MATH QUESTION PLEASE HELPPP ASAP, DUE IN AN HOUR

Answer:  The simplified form of the radical is

Step-by-step explanation:  We are given to find the simplified form of the  following radical:

We will be using the following square root property:

The simplification is as follows:

Thus, the simplified form of the radical is

Step-by-step explanation:

Pattern 1 :

Arithmetic Sequence

Common term = 4

Pattern 2 :

Geometric Sequence

Common ratio = 2

Answer:

pattern 1 arithmetic The common difference is 4. The pattern starts at 3 and always adds 4 to get to the next term.

pattern 2 geometric The common ratio is 2. The pattern starts at 3 and always multiplies by 2 to get to the next term.

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

1/2 x3 = x4/2

x=4

3 x 4 = 12

12/2 = 6

The  simplified expression is -8a² - 24ab.

Given expression: (2a + 6b)(6b - 2a) - (2a + 6b)^2

First, let's expand the squared term (2a + 6b)^2:

(2a + 6b)(6b - 2a) - (2a + 6b)(2a + 6b)

Now, we have a common factor of (2a + 6b) in both terms, so let's factor it out:

(2a + 6b)[(6b - 2a) - (2a + 6b)]

Now, simplify the expression inside the brackets:

(2a + 6b)[6b - 2a - 2a - 6b]

Combining like terms within the brackets:

(2a + 6b)[-4a]

Now, multiply the remaining terms:

-4a(2a + 6b)

-8a² - 24ab

Therefore, the simplified expression is -8a² - 24ab.

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Answer:

-8a(a+3b)

Step-by-step explanation:

(2a+6b)(6b−2a)−(2a+6b)^2

(2a+6b) {(6b−2a)−(2a+6b)(2a+6b)}

2(a+3b) (6b-2a-2a-6b)

2(a+3b) (-4a)

-2(a+3b) x 4a

-2 x 4a (a+3b)

-8a(a+3b)

The 4-year loan at 7.5% APR seems to be the best choice as it strikes a balance between a reasonable monthly payment and minimizing the total interest paid.

To determine which loan option best meets your needs, you should consider both the monthly payment amount and the total cost of the loan. Here's how you can calculate and compare the three options:

1. 3-year loan at 7% APR:

  - Monthly payment: $325

  - Total payments over the loan term: $325 * 12 months/year * 3 years = $11,700

  - Total interest paid: $11,700 - $15,000 = $3,300

2. 4-year loan at 7.5% APR:

  - Monthly payment: $325

  - Total payments over the loan term: $325 * 12 months/year * 4 years = $15,600

  - Total interest paid: $15,600 - $15,000 = $600

3. 5-year loan at 8% APR:

  - Monthly payment: $325

  - Total payments over the loan term: $325 * 12 months/year * 5 years = $19,500

  - Total interest paid: $19,500 - $15,000 = $4,500

Now, let's analyze the options:

- The 4-year loan at 7.5% APR has the highest monthly payment but the lowest total interest cost, making it the most cost-effective option. However, you should ensure that the higher monthly payment fits comfortably within your budget.

- The 3-year loan at 7% APR has a lower interest cost than the 5-year loan but a higher monthly payment. It's a good middle-ground choice if you can afford the monthly payments.

- The 5-year loan at 8% APR offers the lowest monthly payment but results in the highest total interest cost. It's the least cost-effective option, and you would end up paying significantly more over the loan term.

Ultimately, the 4-year loan at 7.5% APR seems to be the best choice as it strikes a balance between a reasonable monthly payment and minimizing the total interest paid. However, ensure that the monthly payment aligns with your financial situation before making a decision.

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Answer:

the 5yr/ $270mth

Step-by-step explanation:

$15k × 8% = $1200 interest

$15k + $1200 = $16,200.00

$16500 ÷ 60months (5years) = $270/mth pymt