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Account C, Account A, Account B
We are given the formula for the simple interest I earned on an account where an amount p is deposited at an interest rate r for a certain number of years t. I = prt Let's consider the given table that shows the details of the three different accounts.
| Accounts at First Savings Bank | ||
|---|---|---|
| Account | p ($) | r ( %) |
| A | 350 | 4 |
| B | 500 | 3.5 |
| C | 280 | 4.25 |
We want to order the accounts from least to greatest interest earned after 5 years. To do so, we will first find the value of each interest earned after 5 years. Let's start by finding the interest earned on Account A. We will substitute 350 for p, 4 % for r, and 5 for t into the formula.
I = prt ⇔ I = 350* 4 % * 5
Now we can find the value of I for the first account.
Write as a decimal
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Next, let's find the interest on Account B. Let's substitute 500 for p, 3.5 % for r, and 5 for t into the formula. I = prt ⇔ I = 500 * 3.5 % * 5 Let's rewrite 3.5 % as a decimal.
Now we can find the value of I for Account B.
Write as a decimal
Multiply
Multiply
Next, we will find the interest on Account C. Let's substitute 280 for p, 4.25 % for r, and 5 for t into the formula. I = prt ⇔ I = 280 * 4.25 % * 5 Let's rewrite 4.25 % as a decimal. One again, we ignore the percent symbol and move the decimal point two places to the left.
Let's find the value of I for the account C.
Write as a decimal
Multiply
Multiply
We found the interests on each account. Let's make a new column in the table with the value of interest after 5 years.
| Accounts at First Savings Bank | |||
|---|---|---|---|
| Account | p ($) | r ( %) | Interest I after 5 years |
| A | 350 | 4 | 70 |
| B | 500 | 3.5 | 87.5 |
| C | 280 | 4.25 | 59.5 |
The account with the least amount of interest earned is Account C, and account with the greatest is Account B. Therefore, we can finally order the accounts from least to greatest interest earned. Account C, Account A, Account B