A house cost $87,000 in 2008. By the year 2015, the home's value was $110,000. What was the growth rate for that 7-year period?
a)3.30%
b)3.40%

Answer:

I could try to help but I can't see the stuff on the chart

Answer:

deductive

Step-by-step explanation:

Answer:

0010110010100100001010010010101010010101010010010

001010010010100010010101000001010000101001010010

Respuesta en número binarios

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer:

-13/10

Step-by-step explanation:

It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

Answer:

The answer is A -60

Step-by-step explanation:

u soppost to multiply 5×-12

Term life insurance typically costs a lot less than its permanent life counterparts, whole life, and universal life, despite the fact that they offer much of the same coverage. This is mainly due to the policy's length, which can range from 5 to 30 years.

The life insurance provider calculates your premiums based on your age, health, and risk factors over the duration of the policy. This makes the term policy less expensive than permanent life policies that offer lifelong protection.Life insurance firms, on the other hand, can make a profit from term life policies since they are only intended to cover a person for a set period, and if the insured does not pass away during that period, the life insurance provider will not have to pay out a death benefit, allowing them to keep the premium payments as profit. This is in contrast to permanent life policies, which are intended to cover a person for the rest of their life, thus the provider will need to pay out a death benefit at some point, resulting in higher premiums.

Term life insurance is a type of life insurance that covers the policyholder for a certain period. This type of policy is usually cheaper than permanent life insurance policies like whole life and universal life. Term policies are less expensive because they cover you for a fixed period, usually between five and thirty years, so the insurance company knows that they will only have to pay a death benefit if you die during the term period.Term life insurance premiums are determined by your age, health, and the term of the policy. Insurance companies calculate the risk that you will die during the policy period and base your premiums on that risk. Because the policy period is limited, term life policies are less expensive than permanent life insurance policies that offer lifelong protection. An insurance company is willing to offer term life insurance at a lower cost because they know that if you don't die during the term, they get to keep the premiums you paid.

Term life insurance is a cost-effective alternative to permanent life insurance policies. It is less expensive because it is designed to cover you for a specific period, which means that the insurance company only has to pay a death benefit if you die during that period. The insurance company can offer term life insurance at a lower cost because they know that if you don't die during the term, they get to keep the premiums you paid.

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Answer:

A: (8,5)

B: (6,4)

C: (3,1)

D: (2,4)

E: (6,3)

F: (7,5)

Step-by-step explanation:

Playground(x)

Picnic areas(y)

Plot: (x,y)

A: (8,5)

B: (6,4)

C: (3,1)

D: (2,4)

E: (6,3)

F: (7,5)

The scatter plot visually represents the distribution of playgrounds and picnic areas in Chelsea's hometown parks is illustrated below.

The scatter plot we've created displays six data points, with the x-axis representing the number of playgrounds and the y-axis representing the number of picnic areas. Each data point corresponds to one of the parks in Chelsea's hometown, showing the specific number of playgrounds and picnic areas present in that particular park. By visually analyzing the plot, we can draw several conclusions about the distribution of these amenities:

Clustering: The data points on the scatter plot may exhibit clustering, indicating that certain parks have similar numbers of playgrounds and picnic areas. This clustering could imply a deliberate urban planning strategy, where parks with similar features are grouped together.

Outliers: Outliers, if present, would be data points significantly different from the majority. These points might represent parks that offer an unusually high or low number of playgrounds and picnic areas compared to the others.

Correlation: By observing the general trend of the data points, we can identify whether there is a correlation between the number of playgrounds and picnic areas. If the points tend to align in a linear or non-linear pattern, it suggests a relationship between these two variables.

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The solution of the trigonometric equation is θ = π/6 radian

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

2cosθ = √3

Divide both sides by 2:

cosθ = (√3)/2

θ = cos⁻¹[(√3)/2]

θ = 30°

Convert 30° to radian by multiplying it with π/180. That is:

θ = 30 × π/180

θ = π/6 radian

Thus, the solution is θ = π/6 radian

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It takes the diver 5 s to reach the water.

These are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)

Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.

The diver reaches the top of the water when f(x) = 0.

So, equating f(x) to zero, we have

f(x) = 0

-2(x-5)(x+1) = 0

Dividing through by -2, we have

(x-5)(x+1) = 0

So, (x - 5) = 0 or (x + 1) = 0

x = 5 or x = -1

Since time cannot be negative, x = 5 s.

So, it takes the diver 5 s to reach the water.

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Answer:

Correct.

Step-y-step explanation:

Answer:

√3 + 1

Step-by-step explanation:

Step below are self-explanatory

Converges; the series is a constant multiple of a geometric series. Option A

The given series can be written as:

\(\sum n=1 to \infty 4^{(n+1)} * 5^{(-n)\)

= \(4 * \sum n=1 to \infty (4/5)^n\)

This is a geometric series with first term a=4 and common ratio r=4/5. The series converges if and only if |r| < 1. Here, |r| = 4/5 < 1, so the series converges.

The sum of a convergent geometric series with first term a and common ratio r is given by:

sum = a / (1 - r)

Applying this formula, we get:

sum = 4 / (1 - 4/5) = 4 * 5 = 20

Therefore, the given series converges to 20.

The correct answer is option (a) Converges; the series is a constant multiple of a geometric series.

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Answer: Ray HF is opposite of Ray FH

Step-by-step explanation:

The product in scientific notation is 1.36 x 10^22

The product expression is given as:

3.2 x 1012 and 4.25 x 109

Express the product, properly

3.2 x 10^12 x 4.25 x 10^9

Regroup the factors

3.2  x 4.25 x 10^12 x 10^9

Evaluate the product

13.6 x 10^21

Rewrite as:

1.36 x 10^22

Hence, the product in scientific notation is 1.36 x 10^22

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Answer:

c 1.36 x 1012

explanation:

The answer is here:

x= -100

y= 100

Answer:

x= -100

y= 100

Step-by-step explanation:

The range of the function f(x) = 4x + 9 is R = {-7, 1, 9, 17}. Option D is the correct option.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Given function is f(x) = 4x + 9.

The domain of the function is  D = {-4, -2, 0, 2}.

To find the rage of the function putting x = -4, -2, 0, 2 in the given function:

When x = -4

f(-4) = 4(-4) + 9

f(-4) = -16 + 9

f(-4) = -7

When x = 0

f(0) = 4(-0) + 9

f(0) = 0+ 9

f(0) =9

When x = 2

f(2) = 4(2) + 9

f(2) = 8 + 9

f(2) = 17

The set of the value of f(x) at  x = -4, -2, 0, 2 is the range of the function.

The range of the function is R = {f(-4), f(-2), f(0), f(2)} = {-7, 1, 9, 17}

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Step-by-step explanation:

this is the required ans

4(x-5)=92

X+100=128

3x=84

2x=56

(a) The logistic model function for the total number of labor hours can be obtained by fitting the given data points into a logistic growth equation. This equation takes the form f(x) = a / (1 + be^(-cx)), where x represents the number of weeks after construction begins. By solving a system of equations using the given data points, the parameters a, b, and c can be determined and plugged into the logistic model equation.

1. Use the data points (1, 23) and (19, 10,099) to set up the following equations:

  23 = a / (1 + be^(-c))

  10,099 = a / (1 + be^(-19c))

2. Solve this system of equations to find the values of a, b, and c, which will be used to construct the logistic model function.

(b) The derivative equation for the logistic model can be obtained by differentiating the logistic model function with respect to x. This derivative equation will represent the rate of change of the total number of labor hours with respect to the number of weeks.

1. Differentiate the logistic model function f(x) = a / (1 + be^(-cx)) with respect to x.

2. Simplify the derivative equation to obtain the expression for f'(x), which represents the rate of change of labor hours with respect to weeks.

(c) To determine when the cumulative number of labor hours is increasing most rapidly, we need to find the maximum of the derivative function f'(x). Set f'(x) equal to zero and solve for x to identify the point where the rate of increase in labor hours is highest.

(d) To determine when the second job should begin, we need to find the point where the rate of increase in labor hours for the first job starts to decrease. This can be done by analyzing the derivative function f'(x). The second job should ideally begin at this point to ensure optimal scheduling.

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Answer:

You can visualize this easily.

y=f(x+h)

Now if the argument of the function is taken as (x−h) the value of y will be f((x−h)+h)=f(x)  

The function y acquires the value of f(x) at (x−h) amounting to a left shift.

Hope this makes things clear.

Step-by-step explanation:

===========================================================

Explanation:

Lets go through the points one by one

So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality

\(y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5\)

We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.

\(y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\\)

That's also true. Therefore, the point (5,3) is a solution to the system overall.

Your teacher wants you to find a non-solution, so we must cross choice A off the list.

---------------------

Let's now try choice B. We have x = 4 and y = 3

\(y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3\)

That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.

the dimensions of the dumpster that will minimize its surface area

length l = 6.32

width w =  1.58

height h = 0.39

Length = l

width = w

height = h

given that length is four times its width

l = 4w

Now, the formula for the surface area of a cube is;

S = 2lh + 2lw + 2wh

substitute l = 4w in the above equation

S = 2(4w)h+2(4w)w+2wh

S = 8wh+8\(w^{2}\)+2wh

S = 10wh + 8\(w^{2}\)

formula for the volume of a cube is;

V = lwh

now substitute l=4w in the above equation

V = (4w)wh

V = 4\(w^{2}\)h

h = 4\(w^{2}\)/V

Put V/2w² for h in the surface area equation to get;

S= 8w² + 10w(V/4w²)

 = 8w² + 5V/2w

given that volume V = 25.6 substitute that in the above equation

S = 8w² + 5(25.6)/2w

  = 8w² + 128/2w

Since we want to minimize the surface area, let us find the first derivative of S to get;

S' = 16w - 128/2w²

At S' = 0

0 = 16w-  128/2w²

16w =  128/2w²

32w³ = 128

w³ = 128/32

w³ = 4

w = \(\sqrt[3]{4}\)

w = 1.58 yds

since l = 4w substitute the value of w in that

l = 4(1.58) = 6.32

h = 4\(w^{2}\)/V = 4(\(1.58^{2}\))/25.6

h = 0.39

the dimensions are

length l = 6.32

width w =  1.58

height h = 0.39

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Answer:

0.09375

Step-by-step explanation:

A simple random sample of M&M plain candies weights (in grams) is given by the accompanying data.

A frequency histogram should be used to determine the distribution of weights of M&Ms. The mean and median will be determined. Finally, the better measure of central tendency to describe the weight of a plain M&M will be determined.A histogram, which is a graphical representation of data distribution, is a helpful method to display the weights of M&M plain candies. In a histogram, the frequency of occurrences of observations falling within a given category is depicted on the vertical axis, and the categories are listed on the horizontal axis.The shape of the distribution of weights of M&Ms will be determined from the histogram. The mean and median of the M&M weights will be calculated. The best measure of central tendency that describes the weight of an M&M will be determined by comparing the mean and the median.

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a) The equation of plane is x − y = 1. ; b) The equation of the plane is -3x + y = -2. ; c) The equation of the plane is x + 2y + 3z = 27. ; d) The equation of the plane is -8x + y = -18.

(a) Find an equation for the plane that is perpendicular to v = (1, 1, 1) and passes through (1, 0, 0).The equation of a plane can be represented in the form of Ax + By + Cz = D.

We have the following information:Vector v = (1, 1, 1)Point P = (1, 0, 0)To find the normal to the plane, we need to calculate the cross product of vector v and a vector that connects the given point and any other point on the plane: 0 = (y − 0) + (z − 0) implies y + z = 0.The normal vector is (1, -1, 0).

So the equation of the plane is:1(x) − 1(y) + 0(z) = D1(1) − 1(0) = D1 = D

(b) Find an equation for the plane that is perpendicular to v = (2,6, 9) and passes through (1, 1, 1).The equation of a plane can be represented in the form of Ax + By + Cz = D. We have the following information:

Vector v = (2, 6, 9)

Point P = (1, 1, 1)

To find the normal to the plane, we need to calculate the cross product of vector v and a vector that connects the given point and any other point on the plane.So, the normal vector is (-3, 1, 0).

(c) Find an equation for the plane that is perpendicular to the line 1(t) = (9,0, 6) + (2, -1, 1) and passes through (9, -1,0).The equation of a plane can be represented in the form of Ax + By + Cz = D.

We have the following information:Point P = (9, -1, 0)Vector v = (2, -1, 1)

To find the normal to the plane, we need to calculate the cross product of vector v and a vector that connects the given point and any other point on the plane.

So, the normal vector is (1, 2, 3).

(d) Find an equation for the plane that is perpendicular to the line l(t) = (-3, -6, 8) + (0, 8, 1) and passes through (2, 4, -1).The equation of a plane can be represented in the form of Ax + By + Cz = D.

We have the following information:Point P = (2, 4, -1)Vector v = (0, 8, 1)

To find the normal to the plane, we need to calculate the cross product of vector v and a vector that connects the given point and any other point on the plane.So, the normal vector is (-8, 1, 0).

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Probably b

Sorry if its wrong tho

The correct linear parent function is,

⇒ y = x

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find the linear parent function.

Now, We know that;

A line is of the form x to the first power.

Here, 1/x is not x to the first power and makes a curve.

And, |x| makes a v shape

Also, x³ is a curve.

Hence, The correct linear parent function is,

⇒ y = x

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Given:

Consider the given function is:

\(P(t)=4000(1.2)^t\)

To find:

a. The type of exponential function (growth or decay).

b. Percentage change in population.

c. Population after 5 years.

Solution:

a. The general exponential function is:

\(P(t)=P_0(1+r)^t\)          ...(i)

Where, \(P_0\) is the initial population and r is the rate of change in decimal.

If r<0, then the function represents exponential decay and if r>0, then the function represents exponential growth.

We have,

\(P(t)=4000(1.2)^t\)

It can be written as:

\(P(t)=4000(1+0.2)^t\)          ...(ii)

On comparing (i) and (ii), we get

\(P_0=4000\)

\(r=0.2\)

Since r>0, therefore the given function represents exponential growth.

b. From part (a), we have

\(r=0.2\)

So, the rate of change in the population is 0.2. Multiply is by 100 to get the percentage change in population.

\(r\%=0.2\times 100\)

\(r\%=20\%\)

Therefore, the yearly percentage change in population is 20%.

c. We have,

\(P(t)=4000(1.2)^t\)

Substitute \(t=5\) in the given function to find the population living on the island after 5 years.

\(P(5)=4000(1.2)^5\)

\(P(5)=4000(2.48832)\)

\(P(5)=9953.28\)

\(P(5)\approx 9953\)

Therefore, the estimated population living on the island after 5 years is 9953.

Answer:

204.8 i think here's the work

Step-by-step explanation:

5yd* 13yd= 65yd

65yd*π=204.75

204.75 rounded is 204.8