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Maru [420]
3 years ago
10

Which of the following is the correct factorization of the trinomial below? -7x2 - 4x + 20

Mathematics
1 answer:
il63 [147K]3 years ago
7 0

Answer:

( -7x + 10 ) ( x + 2)

Step-by-step explanation:

-7x² - 4x + 20

( -7x² - 14x ) + ( 10x + 20 )

-7x ( x + 2 ) + 10 ( x + 2 )

( -7x + 10 ) ( x + 2)

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3 years ago
Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.
denis-greek [22]

Answer:

<em>Lisa borrowed $8,500</em>

Step-by-step explanation:

<u>Simple Interest </u>

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

\displaystyle P=\frac{I}{rt}

Substituting:

\displaystyle P=\frac{170}{0.048*5/12}

\displaystyle P=\frac{170}{0.02}=8,500

Lisa borrowed $8,500

8 0
3 years ago
A survey given to consumers leaving a supermarket three days before Thanksgiving asked whether turkey would be part of the Thank
timofeeve [1]

Answer:

(0.1392,0.1466)

Step-by-step explanation:

Given that a survey given to consumers leaving a supermarket three days before Thanksgiving asked whether turkey would be part of the Thanksgiving meal

People surveyed = 182

claimed not eating turkey = 26

Sample proportion = \frac{26}{182} \\=0.1429

Std error =\sqrt{\frac{pq}{n} } \\=0.0260

Margin of error = 1.96*SE=0.00378

Confidence interval = (0.1429-0.0037,0.1429+0.0037)\\=(0.1392,0.1466)

5 0
3 years ago
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