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Lelechka [254]
3 years ago
12

Lilly took out an 80/20 mortgage to buy a house costing $100,000. The first

Mathematics
2 answers:
adoni [48]3 years ago
8 0

Answer:

$442.1 per month

Step-by-step explanation:

Lilly took 80/20 mortgage to buy house costing $ 100000

80% × 100000 = 80000 for the first at 4.75%

80000 × 4.75% = 80000 × 0.0475 = $ 3800 as interest per year,

20% × 100000 =  20000 for the second mortgage

20000 × 7.525% = 20000 × 0.07525 = 1505 as interest per year

add the first interest and the second interest

3800 + 1505 = 5305

divide the answer by 12 months to find the monthly payment

5305 / 12 = $442.1 per month

Zielflug [23.3K]3 years ago
8 0

Answer:

First mortgage is $417.32

Second mortgage is $140.19

Step-by-step explanation:

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A statistician calculates that 8% of Americans own a Rolls Royce. If the statistician is right, what is the probability that the
hichkok12 [17]

Answer:

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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}}

A statistician calculates that 8% of Americans own a Rolls Royce.

This means that p = 0.08

Sample of 595:

This means that n = 595

Mean and standard deviation:

\mu = p = 0.08

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.08*0.92}{595}} = 0.0111

What is the probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%?

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Since the normal distribution is symmetric, these probabilities are equal, and so we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.05 - 0.08}{0.0111}

Z = -2.7

Z = -2.7 has a p-value of 0.0035

2*0.0035 = 0.0070

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

8 0
3 years ago
HELP !!! Place the indicated product in the proper location on the grid. Write your answer in descending powers of x. (x 2 + 2x
inna [77]

Answer:

The answer to your question is:  x⁴ + 4x³ + 8x² + 8x - 5

Step-by-step explanation:

(x² + 2x - 1)(x² + 2x + 5) = x⁴ + 2x³ + 5x² + 2x³ + 4x² + 10x - x² - 2x - 5

                                       = x⁴ + 4x³ + 8x² + 8x - 5

6 0
3 years ago
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Use the standard normal distribution or the​ t-distribution to construct a 99​% confidence interval for the population mean. Jus
vichka [17]

Answer:

(25.732,30.868)

Step-by-step explanation:

Given that in a random sample of 42 ​people, the mean body mass index​ (BMI) was 28.3 and the standard deviation was 6.09.

Since only sample std deviation is known we can use only t distribution

Std error = \frac{s}{\sqrt{n} } =\frac{6.09}{\sqrt{42} } \\=0.9397

df = 42-1 =41

t critical for 99% two tailed = 2.733

Margin of error= 2.733*0.9397=2.568

Confidence interval lower bound = 28.3-2.568=25.732

Upper bound = 28.3+2.568=30.868

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3 years ago
Given: ∠AOB is a central angle and ∠ACB is a circumscribed angle.
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Answer:

We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because  

✔ all radii of the same circle are congruent.

We also know that AC ≅ BC since  

✔ tangents to a circle that intersect are congruent.

Using the reflexive property, we see that  

✔ side CO is congruent to side CO.

Therefore, we conclude that △ACO is congruent to △BCO by the  

✔ SSS congruence theorem.

please mark brainliest....  hope you have a great day ! XD

4 0
3 years ago
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What is 452 to the nearest thousand
son4ous [18]
The next larger even thousand is  1,000 .

The next smaller even thousand is zero thousands.

452  is nearer to <em>zero</em> thousand than it is to  1,000 .
5 0
3 years ago
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