https://file.aiquickdraw.com/mathbot/file/1730233165728rkjicz9w.jpg

Let's solve the problem step by step.

### (a) Year-end amount as a decimal in terms of the original amount:
- The account's value decreased by **6%**.  
- If 6% is lost, **94%** of the original amount remains (100% - 6% = 94%).  
- As a decimal, 94% = **0.94**.

Thus, the equation for the year-end amount is:  
\[
\text{Year-end amount} = 0.94 \times \text{Original amount}
\]

### (b) Calculate the year-end amount:
- The **original amount** is **$7600**.  
- Using the formula from part (a):  
\[
\text{Year-end amount} = 0.94 \times 7600
\]
\[
\text{Year-end amount} = 7144
\]

So, the year-end amount in Henry's account is **$7144**.

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Do you have any further questions or need more clarification?  

### 5 Related Questions:
1. What would the year-end amount be if the account decreased by 10% instead of 6%?
2. How do you express an increase in value as a decimal multiplier?
3. If the account decreases by 6% each year for 3 years, what would the final amount be?
4. What percentage decrease would result in a final value of $7000?
5. How would the calculation change if the original amount were $8500?

### Tip:
When working with percentages, always convert them to decimal form by dividing by 100 to use in multiplication.

Last year, Henry opened an investment account with $7600. At the end of the year, the amount in the account had decreased by 6%. (a) Fill in the blank to write the year-end amount in terms of the original amount. (b) Use your answer in part (a) to determine the year-end amount in Henry's account.

Learn how to calculate the year-end amount in an investment account that decreases by 6%. This example involves finding the decimal multiplier and applying basic arithmetic to solve. Suitable for Grades 7-8.

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