amount.

### Step-by-step calculation:
1. **Initial amount**: $8600
2. **Percentage increase**: 22%

The formula for the new amount is:

\[
\text{New amount} = \text{Initial amount} \times \left(1 + \frac{\text{Percentage increase}}{100}\right)
\]

Substituting the values:

\[
\text{New amount} = 8600 \times \left(1 + \frac{22}{100}\right) = 8600 \times 1.22
\]

Let me calculate that.The amount in Bob's investment account at the end of the year is **$10,492**.

Would you like more details or have any questions about this?

Here are five related questions to expand on this concept:
1. How would the result change if the percentage increase was 30% instead of 22%?
2. What if Bob had withdrawn $500 from the account halfway through the year—how would that affect the total?
3. Can you calculate the percentage decrease needed for the account to return to the initial value of $8600?
4. How much would the account grow in 5 years with the same 22% annual increase?
5. What is the formula to calculate the future value of an investment with compound interest?

**Tip:** Always remember to convert percentage increases or decreases to decimals before applying them in calculations.

Last year, Bob opened an investment account with $8600. At the end of the year, the amount in the account had increased by 22%.

Learn how to calculate the amount in Bob's investment account after a 22% increase from an initial $8600. This problem covers basic percentage increase calculations and algebraic concepts. Suitable for students in Grades 6-8.

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