Dominic pays 7% interest on his $16,000 college loan and 12% interest on his $12,000 car loan. What average interest rate does he pay on the total $28,000 he owes? (Round your answer to the nearest tenth of a percent.)

Answer:

Paranthesis

Step-by-step explanation:

Remember: PEMDAS!!!

P: Paranthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

Paranthesis always comes first in the PEMDAS rule, so if an equation includes paranthesis, solve the paranthesis first!!!

Answer:

6

Step-by-step explanation:

3/4=6/8

1/8x=6/8

x=6

Explicación paso a paso:

Dado

an = n + 3

bn = 5n-1

a) an-bn = n + 3- (5n-1)

= n + 3-5n + 1

= n-5n + 3 + 1

= -4n + 4

an-bn = 4-4n

b) an + 3bn = (n + 3) +3 (5n-1)

= n + 3 + 3 (5n) +3 (-1)

= n + 3 + 15n-3

= n + 15n + 3-3

= 16n + 0

= 16n

an + 3bn = 16n

3) Dado a1 = 1, a2 = 1

an = an-1 + an-2

Debemos escribir los primeros ocho términos de la secuencia.

a3 = a3-1 + a3-2

a3 = a2 + a1

a3 = 1 + 1

a3 = 2

a4 = a3 + a2

a4 = 2 + 1

a4 = 3

a5 = a4 + a3

a5 = 3 + 2

a5 = 5

a6 = a5 + a4

a6 = 5 + 3

a6 = 8

a7 = a6-a5

a7 = 8 + 5

a7 = 13

a8 = a7 + a6

a8 = 13 + 8

a8 = 21

Por tanto, los primeros ocho términos de la secuencia son 1, 1, 2, 3, 5, 8, 13 y 21

The idealized regression line is y = β₀ + β₁x + ε, and the least-squares regression line is Y = b₀ + b₁x. Four assumptions for regression inference are linearity, independence, homoscedasticity, and normality. The standard error of the regression slope is affected by the spread, sample size, and relationship strength. The formula for the standard error of the slope is SEb₁ = √[ Σ(\(y_i - Y_i\))² / (n-2) ] / √[ Σ(\(x_i\) - X)² ]. If there is no association between two variables, the slope of the regression line should be zero.

There are two equations commonly used in regression analysis: the idealized regression line and the least-squares regression line.

The equation for the idealized regression line is

y = β₀ + β₁x + ε

where

y is the dependent variable

x is the independent variable

β₀ is the intercept

β₁ is the slope

ε is the error term

The equation for the least-squares regression line is

Y = b₀ + b₁x

where

Y is the predicted value of y

x is the independent variable

b₀ is the intercept

b₁ is the slope

There are four assumptions and conditions that must be met in order to perform inference for regression

The relationship between the independent variable and dependent variables is called Linearity . To check linearity, plot the dependent variable against the independent variable and look for a straight-line pattern.

Independence, The observations are independent of each other. To check independence, ensure that there is no relationship between the residuals (the difference between the observed value and the predicted value) and any other variables.

The constant variance of errors across independent variable of all level is called homoscedasticity. To check homoscedasticity, plot the residuals against the predicted values and look for a consistent spread of points around zero.

Normality, The errors are normally distributed. To check normality, plot a histogram of the residuals and look for a roughly bell-shaped distribution.

The formula for the standard error for the slope is

SEb₁ = √[ Σ(\(y_i\)- \(Y_i\))² / (n-2) ] / √[ Σ(\(x_i\) - X)² ]

where

\(y_i\), observed value of variable which is dependent for the ith observation

\(Y_i\) is the predicted value of the dependent variable for the ith observation

\(x_i\), the observed value of variable which is independent for the ith observation

X is the mean of the independent variable

n is the sample size

The formula for the sampling distribution for regression slopes is

b₁ ~ N(β₁, σ² / Σ(\(x_i\) - X)²)

where

b₁, least-squares regression line's slope

β₁ is the true population slope

σ² is the variance of the errors

If there is no association between two variables, the slope of the regression line should be zero. it depicts that the variable which is independent has no effect on the variable which is dependent.

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Answer:

C

Step-by-step explanation:

The first one (0,7) tells you that when x isn't there, the amount of money is 7.

That means that the y intercept is 7.

When x = 1 the total is 15

Money saved = ax + 7

15 = a*1 + 7                         Subtract 7

15-7 = a + 7-7

a = 8

The equation is f(x)  = 8x + 7

If the price of good x increases, the demand curve for good Y to shift to the right.

Complement goods are defined as the goods that a consumer likes to consume with a given good. Example of goods like it , peanut butter and jelly.

Substitute goods are those goods that a consumer could consume instead of a given good. For example, peanut butter and almond butter. The Market Equilibrium is used to define the intersection between the demand and supply curve. In other words, the market equilibrium occurs when price and quantity are same.o

When the price of a substitute , x increases, the demand for the second good increases. That is to say, there is a positive relationship between these two variables. In other words the price of good x increased , the demand for x will increase because it is more attractive for consumers. Therefore, the demand curve of y all shifts to the right.

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Answer: y = -3x + 10

Step-by-step explanation:

Slope-Intercept is written as y = mx + c : m represents the slope and c represents the y-intercept.

On this graph, we see that the line crosses the y-axis when y = 10, meaning we can replace c with positive 10: y = mx + 10.

Now we need to find the slope. In order to this, we need to use a formula:

\(m=\frac{y_2 - y_1}{x_2 - x_1}\)

We will need to choose two coordinates for this, I will be using the coordinates (0, 10) and (1, 7). We can then plug the appropriate values in:

\(m = \frac{7 - 10}{1 - 0} = \frac{-3}{1} = -3\)

Now we can replace the m in the equation with -3, so we will not get:

y = -3x + 10

Hope this helps.

Answer:

12x = $120

Step-by-step explanation:

12 tickets * price = $120

Given that the length of one of the sides of the triangle is the radius, the length of the other leg of the triangle is also 6 units.

Therefore, this is an instance of a 45-45-90 triangle. The value of x can now be solve by

Given that the side length of the 45-45-90 triangle is 6 units, the length of the hypotenuse x is

Equivalent  system are-

The given expression is;

These given expression are written as;

Multiplying equ 1 with 7 and eq 2 with -5,

Thus, equivalent  system are-

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The options for the given question are attached.

Answer:

the answer is a. The population is all words in the book report and the sample is the random sample of 20 words.

Step-by-step explanation:

got it right on edge

Answer: a. The population is all words in the book report and the sample is the random sample of 20 words.

Step-by-step explanation:

Answer:

he was 9 ft in and swam a total of 87 ft total.

Answer:

C

Step-by-step explanation:

4!  is 4 factorial

 4! =   4  x  3  x  2  x  1 = 24

Answer:

24

Explanation:

4! (4 factorial) means we multiply 4 by all the numbers that come before it (these numbers are NOT fractions or zero). We stop at 1. Here's how this works.

\(\sf{4!=4\times3\times2\times1}\)

This evaluates to:

\(\sf{4!=24}\)

Therefore, 4! = 24.

The quadratic expression 10x² + 17x + 3 when divided by (5x + 1) gives 2x + 3.

Given quadratic expression is,

10x² + 17x + 3

We have to divide the polynomial with 5x + 1.

First let us factorize the given quadratic expression.

10x² + 17x + 3

Discriminant = 17² - (4 × 10 × 3) = 169

x = (-17 ± √169) / 20

x = (-17 ± 13) / 20

x = -4/20 and x = -30/20

x = -1/5 and x = -3/2

This can be factored as,

(x + 1/5) (x + 3/2)

(5x + 1) (2x + 3)

Hence the quotient is 2x + 3.

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Answer:

Step-by-step explanation:

138° - 80° = 58°

Divide 21 boxes into two groups so the ratio is 2:5 is 6 boxes and 15 boxes.

In this section, the terms ratio and percentage are defined. Many examples where the notion of the ratio is highlighted may be found in daily life, such as the rate of speed (distance/time) or price (rupees/meter) of a substance.

Sum of the ratio given is=2+5=7

Now to divide 21 into two groups in the ratio 2:5 , we have to use sum of the ratio.

first group is =\(\frac{2}{7}\)×21

first group is =6

and second group is =\(\frac{5}{7}\)×21=15

Hence the first group will get 6 boxes while other will get 15 boxes.

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Sampling is the process of selecting a sample from a population. The samples selected should be representative of the population being surveyed to produce accurate data.

A good sampling method requires that all individuals in the population have an equal chance of being selected. When a survey's sample size is larger than 10% of the population being surveyed, it is important to use proper sampling methods. In the given scenario, the sampling method appears to be flawed because it has a potential bias, as the survey subjects were only internet users who responded to a question that was posted on a news website. As a result, the sample may not represent the entire population, and therefore the conclusions drawn from the sample may not be accurate. This sample is neither random nor representative because the survey is only limited to internet users who visited a news website. So, the given sampling method appears to be flawed.

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A linear equation relating profit, to the number of student is shown below.

y = 2x + 500

Linear equation is used to present the elements in mathematic. A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

To write a linear equation relating profit to the number of students, we need to find the slope and the y-intercept of the line.

The slope of the line can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

In this case, we can use the two data points given to find the slope:

slope = (460 - 500) / (80 - 100) = -40/ -20 = 2

The y-intercept of the line is the point where the line crosses the y-axis, which is the profit when the number of students is 0. In this case, the y-intercept is 500, since that is the profit when 100 students purchase items.

Using these values, we can write the linear equation in slope-intercept form:

y = 2x + 500

This equation can be interpreted as follows: the profit (y) is equal to 2 times the number of students (x) plus 500.

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There is a 99.9919682% probability that at least one test will be accurate, which is equivalent to 1 - 0.000080318 = 0,999919682.

A sample space is a set of potential results from a random experiment.

The letter "S" is used to denote the sample space.

Events are the subset of possible experiment results.

Depending on the experiment, a sample area could contain a variety of results.

The potential ordered outcomes, or sample points, are listed as elements in a set that is used to represent a sample space.

So, in this sample of 7 units, the number of accurate tests is a random variable with the following possible outcomes:

0 accurate tests

1 accurate tests

2 accurate tests

3 accurate tests

4 accurate tests

5 accurate tests

6 accurate tests

7 accurate tests

The likelihood that one or more tests will be accurate is equal to the likelihood that one test will be accurate plus the likelihood that two tests will be accurate plus the likelihood that three tests will be accurate plus the likelihood that four tests will be accurate, and so on, up to seven. Simply deduct the likelihood that 0 tests will be accurate from the unit, and we will have the required result.

The likelihood that a test will be inaccurate is 1 - 0.74 = 0.26. The likelihood that all seven randomly selected tests are inaccurate is equal to 0.26⁷ = 0.000080318.

Hence, the likelihood that at least one test will be accurate is equal to the:
1 - 0.000080318 = 0,999919682 or 99.9919682%

Therefore, there is a 99.9919682% probability that at least one test will be accurate, which is equivalent to 1 - 0.000080318 = 0,999919682.

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Complete question:
A doctor knows that the medical test for a certain health condition gives accurate results 74% of the time. Find the probability that, if 7 of these tests are randomly selected, at least one of them is accurate.

Answer:

-6/4 or -3/2

Step-by-step explanation:

Slope is change in y/ change in x

Change in y= -6

Change in x= +4

Answer:

a: 300 Yards

b: 10 seconds

c: 5 Yards per second

The correct explanation for preferring the mean over the median as a measure of center is option 3: The mean is the same as the median for symmetric data.

The mean over the median as a measure of center is that the mean takes into account all values in a data set, making it more representative of the data as a whole. On the other hand, the median only considers the middle value(s), and is less sensitive to outliers. This means that extreme values in a data set have less impact on the median than they do on the mean. However, if the data set is skewed or has outliers that significantly affect the mean, the median may be a better measure of central tendency. In summary, the choice between the mean and the median depends on the characteristics of the data set being analyzed and the research question being asked.
In symmetric data, the mean and median provide the same central value, giving an accurate representation of the data's center. However, it's important to note that the mean is more sensitive to outliers than the median, which might affect its accuracy in skewed data sets.

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Answer:

20 Students

Step-by-step explanation:

If there is 1 chaperone for every 4 students, and there are a total of 5 chaperones on the trip, you can use this information to know that..

If there are 5 chaperones and 4 students for each chaperone, that would give you 20 students!

Answer:

Write an equation to represent y , Calvin’s total earnings based on x the number of hours he works.

y= 15.50x

16. How much will Calvin earn if he works 15 hours?

$232.5

Step-by-step explanation:

Answer:All you need to do is divide 80 by 10, and then multiply 10 by 3

The equation of the line in the given form, y = mx + c, is y = [?]x + [?].slope and y-intercept, we cannot determine the equation of the line.

To find the equation of a line in the form y = mx + c, we need the slope (m) and the y-intercept (c). However, since the values for the slope and y-intercept are not provided in the question, we cannot determine the equation without additional information.

Without knowing the values for slope and y-intercept, we cannot determine the equation of the line.

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Answer:

It's y=-3x+7. Hope this helps!

Answer: 54

9% of 600 would be 54.