Ralph deposited $910 in an account that pays 1.75% simple interest, for three years.
a. How much interest did the account earn? 
b. What is the ending balance? 
c. How much interest did the account earn the first year? 
d. How much interest did the account earn the third year? 

To solve this, we'll use the simple interest formula:

\[
I = P \times r \times t
\]

Where:
- $ I $ = interest earned
- $ P $ = principal (initial amount)
- $ r $ = annual interest rate (as a decimal)
- $ t $ = time in years

### a. How much interest did the account earn over 3 years?
Given:
- $ P = 910 $ (initial deposit)
- $ r = 1.75\% = 0.0175 $
- $ t = 3 $ years

Using the formula:

\[
I = 910 \times 0.0175 \times 3 = 47.775
\]

The account earned **$47.78** in interest over 3 years.

### b. What is the ending balance?
To find the ending balance, we add the interest to the initial deposit:

\[
\text{Ending balance} = P + I = 910 + 47.78 = 957.78
\]

The ending balance is **$957.78**.

### c. How much interest did the account earn the first year?
For the first year ($ t = 1 $):

\[
I = 910 \times 0.0175 \times 1 = 15.925
\]

The account earned **$15.93** in interest the first year.

### d. How much interest did the account earn the third year?
Since this is simple interest, the amount of interest earned is the same each year:

\[
I = 15.93
\]

The account earned **$15.93** in interest the third year.

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Do you want more details on any of these? Here are some additional questions to expand your understanding:

1. How does compound interest differ from simple interest?
2. What would the ending balance be if the interest were compounded annually?
3. How does the length of time impact the amount of interest earned?
4. What would the interest be if the rate were 2% instead of 1.75%?
5. If Ralph wanted to double his balance, how long would it take at this interest rate?

**Tip:** Simple interest grows linearly, so the interest earned each year is constant.

Ralph deposited $910 in an account that pays 1.75% simple interest, for three years.
a. How much interest did the account earn?
b. What is the ending balance?
c. How much interest did the account earn the first year?
d. How much interest did the account earn the third year?

Learn how to calculate the simple interest on a $910 deposit earning 1.75% over 3 years. This problem explores key concepts in simple interest, including annual interest and ending balance. Suitable for students in Grades 6-8.

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