All categories

3 years ago

Expand and combine like terms. (8n^2+3n^7)(8n^2-3n^7)

Mathematics

1 answer:

asambeis [7]3 years ago

5 0

Answer:

64n⁴ - 9n¹⁴

General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients/Degrees
Expand by FOIL (First Outside Inside Last)
Exponential Rule: $\displaystyle b^m \cdot b^n = b^{m + n}$

Step-by-step explanation:

<u>Step 1: Define</u>

(8n² + 3n⁷)(8n² - 3n⁷)

<u>Step 2: Expand</u>

FOIL: 64n⁴ - 24n⁹ + 24n⁹ - 9n¹⁴
Combine like terms: 64n⁴ - 9n¹⁴

You might be interested in

Please help asap 26 pts

exis [7]

4 x > − 16 (Possibility 1)
4 x
4 > − 16
4 (Divide both sides by 4)
x > − 4

6 x ≤ − 48 (Possibility 2)
6 x
6 ≤ − 48
6 (Divide both sides by 6)
x ≤ − 8

Answer:
x > − 4 or x ≤ − 8

8 0

3 years ago

Miguel has a credit card bill of $7250 with an interest rate of 16%. To pay his bill off in one year, he must make monthly payme

Tems11 [23]

Answer:

The extra amount to be paid = $ 309.15

Step-by-step explanation:

Credit card bill = $ 7250 .

Interest rate = 16 % .

<h3>AMOUNT TO BE PAID IN 1 YEAR</h3>

Monthly payment = $ 657.80

Total amount to be paid in a year = $ 657.80 × 12 = $ 7893.6

Interest amount in 1 year = $ 7893.6 - $ 7250 = $ 643.6.

<h3>AMOUNT TO BE PAID IN 18 MONTHS </h3>

Monthly payment = $ 455.71.

Total amount to be paid in a 18 months = $ 455.71 × 18 = $ 8202.78

Interest amount to be paid in 18 months = $ 952.78 .

The extra amount to be paid = $ 8202.78 - $ 7893.6 = $ 309.15

5 0

4 years ago

you invest $1000 dollars in an account at 2.5% per year simple interest. How much will you have in the account at the beginning

Lina20 [59]

<span>I = PRT

</span><span>P = 1000
R = 2.5% -- change to a decimal = .025
T = 3
</span>
<span> now we sub I = PRT
I = (1000)(.025)(3)
I = 75
</span><span> so at the end of 3 years, there will be : 1000 + 75 = $ 1075 in the account
</span>
Hope this helps!!
~Lena~
<span />

7 0

4 years ago

Read 2 more answers

Look at the triangular prism. Work out the volume of the prism.

xz_007 [3.2K]

Answer:

See explanation

Step-by-step explanation:

The question has missing details, as the diagram of the prism is not shown.

However, I'll solve using a general rule.

The volume of a triangular prism is:

$Volume = \frac{1}{2}* b * h * l$