Five years ago, a house was purchased for 123,500. This year it was appraised at 185,000.
Question: Find the average rate of change. Then use it to estimate the value of the house in 7 years.

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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He has insurance in case of an accident.

Insurance, in legal and financial terms, is a form of risk management, used primarily to protect against the risk of potential financial losses.

Ideally, it is defined as the fair transfer of risk of potential loss from one entity to another in exchange for a reasonable fee. In practice, however, the insurance protection business often results in litigation between the parties concerned.

Generally, it is a contract in which one party agrees to pay for the financial losses of another party as a result of a specified event.

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Answer:

A

Step-by-step explanation:

he has insurance in case of an accident

Answer: 140°

Step-by-step explanation:

look at the little number

Answer:

271

Step-by-step explanation:

256 + 47=303

303 - 32= 271

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Answer:

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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.

Approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years.

This means that \(\mu = 66.3, \sigma = 3.6\)

Sample of 9:

This means that \(n = 9, s = \frac{3.6}{\sqrt{9}} = 1.2\)

What is the probability that the average age at death of these nine participants will exceed 68 years?

This is 1 subtracted by the pvalue of Z when X = 68. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{68 - 66.3}{1.2}\)

\(Z = 1.42\)

\(Z = 1.42\) has a pvalue of 0.9222

1 - 0.9222 = 0.0778

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

Answer:

The answer is 31 how that help

The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;

Given:

Hannah makes 5 out of 8 attempted free-throws.

Now,

The average waiting time of hannah to make her first basket is 5/8

The probability of hannah making basket at her last attempt is 1/8

The probability of hannah making basket before her last attempt is 2/8

Hence, the probabilty will be 1/8 and 2/8;

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Answer:

40 girls

Step-by-step explanation:

To get the number of girl students, we first do 48 divided by 6 to get 8. Then we do 8 x 5 to get 40.  

Given that 5 6/4 x 8 9/6

Firstly, we need to convert the mixed fraction into improper fractions

Answer:

1728 and 168

Step-by-step explanation:

I multiple

Answer:

Always be equal to twice the number of pizza crusts made by the diner.

(I got this same question and got it right so)

Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2

Step-by-step explanation:

You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about

for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'

in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)

as such the line x = 4 will cut the function f(x) in 'half'

The principal value is $150.

We have the following values -

rate of interest - 4%

Time period = 6 months = 0.5 year

Simple interest = $36

We have to find the principal value.

The simple interest can be calculated using the formula -

S.I. = \(\frac{P\times r\times t}{100} \\\)

The above expression can be written in terms of principal value as -

\(P = \frac{100\times S.I.}{r\times t}\)

We can use the above formula in the question given - Using the formula for principal value we get -

P = \(\frac{100 \times36}{4\times 0.5}\)

P = \(\frac{3600}{2}\)

P = $1800

Hence, the principal value is $150.

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Answer:

2 cups of milk i think

sorry if not right

Step-by-step explanation:

Answer:

2 cups of milk (equivalent)

Step-by-step explanation:

If it's eight cups and there's a quarter of milk in Anne's chocolate, then:

\((8)(\frac{1}{4}) =\frac{8}{4} =2\)

Hope this helps

Answer:

here this should be right

Answer:

try 21 x 21 plus 21 divided by 21 then add 21 x 21

Step-by-step explanation:

easy math

Answer:

\(y=7x-33\)

Step-by-step explanation:

\(m=\frac{9-(-5)}{6-4}\\m=\frac{14}{2}\\m=7\\y=7x+b\\b=-5-(7)(4)\\b=-33\\y=7x-33\)

Answer:

\( 2^{2x + 2} = 2^{4x - 4} \)

Step-by-step explanation:

\( 4^{x + 1} = 16^{x - 1} \)

\( 2^{2(x + 1)} = 2^{4(x - 1)} \)

\( 2^{2x + 2} = 2^{4x - 4} \)

The diameter of a tree grows a certain amount each year. If the tree's growth is constant, meaning that the amount the tree grows is the same each passing day, then the tree's growth can be expressed as an arithmetic sequence:

xₙ=a+d(n-1)

Where

xₙ represents the tree growth for the nth year

a is the initial diameter of the tree

d is the common difference, and represents the amount that the tree's diamenter increases each year

(n-1) represents any number in the sequence except the first one.

To determine the common difference you have to calculate the difference between any value of the sequence and the number below:

This means that the increase of the diameter of the tree is 0.3 inches each year.

For the third value of the sequence (2nd year) the tree diameter is:

And for the fifth value in the sequence (4th year) the tree diameter is

Tan x = opposite side / adjacent side

opposite side: 21

Adjacent side: 28

Replacing:

Tan x = 21/28

Answer:

The option B, c2=a2+b2−2ab• cos(B) is the right answer.

Answer:

The answer to the equation should be C

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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Answer: The answers are in the steps.Please check carefully because I represented the questions with letters A to C.

Step-by-step explanation:

We already know how much Ian's fish weighed but to find his father's we will need to multiply 5/2  by 1/4  because his father's fish weighed a quarter of his.

5/2 * 1/4  =  5/8  

To compare them convert them into decimals.

5/8 = 0.625      

5/2 = 2.5  

2.5 is indeed greater than 0.625.

A)  Ian's fish was heavier that his dad's.

B)  5/2 * 1/4 = 5/8

C) Ian's dad's fish weighs 5/8 pounds.

Answer:

= 9

Step-by-step explanation:

1/2 (12) +3 = 9

Hope this helps!

Answer:

0.03 square meters

Step-by-step explanation:

1. convert 20 cm, 15 cm into m by dividing the number by 100 then you got 0.2 m and 0.15 m respectively

2. calculate the area by multiply 2 numbers together

0.2 × 0.15 = 0.03 square meter

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

the number has 2 resumable 6+5