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ElenaW [278]
4 years ago
5

What are the factors of the expression below? -x+2x+35

Mathematics
2 answers:
Serhud [2]4 years ago
6 0

The answer is A

Good luck

gulaghasi [49]4 years ago
5 0

Answer:

A

Step-by-step explanation:

Given

- x² + 2x + 35 ← factor out - 1 from each term

= - 1 (x² - 2x - 35)

To factor the quadratic inside the parenthesis

Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

The factors are - 7 and + 5

since - 7 × + 5 = - 35 and - 7 + 5 = - 2, hence

x² - 2x - 35 = (x + 5)(x - 7)

- x² + 2x + 35 = - 1 (x + 5)(x - 7) → A

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Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until
alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

<u>Month 0</u> (first payment)

$250

Month 1

250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})

<u>Month 2</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)

<u>Month 3</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)

<u>Month 24 (2 years)</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})

The sum  

1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}

is the sum of the first 24 terms of a geometric sequence with common ratio \frac{12.04}{12} which is

\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

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3 years ago
if the area of polygon P is 20 units² and the ratio of similarity of polygon P to polygon G is 7/3, what is the area of polygon
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