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riadik2000 [5.3K]
3 years ago
9

1. SIMPLIFY EACH EXPRESSION:

Mathematics
1 answer:
natka813 [3]3 years ago
8 0

Answer:

1. 8x2 - 7x + 4x3 - 2-3x2 + 9x - 4 = 16+2x

Step-by-step explanation:

1. Multiply all the multiplication problems (should look like this --> 16-7x+12-2-6+9x-4)

2. Calculate the sum or difference (should end up looking like this --> 16-7x+9x) and then into this (16 +2x)

Bringing us to the answer → <u>16 + 2x!</u>

<u></u>

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A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
hammer [34]
<u>Information:</u>

Fixed Cost = $32,634
Variable Cost = $8.75 per book.
Selling Price = $24.50 per book.

<u>Define x:</u>

Let x be the number of books sold.

<u>Construct Equation:</u>

For production cost to be equal auto money from sales:
⇒ 24.5x = 32634 + 8.75x 

<u>Solve x:
</u>
24.5x = 32634 + 8.75x 

Take away 8.75x from both sides:
15.75x = 32634

Divide both sides by 15.75:
x = 2072

Answer: The publisher must sell 2072 books.
6 0
3 years ago
Find the value of x<br> DUE SUNDAY I NEED ASAP
Leto [7]

Answer:

x=43°

Step-by-step explanation:

The angles are adjacent and create a straight line so their sum is 180°.

(x+6)°+(3x+2)°=180°

x°+6°+3x°+2°=180°

4x°+8°=180°

4x°=172°

x=43°

5 0
2 years ago
Read 2 more answers
On 1st January 2020, Laurie invests P dollars in an account that pays a nominal annual interest rate of 5.5%, compounded quarter
andrezito [222]

Answer:

1) The common ratio =  1.055

2) The year in which the amount of money in Laurie's account will become double is the year 2032

Step-by-step explanation:

1) The given information are;

The date Laurie made the investment = 1st, January, 2020

The annual interest rate of the investment = 5.5%

Type of interest rate = Compound interest

Therefore, we have;

The value, amount, of the investment after a given number of year, given as follows;

Amount in her account = a, a × (1 + i), a × (1 + i)², a × (1 + i)³, a × (1 + i)ⁿ

Which is in the form of the sum of a geometric progression, Sₙ given as follows;

Sₙ = a + a × r + a × r² + a × r³ + ... + a × rⁿ

Where;

n = The number of years

Therefore, the common ratio = 1 + i = r = 1 + 0.055 = 1.055

The common ratio =  1.055

2) When the money doubles, we have;

2·a = a × rⁿ = a × 1.055ⁿ

2·a = a × 1.055ⁿ

2·a/a = 2 = 1.055ⁿ

2 = 1.055ⁿ

Taking log of both sides gives;

㏒2 = ㏒(1.055ⁿ) = n × ㏒(1.055)

㏒2 = n × ㏒(1.055)

n = ㏒2/(㏒(1.055)) ≈ 12.95

The number of years it will take for the amount of money in Laurie's account to double = n = 12.95 years

Therefore, the year in which the amount of money in Laurie's account will become double = 2020 + 12..95 = 2032.95 which is the year 2032

The year in which the amount of money in Laurie's account will become double = year 2032.

3 0
3 years ago
The difference between 8 and a number is 5.
pav-90 [236]

Answer:

the answer is 3.

Step-by-step explanation:

Difference between means to subtract.

8 - 5 = 3

3 0
2 years ago
Read 2 more answers
Calculate 177537+87439-19673​
nadezda [96]

Answer:

See below.

Step-by-step explanation:

Following order of operations:

177537+87439=264976

264976-19673=245303

So, 177537+87439-19673​ is equal to 245303.

-hope it helps

8 0
2 years ago
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