Last year, Teresa opened an investment account with 

$7800

. At the end of the year, the amount in the account had decreased by 

7%

.

(a)

Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal.

Year-end=amount×Originalamount

(b)

Use your answer in part (a) to determine the year-end amount in Teresa's account.

Year-endamount:$


Let's tackle this step by step:

### Part (a)
Teresa's account decreased by 7% over the year, meaning she kept 93% of the original amount (since 100% - 7% = 93%).

In decimal form, 93% is written as $0.93$.

Thus, the year-end amount in terms of the original amount can be expressed as:

\[
\text{Year-end amount} = 0.93 \times \text{Original amount}
\]

### Part (b)
Now, let's use the formula from part (a) to calculate the year-end amount in Teresa's account.

The original amount is $7800, so:

\[
\text{Year-end amount} = 0.93 \times 7800 = 7254
\]

Thus, the year-end amount in Teresa's account is:

\[
\boxed{\$7254}
\]

Would you like more details or have any questions?

Here are five related questions for further practice:
1. If Teresa's account had increased by 7% instead of decreasing, what would the year-end amount be?
2. How much money did Teresa lose in the account over the year?
3. If Teresa wants to recover the loss in the following year, what percentage increase does she need to restore the balance to $7800?
4. If Teresa had initially invested $10,000 instead of $7800, what would the year-end amount be with a 7% decrease?
5. If the account decreases by another 7% the next year, what would the balance be after two years?

**Tip:** To convert a percentage decrease into a decimal, subtract the percentage from 100% and then divide by 100.

Last year, Teresa opened an investment account with $7800. At the end of the year, the amount in the account had decreased by 7%. (a) Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal. Year-end = amount × Original amount (b) Use your answer in part (a) to determine the year-end amount in Teresa's account. Year-end amount: $

Learn how to calculate the year-end amount of an investment after a 7% decrease. Starting with an initial amount of $7800, follow step-by-step instructions to apply percentage decrease formulas and find the year-end balance of $7254. Suitable for middle school students learning percentages and basic algebra.

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