8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 14 years , to the nearest cent?

Complete question is;

Which statements about functions g(x) = x² - 4x + 3 and f(x) = x² - 4x are true? Select all that apply.

A. The vertex of the graph of function g is above the vertex of the graph of function f.

B. The graphs have the same axis of symmetry.

C. Function f has a maximum value and function g has a minimum value.

Answer:

Options A & B are correct

Step-by-step explanation:

I've drawn and attached a graph showing the functions f(x) and g(x).

The function f(x) is depicted by the blue curve while the function g(x) is depicted by the red curve.

Now, from the graph attached, we see that the vertex which is the highest point of the graph is;

for f(x); (2, -4)

For g(x); (2, -1)

Thus,the vertex of the function g is see to be higher than that of f from the graph. So option A is correct.

Axis of symmetry is a vertical line that divides the parabola of a graph into 2 congruent parts. This means it is a vertical line that passes through the vertex.

From the graph, we can see both of their vertex have their x value as 2. Thus, their axis of symmetry are the same.

So option B is also correct.

The function will have a maximum value if the y-value at that point is larger than all other y-values while it's a minimum value if the y-value at that point is lesser than all other y-values on the graph.

In the attached graph, both parabola have a minimum value as they both have a lowest y-value.

Thus, option C is not correct.

As per the given triangle, the length of AB rounded to 3 significant figures is 10.7 units.

We are given a triangle ABC with a right angle at A, i.e., CAB = 90°. Let AC be the side opposite to the right angle, and let AB be the hypotenuse. We are also given that ABC = 57° and AC = 9.2.

Using the trigonometric function, we can relate the angles and sides of a right-angled triangle. In particular, we can use the sine function to relate the angle opposite to a side and the hypotenuse. Thus, we have:

sin(ABC) = AC/AB

Substituting the given values, we get:

sin(57°) = 9.2/AB

Now, we can solve for AB by multiplying both sides by AB and dividing by sin(57°):

AB = 9.2/sin(57°)

Using a calculator, we get:

AB ≈ 10.692

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Answer: See explanation

Step-by-step explanation:

Area of parallelogram: b × h

First one:

b = 20 cm

h = 13 cm

b × h = 20 × 13 = 260

Area = 260 cm²

Second one:

b = 11.4 cm

h = 7.1 cm

b × h = 11.4 × 7.1 = 80.94

Area = 80.94 cm²

Hope I helped!

Answer:

the answer is 5

Step-by-step explanation:

Using the law of sines, supposing C = 30º, the angle of each observer with the sailboat is:

Suppose we have a triangle in which:

The lengths and the sine of the angles are related according to the following rule:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

The measure of angle B is found as follows:

sin(B)/10 = sin(C)/20

sin(B)/10 = 0.5/20 (sin(C) = 0.5)

sin(B) = 5/20

sin(B) = 0.25

B = arcsin(0.25)

B = 14º.

The measure of angle A is found as follows:

sin(A)/25 = sin(C)/20

sin(A)/25 = 0.5/20 (sin(C) = 0.5)

sin(A) = 12.5/20

sin(A) = 0.625

A = arcsin(0.625)

A = 136º.

The problem is incomplete, hence we suppose that the angle C is of 30º and problem asks for the angle measure of each angle.

(drawing is not to scale).

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Answer:

y= 5x+4

Step-by-step explanation:

find the slope 34-9/6-1 = 25/5 = 5

then use y-y1= m (x-x1)

y- 9 = 5(x-1)

y-9 = 5x -5

y = 5x +4

Answer:

Difference in temperature = 25°C

Step-by-step explanation:

Given:

Temperature 1 = -51°C

Temperature 2 = -76°C

Find:

Difference in temperature

Computation:

Difference in temperature = Temperature 1 - Temperature 2

Difference in temperature = -51°C - [-76°C]

Difference in temperature = -51°C + 76°C

Difference in temperature = 25°C

Answer:

84 grams and 5 ounces

Step-by-step explanation:

because one ounce equals 28 grams, that means 3 ounces = 3 * 28 = 84

because 28 grams equals 1 ounce, 140 grams = 140 / 28 = 5 ounces

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

When an attacker uses the "chargen" (Character Generator) and "echo" services together, it result in an amplification attack. To stop this from occurring in a Cisco-router, we can Disable unnecessary services, Network monitoring and Keep router firmware up to date.

The Chargen service generates a stream of characters, while the echo service echoes back the received data. By sending a small request to the chargen service with a spoofed source IP address, the attacker can cause the chargen service to generate and send a much larger response to the victim's IP address.

To stop this from occurring in a Cisco-router, we can implement the following measures:

(i) Disable unnecessary services: Ensure that the chargen and echo services are disabled on the router.

(ii) Access control lists (ACLs): Implement ACLs on the router to block incoming traffic from untrusted or potentially malicious sources.

(iii) Network monitoring and logging: Implement monitoring and logging mechanisms to detect and analyze unusual or suspicious traffic patterns.

(iv) Keep router firmware up to date: Regularly update the router firmware to ensure that security vulnerabilities are patched.

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Answer:

6+6+=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Through six different ways ;

\(1+11=12\\2+10=12\\3+9=12\\4+8=12\\5+7=12\\6+6=12\)

The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.

A pentagonal prism is a prism with five rectangular sides and two top and bottom pentagonal bases. With 7 faces, 10 vertices, and 15 edges, it is a particular form of heptahedron. A pentagonal prism can have five sides due to its pentagonal bases. The pentagonal prism is also called Five-sided polygon prism in other name.

The pentagonal prism is a prism with five rectangular sides and two pentagonal base

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Answer:

The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.

Step-by-step explanation:

hope this helped!

Answer:

about 39%

Step-by-step explanation:

In order to find the percent, you need to find the total amount of games they played first.

9 games + 7 games + 2 games = 18 games total

Divide the number of games they won by the total amount of games they played:

7 games / 18 games = about 39%

P-value of less than 0.05 is typically considered statistically significant, indicating that the relationship between the variables in the regression equation is unlikely to be due to chance.

To find the p-value for the regression equation that fits the given data, you would need to conduct a regression analysis. This involves analyzing the relationship between the variables in the data set and determining whether there is a statistically significant relationship. Unfortunately, the data set you provided does not have any indication of what the variables are or what the regression equation is, so it is impossible to provide a specific answer to your question.
However, if you do conduct a regression analysis and obtain a p-value, you would round your answer to four decimal places as requested in the question. The p-value is a decimal value that represents the probability of obtaining the observed results if the null hypothesis is true. Based on the data provided, we first need to calculate the regression equation. However, the data seems to be presented in an unclear format. Please provide the data as pairs of x and y values, like this: (x1, y1), (x2, y2), (x3, y3), and so on. Once you provide the data in this format, I'll be happy to help you find the p-value for the regression equation, rounded to four decimal places.

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Answer:

-4,-3

Step-by-step explanation:

I think thats right! If not, let me know.

The answer that is not approximately equivalent to one of the metric units is "2 pounds." The metric system does not use the unit of pounds for measuring weight. Instead, the metric unit for weight is the kilogram. One kilogram is approximately equivalent to 2.2046 pounds. Therefore, all the other options (1 mile, 1 quart, 1 yard) have approximate metric equivalents (1.609 kilometers, 0.946 liters, 0.914 meters, respectively), but 2 pounds does not have a direct metric equivalent.

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The formula for the total U.S. consumption of iron ore, T(f), in millions of metric tons, from 1900 until time f (measured since 1980), is T(f) = (1384.615) * (e^(0.013f) - e^(-1.04)).

To determine a formula for the total U.S. consumption of iron ore, we need to integrate the consumption rate function, R(t), over the interval from 1900 until time f. Let's proceed with the calculations.

We have:

Consumption rate function: R(t) = 18e^(0.013t) million metric tons per year

Time measured since 1980 (t=0 corresponds to the year 1980)

To determine the total consumption, we integrate R(t) with respect to t over the interval from 1900 (t=-80) to f (measured in years since 1980).

T(f) = ∫[from -80 to f] R(t) dt

    = ∫[from -80 to f] 18e^(0.013t) dt

To evaluate this integral, we use the following rules of integration:

∫ e^kt dt = (1/k)e^kt + C

∫ e^x dx = e^x + C

Using the above rules, we can evaluate the integral of R(t):

T(f) = 18/0.013 * e^(0.013t) | [from -80 to f]

     = (1384.615) * (e^(0.013f) - e^(-80*0.013))

Therefore, the formula for the total U.S. consumption of iron ore, T(f), in millions of metric tons, from 1900 until time f (measured since 1980) is:

T(f) = (1384.615) * (e^(0.013f) - e^(-80*0.013))

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Answer:

how many are in one box?

Step-by-step explanation:

Answer:

5/6 box

Step-by-step explanation:

confirmed!

Answer:

-20(r-1)

o

-20r+ 20

Step-by-step explanation:

For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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Answer:

2 1/2 = 5/2

Step-by-step explanation:

There is a trick you can do when converting mixed numbers into improper fractions

Multiply the whole number and denominator, in this case you'll do 2 * 2 which equals 4

Finally, add the numberator to your product. For this you'll do 4 + 1 which equals 5

When done, keep the denominator and keep your sum as the numerator. 5/2!

Answer:

The answer is 70 moles

Step-by-step explanation:

For the farmer,

Total no of Moles = 330

No of marked moles with tags = 24

No of unmarked moles = 330 - 24 = 306

Few weeks later,

No of tagged moles found = 18

No of tagged moles not found,

= marked moles with tags - tagged moles found

= 24 - 18 = 6

Therefore, if for every 24 tagged moles, there are 6 moles found,

288 tagged moles = 24 X 12 (lots) = 288

For moles found = 6 X 12 (lots) = 72

To the nearest whole number,

The best estimate for the mole population would be 70 moles

The statement that is NOT true among the options is option (d): "The mean of the standard deviation is 0."

In normally distributed curves, the standard deviation represents the average amount of variation or spread around the mean. The mean of the standard deviation is not fixed at 0; instead, it can vary and is typically a positive value. The standard deviation measures the dispersion of the data points from the mean, so it cannot be negative or zero.

The mean of the standard deviation depends on the data distribution and its characteristics, not on the fact that it follows a normal distribution. The mean of the standard deviation can differ for different populations or samples, reflecting the variability in the data. It is important to note that the mean of the standard deviation is not used as a descriptive measure commonly reported in statistical analysis.

Regarding the other options:

a. The mean of standard scores does vary as a function of the type of standard score. Different types of standard scores, such as T scores or IQ scores, have their own specific means. For example, T scores often have a mean of 50, while IQ scores have a mean of 100.

b. The mean of z scores is always 0. Z scores represent the number of standard deviations a data point is from the mean. By definition, the mean of a z score distribution is always 0, and it has a standard deviation of 1.

c. The percentile rank mean is always p = 50. The percentile rank represents the percentage of scores that fall below a particular value in a distribution. By definition, the median (50th percentile) represents the point where half of the scores fall above and half fall below, resulting in a mean percentile rank of 50.

e. The mean of the publisher type score can vary as a function of the publisher. This statement is plausible as different publishers may have different scoring systems or criteria, leading to variations in the mean of the scores they assign. The mean can differ across publishers due to factors such as their target population, item selection, or scoring methodologies.

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Answer:

(-39/148, -33/37)

Step-by-step explanation:

Let's choose the second equation, 12x + 3 = y, for our substitution.  Substitute (12x + 3) for y in the first equation, obtaining:

8x - 13y = 0  =>  8x - 13(12x + 3) = 0

Next, multiply out -13(12x + 3):  From the above equation we get

                          8x - 156x - 39 = 0

and this simplifies to -148x = 39  or  x = -39/148.

Substitute -39/148 for x in 8x - 13y = 0.  We get:

                              8(-39/148) + 3 = y, so that y = -33/37.

The solution of this system of linear equations is (-39/148, -33/37).

Given:

The three points are (-7,134), (-3,10) and (5,50).

To find:

The equation of parabola using quadratic regression.

Solution:

The general equation of quadratic regression is

\(y=ax^2+bx+c\) ...(i)

The three points are (-7,134), (-3,10) and (5,50).

Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get

\(y=3x^2+(-1)x+(-2)\)

\(y=3x^2-x-2\)

Therefore, the equation of parabola is \(y=3x^2-x-2\) and the missing values in the given equation are 3, -1 and -20.

Answer:

p= 1

Step-by-step explanation:

1,575x5 =p  p=1

The area of ABCD is 62.4ft²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

The area of triangle is expressed as;

A = 1/2bh

The area of ABCD = area ABD + area BDC

cos55 = AD/10

0.57 = AD/10

AD = 0.57 × 10

AD = 5.7

AB = √ 10² - 5.7²

AB = √100 - 32.49

AB = √ 67.51

AB = 8.2

Area = 1/2 × 5.7 × 8.2

= 23.1 ft²

Angle C = 180-( 38+44)

angle C = 180 - 82

C = 98°

Finding DC

sin38/DC = sin98/10

DC = 10sin38/sin98

DC = 6.2/ 0.99

= 6.3

Area = 1/2absinC

= 1/2 × 6.3 × 10× sin98

= 62.4ft²

Therefore area of ABCD

= 62.4 + 23.1

= 85.5 ft²

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