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3 years ago

Whats the answer? 1. (∗ +2b)^2 = a^2+4ab+4b^2

Mathematics

1 answer:

pishuonlain [190]3 years ago

6 0

Answer:

* = a

Step-by-step explanation:

$(a+2b)(a+2b)\\a^{2} +2b+2b+4b^{2}\\a^{2}+4b+4b^{2}$

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10.Adrienne is going to deposit $8,500 in an account that earns 2.5% interest for 360 months. How much more interest will she ea

suter [353]

Answer:

Difference= $3,090.15 in favor of compounded interest

Step-by-step explanation:

Giving the following information:

Present value (PV)= $8,500

Ineterest (i)= 0.025/12= 0.00208

Number of periods (n)= 360 months

We will calculate the future value of each option and determine the difference:

Simple interest:

FV= (PV*i*n) + PV

FV= (8,500*0.00208*360) + 8,500

FV= $14,864.8

Compounded interest:

FV= PV*(1+i)^n

FV= 8,500*(1.00208^360)

FV= $17,958.95

Difference= $3,090.15

6 0

2 years ago

The area of a rectangle is greater than or equal to 154 square centimeters. The width of the rectangle is 12 centimeters and the

soldier1979 [14.2K]

Answer:

x ≤ 12.83

(Any number under or equal to 12.8333...)

Step-by-step explanation:

154 ≥ 12x

12.833.... ≥ x

x ≤ 12.83

5 0

2 years ago

A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba

Ahat [919]

Answer:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

$\hat p=\frac{21}{100}=0.21$ estimated proportion of overfilled bags

$p_o=0.15$ is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:

Null hypothesis: $p =0.7$

Alternative hypothesis: $p > 0.15$

The statistic for this case is:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And replacing the info given we got:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

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3 years ago

−6x^2−1 and x+9 help will mark brainliest.

Varvara68 [4.7K]

Answer:

-6x^2+x+8

Step-by-step explanation:

Add -1 and 9 because they are the only like terms

8 0

2 years ago

Clare is paid 90$ for 5 hours of work. At this rate, how many seconds dose it take for her to earn 25 cents?

mrs_skeptik [129]

Answer:

84 seconds

Step-by-step explanation:

Because if you divide all of that you would get that answer

3 0

2 years ago