https://file.aiquickdraw.com/mathbot/file/172963116446684muh6v4.jpg

To solve this problem, we need to use the formula for simple interest:

\[
A = P(1 + rt)
\]

Where:
- $ A $ is the amount in the account after interest.
- $ P $ is the principal amount (initial deposit), which is $750.
- $ r $ is the annual interest rate (as a decimal), which is 9%, or 0.09.
- $ t $ is the time in years, which is 6 - 1 = 5 years (since we are calculating from year 1 to year 6).

Now, plugging the values into the formula:

\[
A = 750 \times (1 + 0.09 \times 5)
\]
\[
A = 750 \times (1 + 0.45)
\]
\[
A = 750 \times 1.45
\]
\[
A = 1087.50
\]

So, the amount in the account in year 6 is **$1087.50**, which corresponds to option **D**.

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the difference between simple and compound interest?
2. How would the result change if the interest were compounded annually?
3. How can you calculate the total interest earned after 6 years?
4. What happens if the interest rate changes every year?
5. How would the calculation change if the time period was shortened to 3 years?

**Tip:** In simple interest calculations, interest is calculated only on the principal amount, not on the accumulated interest.

An account pays 9% per year simple interest. In year 1, the amount in the account is $750. How much is in the account in year 6?

Learn how to calculate the amount in an account after 6 years of simple interest at 9% per year. This problem covers the use of the simple interest formula A = P(1 + rt) and is suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation