Mathematics, 15.07.2019 00:20 anthonylopez1

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 ! : )

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Answer from: maddo36

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.

Answer from: joThompson

A.) First account: First, I multiplied 4,000 by 0.0525 to get 210. Then, I multiplied the total by 0.5, because 6 months is equal to half a year (1/2) and 1/2 = 0.5. So, 210 times 0.5 is 105. There will be $105 in the first account after 6 months.

Second account: First I multiplied 2,000 by 0.06 to get 120. Then I multiplied 120 by 0.5. I got 60. There will be $60 in the second account after 6 months.

B.) The difference in the amount of interest earned would be $45. I did this by subtracting 60 from 105.

C.) The first account has my money working for me the best. The first account gives me the most money because I have more money in the account to start out with, than in the second account. Yes, the interest rate is higher in the second account, but since I have more money in the first account, I am receiving more money with the first account's interest rate.

Answer from: Quest

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get $6x^{2} -3x$

and solving the given expression :

3x(2x-1)

$6x^{2} -3x$

since solving the expression using tiles and solving the expression algebraically we get the same answer

thus we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

Which is true regarding armando’s use of algebra tiles? he used the algebra tiles correctly. he did

Answer from: Quest

answer: x = 3 + √11 and x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

x = 3 ± √11

x = 3 + √11 and x = 3 - √11

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