Question

Last year, Rita opened an investment account with $8400 . At the end of the year, the amount in the account had decreased by 28.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?
Decrease in amount:

Year-end amount:

Answer 1

To find the decrease in dollars and the year-end amount in Rita's investment account, we can follow these steps:

1. **Calculate the decrease in amount**:
\[
\text{Decrease} = \text{Initial amount} \times \text{Percentage decrease}
\]
Here, the initial amount is $8400 and the percentage decrease is 28.5% (or 0.285 in decimal).

\[
\text{Decrease} = 8400 \times 0.285 = 2394
\]

2. **Calculate the year-end amount**:
\[
\text{Year-end amount} = \text{Initial amount} - \text{Decrease}
\]
\[
\text{Year-end amount} = 8400 - 2394 = 6006
\]

### Final Results:
- Decrease in amount: **$2394**
- Year-end amount: **$6006**