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mr Goodwill [35]
2 years ago
12

Charlotte borrowed $834 to pay for a weekend trip the interest rate she agreed to pay is 3%. If she takes 2 years to pay back th

e loan how much will she owe
Mathematics
1 answer:
ratelena [41]2 years ago
8 0
Maybe it is
Explanation
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Convert the circle to standard form.<br><img src="https://tex.z-dn.net/?f=%20%7B9x%7D%5E%7B2%7D%20%20%2B%20%20%7B9y%7D%5E%7B2%7D
lara31 [8.8K]

Answer:

(x + 1)² + (y + 1)² = (√6)²

Step-by-step explanation:

Group the x- and y- terms together:

9x^2 + 18x + 9y^2 + 9y = 36

Factor out the coefficient 9:

x^2 + 2x + y^2 + y = 4

Complete the square of x^2 + 2x and then do the same for y^2 + 2y:

x^2 + 2x + 1 - 1 + y^2 + 2y + 1 - 1 = 4

Rewrite x^2 + 2x + 1 as the square of the binomial x + 1:

(x + 1)^2 + (y + 1)^2 - 2 = 4

Collect the constant terms on the right side:

(x + 1)^2 + (y + 1)^2 = 6

Rewrite 6 as (√6)^2:

(x + 1)² + (y + 1)² = (√6)² is the equation in standard form (x - h)² + (y - k)² = r²

Completing the square is done as follows:  x^2 + 2x

Start with x^2 + 2x

1.  Take half of the coefficient of x, which results in 2/2, or 1

2.  Square this result and add it to, and subtract it from x^2 + 2x

     x^2 + 2x + 1 - 1

3.  Rewrite the first three terms as the square of a binomial:  

     x^2 + 2x + 1 - 1 = (x + 1)² - 1.

Do the same for y² + 2y.

7 0
2 years ago
g You are planning an opinion study and are considering taking an SRS of either 200 or 600 people. Explain how the sampling dist
Katen [24]

Answer:

By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.

Step-by-step explanation:

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 the sampling distribution of size n of a sample proportion p, the mean is p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

Differences between SRS of 200 and of 600

By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.

6 0
3 years ago
The Greatest Show on Earth Circus Tour of 1890 hold the record for the most performers involved in a circus act. One hundred sev
Natasha_Volkova [10]

Answer:

yes

Step-by-step explanation:

175 + 263 = 438

to get 40% do 40/100=0.4

so 438 x 0.4 = 175.2

175 is about 40% of 438

3 0
2 years ago
20 kilograms increased by 25%
IgorC [24]

Answer:

25 kilograms

Step-by-step explanation:

4 0
2 years ago
Use the relationship between the angles in the figure to answer the question.
Brut [27]

Answer:

​x + 49 + 28 = 180​

Step-by-step explanation:

​The angles on a straight line with x° are 28° and 49° respectively, side by side with x°. This is because, vertical angles are equal. Therefore, the angle vertically opposite 28° and 49° are equal to 28° and 49° respectively.

Therefore, since angles on a straight line is 180°, thus:

​x + 49 + 28 = 180​

6 0
3 years ago
Read 2 more answers
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