you are thinking of buying a six-acre lot for $70,000. the lot will be worth $100,000 in five years. 1. should you buy the lot if i = 0.05 ? 2. should you buy it if i = 0.10 ?

The percentage of the company she owns after selling its specific parts is equivalent to 41.66%.

In mathematics →

Given is that an entrepreneur sells of 1/2 her company to one buyer and 1/6 to another buyer.

Assume that the amount of company left in percentage is equivalent to {R%}. Let the complete company be represented by 100%. The remaining percent of company after selling half of it can be written as -

100 - {1/2 x 100} = 100 - 50 = 50%.

The remaining percent of company after selling 1/6 of it can be written as -

{R%} = 50 - {1/6 x 50} = 50 - 8.34 = 41.66%
{R%} = 41.66%

Therefore, the percentage of the company she owns after selling its specific parts is equivalent to 41.66%.

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{Complete question is given below -

An entrepreneur sells 1/2 of her company to one buyer and 1/6 to another buyer. What percent of the company does she have left?}

Step-by-step explanation:

strange, you solved much more complicated questions. this here is just to calculate a formula with the given parameters.

the only tricky thing, maybe : the % are to be used as decimal (4.5% = 0.045).

so, the balance after 15 years (compounded quarterly, so n = 4) is

3500×(1 + 0.045/4)^(4×15) = 3500×(1.01125)⁶⁰ =

= 3500 × 1.956645179... = 6,848.258127... ≈

≈ $6,848.26

The correct answer is 100.48 degrees = 628π/1125 radians

Here is how to calculate 100.48 degrees to radians. The math to convert 100.48 degrees to radians, is as follows:

degrees in radians, we multiply degrees by π and divide by 180. The formula for conversion of degrees in radians: (degrees × π) ÷ 180 = radians. 100.48 degrees in our formula, we get 100.48 degrees in radians as follows:

(degrees × π) ÷ 180 = radians

(100.48 × π) ÷ 180 = 64251 0/4.4.

48 degrees = 628π/1125 radial

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As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

If there is a low supply and a high demand, there is an increase in price and vice versa.

Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

For example we can use water. If a product becomes scarce its price would increase due to supply in demand.

If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.

In short,  if there is a low supply and a high demand, there is an increase in price and vice versa.

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The volume of the square pyramid that has a side length of 7 and a height of 21 is calculated as: 343 units³.

A square pyramid is a type of pyramid that has a square base and four triangular faces.

The volume of a square pyramid can be calculated using the formula expressed as:

Volume (V) = 1/3(a²)(h), where a is the length of a side and h is the height of the square pyramid.

Given:

Side length (a) = 7 units

Height of the square pyramid = 21 units

Substitute

Volume (V) = 1/3(7²)(21)

Volume (V) = 1/3(49)(21)

Volume (V) = 1(49)(7)

Volume = 343 units³

Therefore, the volume of the square pyramid that has a side length of 7 and a height of 21 is calculated as: 343 units³.

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As a result, -34b+18 is the expression that equals 8(2.25-4.25b).

A mathematical expression is made up of a statement, at least one mathematical operation, and at least 2 numbers or variables. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: An expression is (Number/Variable, Math Operator, Number/Variable).

Let's condense that given expression and contrast it with the others.

8(2.25 - 4.25b) = 18 - 34b

When we compare the simplified expression to the examples provided, we obtain:

-34b + 18 = 18 - 34b, so the answer is "Yes".

34b - 18 is not equal to 18 - 34b, so the answer is "No".

-18b + 18 is not equal to 18 - 34b, so the answer is "No".

Therefore, the expression that is equal to 8(2.25-4.25b) is -34b+18.

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Answer:

Ok so I got you

Step-by-step explanation:

-4.8 x 6.3 = -30.24x

-4.8 x -4.18 = 20.064

-30.24x + 20.064 = -58.56

-30.24x = -78.624

x=2.6

Answer:

Step-by-step explanation:

\(-4.8(6.3x - 4.18) = -58.56\\^{\qquad\quad\ \div(-4.8)\ \qquad\div(-4.8)}\\6.3x - 4.18 =12.2 \\^{\qquad\ +4.18\qquad+4.18}\\6.3x=16.38\\^{\ \div6.3\quad\ \div6.3}\\x=2.6\)

Answer:

Yeah, so that is right, just put it into a formula.

\(9.07*10x^{-2}\)

Answer:

12 - (1/4)x

Step-by-step explanation:

quarter of x is (1/4)x

Now, minus that from twelve.

Answer:

has to be 30 pretty sure

When testing the claim that μ > 25.6 with a sample size of n=51 and a level of significance of α=0.01, you should reject H₀ if the standardized test statistic is greater than the critical value.

To determine when to reject H₀ (the null hypothesis that μ=25.6), we need to calculate the standardized test statistic using the sample size (n=51) and level of significance (a=0.01).The appropriate critical value for a one-tailed test at a 0.01 level of significance is 2.33. Therefore, we should reject H₀ if the standardized test statistic is greater than 2.33.The formula for calculating the standardized test statistic is: \($\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}$\), where \($\bar{x}$\) is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

With a sample size of 51, we can use the Central Limit Theorem to assume that the sample mean is normally distributed. We would calculate the standardized test statistic and compare it to the critical value of 2.33 to determine whether or not to reject H₀. In this case, the critical value can be found using a Z-table or calculator for a one-tailed test with α=0.01. The critical value is 2.33. Therefore, you should reject H₀ if the standardized test statistic is greater than 2.33.

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The expression to represent the number of cousins that Anna has is c + 5.

We are given a statement that says:

Number of cousins that Simon has is equal to = c

Now, it is also given that Anna has 5 more cousins than Simon.

So, we have to write an expression to show the number of cousins that Anna has.

An expression is a combination of constants and variables to express something or a statement.

So, the expression will be made by adding 5 to c

So, we get the expression as:

The number of cousins that Anna has = c + 5

Therefore, we get that, the expression to represent the number of cousins that Anna has is c + 5.

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z = -2.51 is the required test statistic.

A statistic employed in statistical hypothesis testing is known as a test statistic.

A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

The probability value, or p-value, indicates the likelihood that your data could have been true under the null hypothesis.

This is accomplished by estimating the probability of your test statistic, which is the figure obtained from a statistical analysis of your data.

So, we have to use: Ha: pB < pNY

This implies that the alternative thesis is revised as follows:

Ha: pB - pNY < 0

In contrast to the null hypothesis:

H₀: pB - pNY = 0

This is the test statistic:

z = X - μ/a

Now, pB = 0.581, pNY = 0.832.

It follows that: X = 0.581 - 0.832 = -0.251

The test for the null hypothesis is 0.

This follows to: μ = 0

Standard deviation: 0.1

This follows to: s = 0.1

Test statistic:

z = X - μ/a

z = -0.251-0/0.1

z = -2.51

Therefore, z = -2.51 is the required test statistic.

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Complete question:
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.

Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)

Two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

Given measure: 3, 5, 4, 6, 10, 5, 6, 9, 2, 13.(D) To calculate \(x_2\), first we need to sort the data in ascending order: 2, 3, 4, 5, 5, 6, 6, 9, 10, 13

Now, we need to find the median, which is the middle value of the data. Since the data has even number of values, we will calculate the mean of middle two values, that is:(5+6)/2 = 5.5 Therefore, \(x_2 = 5.5\).\( \frac{2}{x}= \) To find the value of x, we will first cross-multiply and then take the reciprocal of both sides:\[\frac{2}{x} = y \Rightarrow 2 = xy \Rightarrow x = \frac{2}{y}\] Therefore, \( \frac{2}{x}= \frac{2}{y}\).

(b) To calculate Fried m, we will use the formula: \[f_m = L + \frac{(n/2 - F)}{f} \times c\]where L is the lower limit of the modal class, F is the cumulative frequency of the class preceding the modal class, f is the frequency of the modal class, c is the class interval, and n is the total number of values.

First, we will calculate the class interval:c = (upper limit of class - lower limit of class) = (7-6) = 1 Next, we will construct a frequency table to find the modal class:| Class Interval | Frequency ||-------------------|------------|| 2-3 | 1 || 3-4 | 1 || 4-5 | 1 || 5-6 | 2 || 6-7 | 2 || 7-8 | 1 || 9-10 | 1 || 10-11 | 1 || 13-14 | 1 |The modal class is the class with highest frequency.

Here, two classes have frequency 2, so both are modes. They are 5-6 and 6-7.

Therefore, L = 5, F = 2, f = 2, n = 10, and c = 1. Substituting the values, we get:\[f_m = L + \frac{(n/2 - F)}{f} \times c = 5 + \frac{(10/2 - 2)}{2} \times 1 = 7\] Therefore, Fried m = 7.

(c) To find the mode, we look for the value(s) with highest frequency. Here, two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

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Answer:

Step-by-step explanation

Frist, the area = ab = 30 m^2 and the perimeter = 2(a + b) = 34 m or a + b = 17 m (2). Solving (1) and (2), a = 15 m and b = 2 m. Since it is a rectangle, the dimensions are (all in m) so the answer is: 15, 2, 15, 2.

Answer:

THe kitchen is 8 by 10

Step-by-step explanation:

x = width

y = length

Area = xy = 80 m²

Perimeter = 2x + 2y = 36 m

2x = 36 - 2y

x = 18 - y   substitute into equation 1

(18 - y)(y) = 80

-y² + 18y - 80 = 0    find roots of y by factoring

y² - 18y + 80 = 0

(y - 8)(y - 10) = 0

y = 8, 10

Since xy = 80, then:

x = 80/10 = 8, or, x = 80/8 = 10

Now you have your dimensions: 8 and 10

To check the answers:

8 x 10 = 80 m²

2(8) + 2 (10) = 36 m

Answers are correct!

Answer: A = 40°, Angle B = 60° and Angle C = 80°. The angles sum to 180°, so at least one triangle may be drawn.

Step-by-step explanation: Did this help

Recall that by definition, the limit of a function

when x approches n is k if as x approches n, f(x) approches k.

As x approaches 2, the values of f(x) approach 7.

Answer:

If Ally and Bo share evenly, Bo will get 30$, so will Ally. The half of 60 is 30.

If there is no difference between the distributions of scores in two groups, your effect size will be equal to 0 20.

What is distribution and example?

Distribution is the process of selling and delivering products and services to customers. The term is associated with marketing channels that are used to reach customers in different ways and different regions.

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9514 1404 393

Answer:

  A = 500

  B = 1.04

  49.6 years

Step-by-step explanation:

We assume your 'A' and 'B' refer to parameters in an exponential formula of the form ...

  y = A·B^x

In this form, A is the initial investment value, $500. B is the growth factor, 1+4% = 1.04, assuming interest is compounded annually. We want to find x such that y=$3500.

  3500 = 500·1.04^x . . . . . fill in known values

  7 = 1.04^x . . . . . . . . . . . . . divide by 500

  log(7) = x·log(1.04) . . . . . . take logarithms

  x = log(7)/log(1.04) ≈ 49.61 . . . . divide by the coefficient of x

It will take about 49.6 years for there to be $3500 in Mrs. Williams's account.

Answer: False

Step-by-step explanation:

Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.

The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.

In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.

Answer:

x = -4

Step 1: Take all the constants on one side and the variables on the other.

(2 × x) + 12 = 4

=> (2 × x) = 4 - 12

(2 × x) = -8

Step 2: Divide 2 both sides to isolate 'x'.

=> \(\frac{2x}{2}\) = \(\frac{-8}{2}\)

=> x = -4

Hoped this helped.

Answer: 13,I

Step-by-step explanation:

set the 3 number is 3/5, x,y

product of them

3 /5 xy = 7:6

xy = 7:6 x 5 /3

Xy = 13

So the two number is 13, 1

Step-by-step explanation: hope this helped, Meow!

Let:

x = Speed of the jet

y = Speed of jetstream

so:

and

Solve the system using elimination method:

Replace x into (1)

Answer:

Rate of the jet in still air: 726 mph

Rate of the jetstream: 65mph

The interested party is most likely to buy the laptop at GH¢ 3,504.15.

We can use the formula to calculate the depreciated value of the laptop: Depreciated value = Cost price × (1 - Rate of depreciation)^n

Where Cost price = GH¢ 4,500.00,

Rate of depreciation = 6%,

              and n = 4 years.

Depreciated value = 4500 × (1 - 0.06)^4

                         = 4500 × (0.94)^4

                         = 4500 × 0.7787

                            ≈ GH¢ 3,504.15

Therefore, the interested party is most likely to buy the laptop at GH¢ 3,504.15.

c) If the bearing of Amasaman from Adabraka is 198°, find the bearing of Adabraka from Amasaman.

If the bearing of Amasaman from Adabraka is 198°, then the bearing of Adabraka from Amasaman is 18° (bearing is measured clockwise from the North).Therefore, the bearing of Adabraka from Amasaman is 18°.

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Answer: the answe is not at all close to the actual Nobel rate.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

A rectangle doesn't have equal sides

Both sides are not equal

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the coordinates of the three vertices.

I will answer your question using the following illustration.

Assume that the square is ABCD are the given coordinates are:

\(A = (3,1)\)

\(B = (-1,5)\)

\(C = (-5,1)\)

Required

Find D

Let the coordinates of D be:

\(D = (x,y)\)

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

Calculate the slope of each side.

AB, BC, CD and DA using:

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

AB:

\(A = (3,1)\) -- \((x_1,y_1)\)

\(B = (-1,5)\) -- \((x_2,y_2)\)

So:

\(m_1 = \frac{5 - 1}{-1 - 3} = \frac{4}{-4} = -1\)

BC:

\(B = (-1,5)\) -- \((x_1,y_1)\)

\(C = (-5,1)\) -- \((x_2,y_2)\)

So:

\(m_2 = \frac{1-5}{-5--1} = \frac{-4}{-4} = 1\)

CD:

\(C = (-5,1)\) -- \((x_1,y_1)\)

\(D = (x,y)\) -- \((x_2,y_2)\)

So:

\(m_3 = \frac{y - 1}{x --5} = \frac{y-1}{x+5}\)

DA

\(D = (x,y)\) -- \((x_1,y_1)\)

\(A = (3,1)\) -- \((x_2,y_2)\)

\(m_4 = \frac{1-y}{3-x}\)

AB and CD are parallel sides. So, they have the same slope

i.e.

\(m_1 = m_3\)

\(\frac{y-1}{x+5} = -1\)

Solve:

\(y-1 =-x-5\)

Make y the subject

\(y =-x-5+1\)

\(y =-x-4\) ---- (1)

BC and DA are parallel sides. So, they have the same slope

i.e.

\(m_2 = m_4\)

\(1 = \frac{1-y}{3-x}\)

Solve:

\(1-y =3-x\)

Make y the subject

\(y =1-3+x\)

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

So, we have:

\(y =-x-4\) and \(y =x-2\)

Equate both:

\(y=y\)

\(-x-4=x-2\)

Collect like terms

\(-x-x=4-2\)

\(-2x=2\)

Solve for x

\(x = -\frac{2}{2}\)

\(x = -1\)

Substitute \(x = -1\) in \(y =x-2\)

\(y = -1-2\)

\(y = -3\)

So, the missing coordinate is:

\(D = (-1,-3)\)