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melamori03 [73]
3 years ago
7

The Hughes purchased a new condo for $ 1,000,000. at 8 % for 30 years. What is the monthly payment?

Mathematics
1 answer:
viktelen [127]3 years ago
4 0
We know that

P = A/D
Where,
P = monthly payments,
A = Total amount =$1,000,000
D=[(1+r/12) ^{12*t}-1]/[(r/12)*(1+r/12)^{12*t}]

in this problem

t=30 years
r=8%----> 0.08

D=[(1+0.08/12) ^{12*30}-1]/[(0.08/12)*(1+0.08/12)^{12*30}] =136.2835

P=1000000/136.2835-----\ \textgreater \  P=$7337.65


the answer is
$7337.65

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As part of the Pew Internet and American Life Project, researchers conducted two surveys in late 2009. The first survey asked a
REY [17]

Answer:

The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.

Step-by-step explanation:

Before building the confidence interval we need to understand the central limit theorem and the subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample of 800 teens. 73% said that they use social networking sites.

This means that:

p_T = 0.73, s_T = \sqrt{\frac{0.73*0.27}{800}} = 0.0157

Sample of 2253 adults. 47% said that they use social networking sites.

This means that:

p_A = 0.47,s_A = \sqrt{\frac{0.47*0.53}{2253}} = 0.0105

Distribution of the difference:

p = p_T - p_A = 0.73 - 0.47 = 0.26

s = \sqrt{s_T^2+s_A^2} = \sqrt{0.0157^2+0.0105^2} = 0.019

Confidence interval:

Is given by:

p \pm zs

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Lower bound:

p - 1.96s = 0.26 - 1.96*0.019 = 0.223

Upper bound:

p + 1.96s = 0.26 + 1.96*0.019 = 0.297

The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.

3 0
2 years ago
Plz show work to get brainliest
gogolik [260]

Answer:

45 students speak Spanish at Francis Lewis High School

Step-by-step explanation:

Option1:

  \frac{72}{400}  = \frac{x}{250}

  18000 = 400x

  x = 45 students speak Spanish at Francis Lewis High School

Option2:

  72 ÷ 400 = 0.18

  0.18 * 250 = 45 students speak Spanish at Francis Lewis High School

4 0
2 years ago
A. 23.3 cm<br><br><br> B. 16 cm<br><br><br> C. 8 cm
Hitman42 [59]
B. 16 cm

Square both 20 and 12

20x20=400

12x12=144

400-144=256
 
find the square root of 256
and the square root is 16

so b is 16 cm
6 0
3 years ago
Both circle A and circle B have a central angle measuring 50°. The area of circle A's sector is 36π cm2, and the area of circle
slega [8]

Answer:

A) 3/4

Step-by-step explanation:

Given: Both circle A and circle B have a central angle measuring 50°.

           The area of circle A's sector is 36π cm2.

            The area of circle B's sector is 64π cm2.

We know, area of the circle= \pi r^{2}

lets assume the radius of circle A be "r_1" and radius of circle B be "r_2"

As given, Area of circle A and B´s sector is 36π and 64π repectively.

Now, writing ratio of area of circle A and B, to find the ratio of radius.

⇒\frac{\pi r_1^{2}  }{\pi r_2^{2} }  = \frac{36\pi }{64\pi }

Cancelling out the common factor

⇒ \frac{r_1^{2}  }{r_2^{2} }  = \frac{36 }{64}

⇒ (\frac{r_1  }{r_2} )^{2} = \frac{36 }{64}

Taking square on both side.

Remember; √a²= a

⇒ (\frac{r_1  }{r_2} ) =\sqrt{ \frac{36 }{64}}

⇒ (\frac{r_1  }{r_2} ) = \frac{6}{8}

⇒\frac{r_1  }{r_2}  = \frac{3}{4}

Hence, ratio of the radius of circle A to the radius of circle B is 3:4 or 3/4.

5 0
3 years ago
Question 3 (1 point)
Varvara68 [4.7K]

Answer:

True

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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