Someone, ! you place $4,000.00 in a bank account with an interest rate of 5.25% apr and another $2,000.00 in an account with an interest rate of 6.00% apr. a. how much interest will be earned for each account on the original principal in 6 months? b. what is the difference in the amount of interest earned? c. which amount has your money working for you the best? be sure to include in your response: the steps you followed to complete your computations the final answers to each question the mathematical reasoning for the answer to "c" you to anyone who can ! : )

Hello there! I can help you! The formula for simple interest is prt. This means that you multiply the principal (the initial amount in the bank), by the rate (simple interest rate) by the amount of time (could be in months or years). 

A. Okay. For this problem, we are looking for the amount of interest that will be in the bank after 6 months. We would multiply the time by 0.5, because 6 months is 1/2 a year and 1/2 = 0.5. Let's start off with the 1st account. 4,000 * 5.25% (0.0525) = 210. 210 * 0.5 is 105. There will be $105 in the first account after 6 months. Now, the second one. 2,000 * 6% (0.06) = 120. 120 * 0.5 is 60. There will be $60 in the 2nd account after 6 months. Here are the answers easier to read.

1st account: $105
2nd account: $60

b. To find the difference in the amount of interest earned, just subtract both amounts. 105 - 60 is 45. The difference of the amount of interest earned between the 2 accounts is $45.

c. The 1st account is giving you the most interest out of both accounts. Although it has a lower APR, it gives you the most money, because you have more money in the account initially, than in the 2nd account. When it comes to simple interest, it is calculated, based on the initial amount in the bank. You would have many more dollars in the bank with the first account, and that number would go up as more interest is added.

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The answers are 20,30,80,180,960,890,1230,4560. on the first row