What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
a.) -15/2
b.) -2/15
c.) 2/15
d.) 15/2

Answer

In order to complete the equation we need to use this method :      

Future Amount = I(1+r)^t

I=Initial Amount

R=Growth rate

T=Time periods

Now that we know that....

Time for some fun :)

You started with $2,000 so

Future Amount = 2,000(1+r)^t

The growth rate is 26% so we have to convert to decimal so

Future Amount=2,000(1+.26)^t

Time period is 26% every 3 years and you want to see how much money would you have after 45 years so you do 45/3=15

Future Amount=55(1+.73)^15

Hope this helps!!!!!!!

Step-by-step explanation:

Answer:

Investments increase exponentially by about 26% every 3 years. If you made a $2,000 investment, how much money would you have after 45 years?

Mariah I'm afraid you made a little mistake lol....

Future Amount=2,000(1+0.26)^15

But yes the answer is:

64,060

Step-by-step explanation:

The organization that offers coverage on properties in areas of Florida deemed especially susceptible to windstorm damage is the Florida Windstorm Underwriting Association (FWUA), also known as Citizens Property Insurance Corporation.

The Florida Windstorm Underwriting Association (FWUA) is an organization established by the state of Florida to provide property insurance coverage for individuals in high-risk areas specifically prone to windstorm damage. The FWUA operates under the name Citizens Property Insurance Corporation.

1. Recognizing the need for coverage: Given the susceptibility of certain areas in Florida to windstorm damage, there is a need for specialized insurance coverage to protect property owners in those regions.

2. Creation of the Florida Windstorm Underwriting Association (FWUA): The state of Florida established the FWUA as an organization dedicated to providing insurance coverage for properties located in these high-risk areas.

3. Role of Citizens Property Insurance Corporation: The FWUA operates under the name Citizens Property Insurance Corporation, which offers coverage on properties in these vulnerable regions.

By offering coverage specifically tailored to windstorm damage, the FWUA (Citizens Property Insurance Corporation) helps protect property owners in areas of Florida prone to such risks, providing them with the necessary insurance coverage for their properties.

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Answer:

True

Step-by-step explanation:

Square root is a number that can be multiplied by itself , 8 × 8 is 64 , making it true.

Research has shown that when administering a survey, respondents who are asked questions in which they have little or no knowledge are likely to respond with inaccurate or incomplete information.

This can happen due to several reasons, such as the respondents feeling embarrassed or ashamed of admitting their lack of knowledge, or simply guessing the answer to avoid appearing uninformed. Graeff's (2003) study highlights the importance of carefully designing survey questions to ensure that they are clear and easy to understand for all respondents, regardless of their level of knowledge on the topic. It is also important to provide respondents with options such as "I don't know" or "Not applicable" to encourage honest and accurate responses. Administering surveys can be a valuable tool for gathering information, but it is crucial to consider the limitations and potential biases that may arise. Conducting thorough research and using appropriate survey methods can help to ensure that the data collected is reliable and useful for making informed decisions.

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To obtain the sampling distribution (likelihood) and the posterior distribution for this scenario, we can use Bayesian inference.

The sampling distribution (likelihood) can be represented as:

p(y|u,02) = (1/sqrt(2*pi*02)^n) * exp(-(1/(2*02)) * sum((yi-u)^2))

where y is the observed data, u is the mean of the normal distribution, and 02 is the variance of the normal distribution.

The non-informative prior for 02 can be represented as:

p(02) « 1/02

Using Bayes' theorem, we can obtain the posterior distribution:

p(u,02|y) = p(y|u,02) * p(02) / p(y)

where p(y) is the marginal likelihood. To simplify the calculation, we can integrate out u from the joint distribution:

p(02|y) = (p(y|02) * p(02)) / p(y)

where p(y|02) is the marginal likelihood for 02:

p(y|02) = (1/sqrt(2*pi*02)^n) * exp(-(n-1)/2)

We can then obtain the posterior distribution for 02:

p(02|y) « 1/02 * exp(-(n-1)/2)

This is a gamma distribution with shape parameter (n-1)/2 and scale parameter 1/2. Therefore, the posterior distribution for 02 is:

02|y ~ Gamma((n-1)/2, 1/2)

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Refer to the attached image. Please rate! Thanks.

Answer:

Angle 1 is 132 and angle 2 is 48

Step-by-step explanation:

Since 132 plus 18 make the 180 line.

The probability of SS is 1/4, The probability of SG is 1/4, The probability of GS is 1/4, The probability of GG is 1/4.

Likelihood is simply the possibility that an event will occur. We can discuss the likelihood of one outcome or the possibility of multiple outcomes because we don't know how something will turn out. Statistics is the study of events that fall into a probability distribution. Probability is the study of random events in mathematics, and it can be classified into four main categories: axiomatic, classical, empirical, and subjective. The mathematical foundation that enables a rational analysis of random events is known as probability theory. An event's probability of occurring is a numerical indicator of how likely it is that the event will take place. This value always falls within the range between 0 and 1, with 0 denoting impossible and 1 indicating confidence.

First    Second   Outcome   Probability

S            S              SS            1/4

S            G              SG           1/4

G            S              GS           1/4

G            G              GG          1/4

The probability of SS is 1/2*1/2= 1/4.

The probability of SG is 1/2*1/2= 1/4.

The probability of GS is 1/2*1/2= 1/4.

The probability of GG is 1/2*1/2= 1/4.

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The equivalent of the radical expression (√2 + √5) / (√2 - √5) is -(7 + 2√10)/3 in its simplest form

An equation shows the relationship between two or more numbers and variables.

Given the surd:

(√2 + √5) / (√2 - √5)

Multiplying through by the conjugate surd, that is √2 + √5

= [(√2 + √5) / (√2 - √5)] * [(√2 + √5) / (√2 +√5)]

= (2 + 2√10 + 5)/(2 - 5)

Further simplifying:

= -(7 + 2√10)/3

The equivalent of (√2 + √5) / (√2 - √5) is -(7 + 2√10)/3

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From the information given in the statement you know that:

*a is the amount of money Thomas needs to save

*Thomas needs to save more than $ 50.45.

Then, the inequality that models the amount Thomas needs to save is

Answer:

x= 1 ±√21/3

x= 2.52753

x= - 0.527525

Step-by-step explanation:

-(-6) ±√-6² - 4 (3) (-4) / 2(3)

6±√36 -(-48) / 6

6±√84/6

6±2√21/6

6/6 ±2√21/6

1±√21/3

1+ √21/3 = 2.52753

1-√21/3= - 0.527525

Step-by-step explanation:

\(3x ^{2} - 6x - 4 = 0\)

\(by \: quadratic \: formula\)

\((-b±√(b²-4ac))/(2a) \)

\( - ( - 6)±√( - 6²-4(3)( - 4) /(2 \times 3) \)

\((6±√(36 + 48)/(6) \)

\((6±√(84)/(6) \)

\((6±2√21)/6\)

\(2(3±√21)/6 \)

\(3±√21/3\)

\(let \: \alpha \: and \: \beta \: be \: two \: roots \: .\)

\(3 + \sqrt{21} /3\)

\(3 + 4.58/3\)

\(7.48/3\)

\(2.52\)

\(and \: second \: root \: = 3 - \sqrt{21} /3\)

\(3 - 4.58/3\)

\( - 1.58/3\)

\( - 0.52\)

\(so \ \: alpha = 2.52 \: and \: \beta = - 0.52\)

To determine if a point is on the market supply curve, we need to check if it satisfies both supply functions.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

Let's evaluate each option:

a. P = 32.00, Q = 61.14

Using supply 1: P = 6 + 0.7(61.14) = 48.80

Using supply 2: P = 16 + 0.6(61.14) = 52.68

Neither supply function matches the given point, so it is not on the market supply curve.

b. P = 11.00, Q = 7.14

Using supply 1: P = 6 + 0.7(7.14) = 10.00

Using supply 2: P = 16 + 0.6(7.14) = 20.28

Neither supply function matches the given point, so it is not on the market supply curve.

c. P = 16, Q = 14.29

Using supply 1: P = 6 + 0.7(14.29) = 15.00

Using supply 2: P = 16 + 0.6(14.29) = 24.57

Both supply functions match the given point, so it is likely on the market supply curve.

d. P = 24.00, Q = 39.05

Using supply 1: P = 6 + 0.7(39.05) = 33.34

Using supply 2: P = 16 + 0.6(39.05) = 39.43

Both supply functions match the given point, so it is likely on the market supply curve.

Based on the analysis, the most likely point that is not on the market supply curve is option a. P = 32.00, Q = 61.14.

Answer:

Yes, it is true by AAS theorem.

The triangles ΔMNP and ΔQRS are congruent triangles

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be ΔMNP

Now , let the second triangle be ΔQRS

where the measure of angle ∠MNP = measure of angle ∠QRS = 90°

And , the measure of side NP = measure of side RS

And , the measure of ∠NPM = measure of angle ∠RSQ

So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent by ASA theorem

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When you convert 5/13 to a decimal, the result is 0.38.

A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. In mathematics, a fraction is used to represent a portion or part of a whole. It symbolizes the equal parts of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, and the bottom number is known as the denominator.

Here,

We can use the division method to solve this question. To get a decimal, simply divide the numerator 5 by the denominator 13:

5 (numerator) ÷ 13 (denominator) = 0.38

When you convert 5/13 to a decimal, you get 0.38 as your answer.

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Step-by-step explanation:

2x 3x5 = 30 ÷ 3 = 10

hope this helps

1,403 is greater than 1.4​.

Because any number of zeros can be added to the end of a decimal, 1.4 is the same as 1.400. Although 1.400 and 1.403 are not equal, you may round 1.403 down to 1.4 because the difference is only 0.003, or three thousandths, of a unit.

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Factoring the roots, the values of A and B are given as follows:

The expression is:

\(\sqrt{\frac{45\alpha z^3}{40y}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}\)

We have that:

\(\frac{45}{40} = \frac{9}{8}\)

Hence:

\(\sqrt{\frac{45\alpha z^3}{40y}} = \sqrt{\frac{9\alpha z^3}{8}} = \sqrt{\frac{9\alpha z^2 \times z}{4 \times 2}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}\)

Hence, comparing the last two equalities:

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The range of the given function is:

Function  \(x^-^1\) may take any real number hence it's range is all real numbers.

Now, According to the question:

What is Range?

The given function is :

f(x) = \(x^-^1\)

The range of the given function is:

Function  \(x^-^1\) may take any real number hence it's range is all real numbers.

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Answer:

Step-by-step explanation:

The ratio of corresponding sides of similar figures is same:

Answer: x=10

Step-by-step explanation: correct test results

When you add -1/4 to itself four times, you get: -1
When you multiply -1/4 by 4, you also get: -1.
Yes, both the results are same which is: -1.

To answer your question, let's break it down into two parts:

1. What do you get if you add -1/4 to itself four times?
To find the answer, you simply add -1/4 four times:
(-1/4) + (-1/4) + (-1/4) + (-1/4) = -1

2. What is -1/4 × 4?
To multiply -1/4 by 4, you perform the multiplication:
(-1/4) × 4 = -1

In conclusion, when you add -1/4 to itself four times, you get -1, and when you multiply -1/4 by 4, you also get -1.

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Answer:

When x=4, ln x-ln y=y-4, so ln 4-ln 4=4-4, which is true. Therefore, when x=4, y=4, and dy/dx=0.

Step-by-step explanation:

So, when x = 4, the value of the differentiable function dy/dx is 0.

A differentiable function of one real variable is one that has a derivative at each point in its domain. In other words, a differentiable function's graph has a non-vertical tangent line at each interior point in its domain.

Here,

Given the equation ln x - ln y = y - 4, we can rearrange it to get ln(x/y) = y - 4. Taking the derivative of both sides with respect to x using the chain rule:

d/dx (ln(x/y)) = d/dx (y - 4)

(1/x) (dx/dx) - (1/y) (dy/dx) = dy/dx

dy/dx = (1/y) (dx/dx) + (1/x) (dy/dx) = (1/y) + (1/x) (dy/dx)

Rearranging and solving for dy/dx:

(x/y) (dy/dx) = (1/y) - (1/x)

dy/dx = (x/y^2) (1/x - 1/y) = (x/y^2) (1/x - 1/y)

We can substitute x = 4 and y = 4 into the expression to find the value of dy/dx when x = 4:

dy/dx = (4/16) (1/4 - 1/4) = 0

So, the value of differentiable function dy/dx when x = 4 is 0.

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Answer:

15

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

you divide 27 by 2 and get 13.5

The speed v[t] is always a positive value, since it's the magnitude of the velocity vector.

The velocity of the motion at time t is given by V[t] = x'[t], which is the derivative of the position function x[t] with respect to time.

To compute v[t], you take the square root of the magnitude of V[t], which is given by:

v[t] = |V[t]| = sqrt(|x'[t]|) = sqrt(sqrt[t] * |V[t]|)

Here, the square root of t is taken as a weighting factor for the velocity, which means that the speed increases with time. The speed v[t] is always a positive value, since it's the magnitude of the velocity vector.

Note that this formula assumes that the motion x[t] is differentiable, which means that the velocity V[t] is well-defined and continuous. If x[t] is not differentiable, then the velocity V[t] may not exist, and this formula wouldn't apply.T

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When a plane is inclined at a 45-degree angle and intersects a cylinder's base along its diameter with radius "r," it results in the division of the cylinder into two identical right circular cones.

Imagine a cylinder with a radius "r."

The plane passes through the cylinder's base, creating a line that bisects the circular base into two equal halves.

This intersection between the inclined plane and the cylinder forms a cross-section that resembles an isosceles right triangle.

By symmetrically splitting the cylinder along its central axis, the inclined plane generates two congruent right circular cones, each with a 45-degree angle at its apex. The curved line formed by the intersection represents the boundary between the two cone halves.

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Answer:

Step-by-step explanation:

There are two bases of 3x4 and 4 sides of 2x4

Total surface area is:

Answer:

5 x m = 55

Step-by-step explanation:

This is because 55 is the product and this means multiplication and 5 x something is 55

10 boxes will be required by the printing company

Company can fit 7000 calendars in 1 box

7000 calendars = 1 box

1 calendar = 1/7000

70000 calendar = 1/7000 * 70000

= 10 boxes

10 boxes will be required by the printing company

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Answer:

1.13 ft

Step-by-step explanation:

use the equation then fill in the missing values. when you have your answer round to the nearest thousandths.