Which statement(s) can be interpreted from the equation for a real estate value, V 228,000(1.03)' where V) represents the value of the real estate and t represents the time in years?

The equation is an exponential growth equation

The equation is an exponential decay equation

The equation is neither exponential decay nor exponential growth

$228.000 represents the initial cost of a real estate that appreciates 3% per year over the course of years

$228.000 represents the initial cost of a real estate that appreciates 30% per year over the course of years

$228.000 represents the initial cost of a real estate that depreciates 3% per year over the course of t years

$228.000 represents the initial cost of a real estate that depreciates 30% per year over the course of years

Answers

Answer 1

Answer:

The statements that are true for this equation are:

- The equation is an exponential growth equation.

- $228.000 represents the initial cost of a real estate that appreciates 3% per year over the course of years.

Step-by-step explanation:

We have the equation

[tex]V= 228,000(1.03)^t[/tex]

Where V: value of the real state and t: time in years.

As t is always positive in this case, and 1.03 is larger than 1, the value V will rise exponentially. The equation is an exponential growth equation.

The difference in value for each year is:

[tex]\dfrac{V_{t+1}}{V_t}=\dfrac{1.03^{t+1}}{1.03^t}=1.03^{t+1-t}=1.03\\\\\\V_{t+1}-V{t}=1.03V_t-V_t=0.03V_t[/tex]

We can conclude that the value increases each year 0.03 (3%) from the previous year value, starting from $228,000 in the year t=0.

$228.000 represents the initial cost of a real estate that appreciates 3% per year over the course of years.


Related Questions

90 units needed 8units per case

Answers

Answer: 90/8=11.25

Step-by-step explanation:

24.3 cm
8.5 cm
9.7 cm

Answers

Answer:

  area: 144.5 cm^2

Step-by-step explanation:

Maybe you want the area of this figure.

The area of a trapezoid is given by the formula ...

  A = (1/2)(b1 +b2)h

Using the given dimensions, the area is ...

  A = (1/2)(9.7 cm +24.3 cm)(8.5 cm)

  A = (1/2)(34 cm)(8.5 cm) = 144.5 cm^2

In ΔCDE, the measure of ∠E=90°, DC = 5, CE = 4, and ED = 3. What ratio represents the sine of ∠C?

Answers

Answer:

As E is right angle , CD is hypotenuse , and ED is perpendicular and CE is the base .

Thus sinC = Perpendicular/ Hypotenuse

sinC = ED/CD

sinC = 3/5

The sine of an angle in a right triangle is the ratio of the side opposite to

the angle to the hypotenuse side.

[tex]\underline{sin\angle C \ is \ \dfrac{3}{5}}[/tex]

Reasons:

The given parameters of ΔCDE are;

∠E = 90°, DC = 5, CE = 4, ED = 3

Required: The ratio that represents the sine of ∠C

Solution:

Given that ∠E = 90° therefore;

ΔCDE is a right triangle

DC = The hypotenuse side = 5

ED = 3 = The side opposite ∠C

[tex]sin\angle C = \mathbf{\dfrac{Opposite \ leg \ length}{Hypotenuse \ length}}[/tex]

Therefore;

[tex]\underline{sin\angle C \ is \ \dfrac{3}{5}}[/tex]

Learn more about trigonometric ratios here:

https://brainly.com/question/4232719

A square has side length of 9 which is the following a correct way to find the area of the square

Answers

Answer:

b means one of the sides of a square it doesn't matter because all sides are the same

Formula for a square is

b^2 or b*b

hey can you guys help me with this? thx a lot! <3
Choose the answer based on the most efficient method as presented in the lesson.
If the first step in the solution of the equation -x + 6 = 5 - 3x is "subtract 5," then what should the next step be?

add x
add 3x
subtract 6

Answers

Answer:

add x

Step-by-step explanation:

get the constants on one side, and the variables on the other for easiest solving.

6x + 12 = −6x − 35

- How is this solved?

Answers

Step-by-step explanation:

here,

6x+12= -6x-35

6x+6x = -35-12

12x= -47

x= -47

[tex] \frac{ - 47}{12} [/tex]

standard form of y=-3 (x-2)²​

Answers

Answer:

y = [tex]-3x^2+12x-12[/tex]

Step-by-step explanation:

(x-2)^2 = (x-2)(x-2) => [tex]x^2-4x+4[/tex]

now, multiple every term by negative 3 and you get...

-3x^2+12x-12

What is the product of 3rad3cis(pi/8) and 3rad5cis(2pi/3)

Answers

Answer:

[tex]9\sqrt{15}*cis(\dfrac{19\pi}{24})[/tex]

Step-by-step explanation:

To multiplying complex numbers in polar form, follow these steps:

Multiply the polar magnitudes of the complex numbers.Add the angles of the complex numbers.

Given the two complex number in polar form

[tex]3\sqrt{3}\:cis(\dfrac{\pi}{8})\:\:and\:\:3\sqrt{5}\:cis(\dfrac{2\pi}{3})\\\\3\sqrt{3}\:cis(\dfrac{\pi}{8})*3\sqrt{5}\:cis(\dfrac{2\pi}{3})=(3\sqrt{3}*3\sqrt{5})*cis(\dfrac{\pi}{8}+\dfrac{2\pi}{3})[/tex]

[tex]=9\sqrt{15}*cis(\dfrac{3\pi+8*2\pi}{24})\\\\=9\sqrt{15}*cis(\dfrac{19\pi}{24})[/tex]

Answer: 34.86cis (2.49)

Step-by-step explanation: I took the quiz.

which graphs represents a proportional relationship between x and y?​

Answers

All of the graph are proportional

What are the solutions of this quadratic equation? 4x^2 + 3 = 4x + 2

Answers

Answer:

The answer is ±0.5 or ±1/2

Step-by-step explanation:

When you solve by using the quadratic formula, you get double roots that will solve the equation. Hope this helps!!

The solution of the quadratic equation is 1/2 and 1/2.

We have to find, the solution of the quadratic equation is [tex]4x^2 + 3 = 4x + 2[/tex].

To determine the solution of the quadratic equation following all the steps given below.

Equation; [tex]4x^2 + 3 = 4x + 2[/tex]

Step1; The equation is written in the standard form of the quadratic equation.

        [tex]4x^2 + 3 = 4x + 2\\\\4x^2 + 3 - 4x - 2=0\\\\4x^2 -4x +1 =0[/tex]

Step2; Factorize the equation for finding the solution of the equation,

                    [tex]\rm 4x^2-4x +1 = 0\\\\4x^2-2x -2x + 1= 0\\\\2x(2x-1) - 1 (2x-1)=0\\\\(2x-1) ( 2x-1) = 0[/tex]

Step3; The solution for the equation is,

                    [tex]\rm 2x- 1= 0 , \ 2x = 1 , \ x = \dfrac{1}{2}\\\\And \ 2x- 1= 0 , \ 2x = 1 , \ x = \dfrac{1}{2}\\\\[/tex]

Hence, The required solution of the equation is 1/2 and 1/2.

For more details refer to the link given below.

https://brainly.com/question/19776811

         

Write as a fraction in lowest terms:
0.126126126..=a/b
A=
b =
DONE

Answers

Answer:

a= 14

b= 111

Step-by-step explanation:

just took it

Mariko is training for a race and now runs 6.5 miles in about 52 minutes. Write an equation to represent the number of minutes, n, she will take to run m miles at this rate.

Answers

Answer:

52+n=m

Step-by-step explanation:

Answer:

6.5 /52 m = n

Step-by-step explanation:

The rate is 6.5 miles / 52 minutes

We are going to run m miles in n minutes

m = 6.5 / 52 * n

We want to solve for n

Multiply each side by 52/ 6.5

6.5 /52 m = 6.5 / 52 * n * 6.5 / 52

6.5 /52 m = n

X Nate brought $37.75 to the art supply store he bought a brush a SketchBook and a paint set the brush was 1/4 as much as a SketchBook and the Sketchbook cost 2/3 the cost of the paint set Nate had $2 left over after buying these items.

Answers

Answer:

cost of paint set  =$19.5

cost of Sketchbook = $13

cost of brush =  $3..25

Step-by-step explanation:

Total money with Nate = $37.75

Let the cost of paint set be $x

As the  Sketchbook cost 2/3 the cost of the paint set

Thus cost of Sketchbook = $(2/3)x

Cost of brush is 1/4 of Sketchbook

Thus cost of brush = (1/4)*(2/3)x =$ 1/6x

Total cost of all the three item in terms of x  is

x + (2/3)x + ( 1/6)x

=>(6x+4x+x)/6 = 11x/6

Given that after money spent on buying all the three thing Nate has left $2

subtracting money spent on buying three things from total money is equal to $2

Mathematically it can be written as

$37.75 -  11x/6 = $2

=> $37.75  - $2  11x/6

=>$35.75 =  11x/6

=> $35.75*6 = 11 x

=> $214.5 = 11x

=> $214.5/11 = x  

=> x = 19.5

Thus,

cost of paint set  = x = $19.5

cost of Sketchbook = $(2/3)x =$(2/3)*19.5 = $13

cost of brush = $ 1/6x = $ (1/6)*19.5 = $3.25

Match the following items by evaluating the expression for x = -3.

Answers

Answer:

1/9-1/31-39

Step-by-step explanation:

x^-2 = (-3)^-2 = 1/(-3)^2 = 1/9

Each of the following is the previous value multiplied by -3,

x^-1 = x(x^-2) = (-3)(1/9) = -1/3

x^0 = x(x^-1) = (-3)(-1/3) = 1

x^1 = -3(1) = -3

x^2 = -3(-3) = 9

A major home improvement store conducted its biggest brand recognition campaign in the company's history. A series of new television advertisements featuring well-known entertainers and sports figures was launched. A key metric for the success of television advertisements is the proportion of viewers who "like the ads a lot." A study of 1,189 adults who viewed the ads reported that 230 indicated that they "like the ads a lot." The percentage of a typical television advertisement receiving the "like the ads a lot" score is believed to be 22%. Company officials wanted to know if there is evidence that the series of television advertisements are less successful than the typical ad (i.e. if there is evidence that the population proportion of "like the ads a lot" for the company's ads is less than 0.22) at a 0.01 level of significance. 1) State H subscript 0 and H subscript 1. (2 points) 2) What critical value should the company officials use to determine the rejection region? (2 points) 3) What is the value of the test statistic? (4 points) 4) What is the conclusion of the hypothesis test? Is there evidence that the population proportion of "like the ads a lot" for the company's ads is less than 0.22?

Answers

Answer:

Step-by-step explanation:

Identify:      Hypothesized π = 0.22 n =1189 X = 230  

Estimate the sample proportion, p, of defective items. p= X/n = 230/1189 = 0.1934

List the formula for the standard error of a proportion.   [tex]\sqrt{PQ/n}[/tex]

Estimate the standard error of a proportion.  [tex]\sqrt{PQ/n} = \sqrt{0.22\times 0.78/1189} = 0.0120[/tex]

State the null and alternative hypotheses below.

H0: P = 0.22

H1: P<0.22

Illustrate the acceptance and rejection regions of the diagram to the right.

check the attached image below for the diagram

Identify the critical Z , -1.645

Fornulate the decision rule and list below.

If Z calculated is less than Z critical we reject null hypothesis

Calculate your test statistic.

[tex]Z= \frac{p-P}{\sqrt{PQ/n}} = \frac{0.1934-0.22}{0.0120}= -2.217[/tex]

Do you accept or reject the null hypothesis at 0.05 level of significance? Reject

State your conclusion. Should the quality control manage accept the shipment or return it?

WE have sufficient evidence that the population proportion of "like the ads a lot" for the company's ads is less than 0.22 at a 0.05 level of significance.

If a 0.01 level of significance had been used in the test, would you have accepted or rejected the null hypothesis?  

at 0.01 level of significance the critical value of Z is -2.33

Since Z calculated is greater than Z critical value we accept the null hypothesis

A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected sober subjects take the test and produce a mean score of A with a standard deviation of B. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the critical value method of testing hypotheses.

Answers

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: motor skills of a sober subject.

n= 20

X[bar]= 37.1

S= 3.7

The claim is that the average score for all sober subjects is equal to 35.0, symbolically: μ= 35.0

The hypotheses are:

H₀: μ = 35.0

H₁: μ ≠ 35.0

α: 0.01

The statistic to use, assuming all conditions are met, is a one sample t- test

[tex]t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}[/tex]

[tex]t_{H_0}= \frac{37.1-35.0}{\frac{3.7}{\sqrt{20} } } = 2.34[/tex]

This test is two-tailed, meaning, the rejection region is divided in two and you'll reject the null hypothesis to low values of t or to high values of t:

[tex]t_{n-1;\alpha /2}= t_{19; 0.005}=-2.861[/tex]

[tex]t_{n-1;1-\alpha /2}= t_{19; 0.995}= 2.861[/tex]

The decision rule using this approach is:

If [tex]t_{H_0}[/tex] ≤ -2.861 or if [tex]t_{H_0}[/tex] ≥ 2.861, you reject the null hypothesis.

If -2.861 < [tex]t_{H_0}[/tex] < 2.861, you do not reject the null hypothesis.

The value is within the non rejection region, the decision is to not reject the null hypothesis.

I hope this helps!

solve
[tex]y {4 - 2y {3 = 0}^{?} }^{?} [/tex]
please​

Answers

Step-by-step explanation:

y4 - 2y3 = 0

y3(y - 2) = 0

y3 = 0

y = 0

Y - 2 = 0

Y = 2

Can anyone help with these three questions will give 25 points

Answers

Answer:

Step-by-step explanation:

1). y + 2x < 6

  (y + 2x) - 2x < 6 - 2x

   y < -2x + 6 [Slope intercept form of the inequality]

2). y + 2x < 6

  Since there is no sign of equal to (=) in the given inequality therefore, line graphed will be dashed.

Notation of less than (<) denotes the area down the line.

Option (4) will be the answer.

3). y + 2x < 6

    x ≤ 2

Please find the graph attached.

Help please! ASAP!!


The first choose is incorrect or correct

The second choose is 84 28 42 56

The third choose is 126 84 63 42

Answers

Answer:

Correct

Step-by-step explanation:

Amount of granular of 10 batch of raisin nut = 28 cups

To find raisin nut 30 batches = 28 x 3 = 84

Amount of granula of 10 batch of honey almond energy = 42

To find honey almond 15 batches = 42 + 21 = 63

According to the picture, whats the answer?

Answers

Answer:

  126 in^2

Step-by-step explanation:

The surface area can be found from the surface area formula:

  SA = 2(LW +LH +WH)

I like to rearrange it slightly to ...

  SA = 2(LW +H(L +W))

For the given dimensions, the area is ...

  SA = 2(6·3 + 5(6 +3)) = 2(18 +45) = 126 . . . . square inches

A pyramid has a volume of 1,994 inches cubed and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?

Answers

Answer:D)36

Step-by-step explanation:

Took the test

On a multiple-choice test, each question has 4 possible answers. A student does not know
answers to three questions, so the student guesses.
What is the probability that the student gets all three questions right?

Answers

Answer:

1.56% probability that the student gets all three questions right

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses the answer correctly, or he does not. The probability of the student guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Each question has 4 possible answers, one of which is correct.

So [tex]p = \frac{1}[4} = 0.25[/tex]

Three questions.

This means that [tex]n = 3[/tex]

What is the probability that the student gets all three questions right?

This is [tex]P(X = 3)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156[/tex]

1.56% probability that the student gets all three questions right

A local aquarium is filled halfway with water. How many cubic inches of water are in the aquarium?

Answers

Answer:

The aquarium contains [tex]\frac{x}{2}[/tex] cubic inches of water

Step-by-step explanation:

Given: A local aquarium is filled halfway with water.

To find: Volume of water in the aquarium

Solution:

Volume refers to the three-dimensional space enclosed by a boundary. S.I. unit of volume is [tex]m^3[/tex]

Let x cubic inches denotes volume of an aquarium.

As a local aquarium is filled halfway with water,

the aquarium contains [tex]\frac{x}{2}[/tex] cubic inches of water.

Answer:

Step-by-step explanation:

Showing results for The aquarium contains cubic inches of waterStep-by-step explanation:Given: A local aquarium is filled halfway with water.To find: Volume of water in the aquarium Solution:Volume refers to the three-dimensional space enclosed by a boundary. S.I. unit of volume is Let x cubic inches denotes volume of an aquarium.As a local aquarium is filled halfway with water,the aquarium contains cubic inches of water.

HELP ASAP!!

What is the area of the composite figure below?

A) 84 square inches
B) 90 square inches
C) 98 square inches
D) 104 square inches

Answers

B because it makes sense

Answer:

84 square inches

Step-by-step explanation:

First, separate this shape into two shapes you can easily find the area of. You can do this by turning it into a rectangle and a rhombus.

Say the rectangle has measurements of 5 by 6 inches. The area of that rectangle will be 30 square inches. Save this value to add on later.

The rhombus now has a height of 4 (because the side length 10 minus the side length 6 equals 4), and two bases by the values of 12 and 15. The area of a rhombus can be found with the equation:

a = 1/2(b1 + b2) x h

Simply plug in those values to find the area of the rhombus, 54. Now add the area of the rhombus and the area of the rectangle to get 84 square inches as your final area.

Area of the base, B = 42 square meters

and height = 3 meters

Answers

Answer:

14

Step-by-step explanation:

all i did was divided 42 by 3 and got 14

What’s the correct answer for this?

Answers

Answer:

Answer is the first one :)

Step-by-step explanation:

√(-7-5)² + (-7-9)²

answer is 20

hope this helps

Answer:

A.

Step-by-step explanation:

In the attached file

Autism and Maternal Antidepressant Use A recent study41 compared 298 children with Autism Spectrum Disorder to 1507 randomly selected con- trol children without the disorder. Of the children with autism, 20 of the mothers had used antidepres- sant drugs during the year before pregnancy or the first trimester of pregnancy. Of the control children, 50 of the mothers had used the drugs.
(a) Is there a significant association between prena- tal exposure to antidepressant medicine and the risk of autism? Test whether the results are sig- nificant at the 5% level.
(b) Can we conclude that prenatal exposure to antidepressant medicine increases the risk of autism in the child? Why or why not?

Answers

Answer:

(a) We conclude that there is a significant association between prenatal exposure to antidepressant medicine and the risk of autism at 5% significance level.

(b) Yes, we can conclude that prenatal exposure to antidepressant medicine increases the risk of autism in the child.

Step-by-step explanation:

We are given that Autism and Maternal Antidepressant Use A recent study 41 compared 298 children with Autism Spectrum Disorder to 1507 randomly selected control children without the disorder.

Of the children with autism, 20 of the mothers had used antidepressant drugs. Of the control children, 50 of the mothers had used the drugs.

Let [tex]p_1[/tex] = proportion of mothers who had used drugs having Autism Spectrum Disorder in their children.

[tex]p_2[/tex] = proportion of mothers who had used drugs not having Autism Spectrum Disorder in their children.

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]p_1=p_2[/tex]      {means that there is no significant association between prenatal exposure to antidepressant medicine and the risk of autism}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_1\neq p_2[/tex]     {means that there is a significant association between prenatal exposure to antidepressant medicine and the risk of autism}

The test statistics that would be used here Two-sample z test for proportions;

                         T.S. =  [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex]  ~ N(0,1)

where, [tex]\hat p_1[/tex] = sample proportion of mothers who had used drugs having Autism Spectrum Disorder in their children = [tex]\frac{20}{298}[/tex] = 0.067

[tex]\hat p_2[/tex] = sample proportion of mothers who had used drugs not having Autism Spectrum Disorder in their children = [tex]\frac{50}{1507}[/tex] = 0.033

[tex]n_1[/tex] = sample of children with Autism Spectrum Disorder = 298

[tex]n_2[/tex] = sample of children without Autism Spectrum Disorder = 1507

So, the test statistics  =  [tex]\frac{(0.067-0.033)-(0)}{\sqrt{\frac{0.067(1-0.067)}{298}+\frac{0.033(1-0.033)}{1507} } }[/tex]

                                       =  2.281

The value of z test statistics is 2.281.

Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistic doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there is a significant association between prenatal exposure to antidepressant medicine and the risk of autism.

(b) Yes, we can conclude that prenatal exposure to antidepressant medicine increases the risk of autism in the child because if we reconsider our hypothesis for one-tailed test in which the null hypothesis states that the prenatal exposure to antidepressant medicine does not increases the risk of autism in the child.

For this hypothesis also, our test statistics will be more than the critical value of z and due to which we reject our null hypothesis and conclude that prenatal exposure to antidepressant medicine increases the risk of autism.

if a triangle has a base of 5 cm and a height of 6 cm what’s it’s area?

Answers

Answer:

the area is 30 you have to muiltly the two together

Step-by-step explanation:

Which step in conducting research should be done before writing a research question?
Ab
Interview an expert about your topic.
Use evidence to support your position.
Decide on a subject that you are interested in
O Make a plan to learn more about your topic.

Answers

Answer:

It is C

Step-by-step explanation:

You have to make a subject to research before your make a question, because you dont know what your looking for then.

I know i might be late but can i have brainliest if its correct so i can level up?

Thank you!

Answer:

cthe therd one

Step-by-step explanation:

you need a subject to research before you make a question,

so you can also begon with your work like assimgments.

there are 7 rows of 9 people . how many people in all ?

Answers

There are 7 rows of 9 people then there will be 63 people in all.

Multiplication

Multiplication refers to the product of two numbers or more than two numbers. It states the result when a number is taken times.

How to find the number of people?

There are 7 rows of 9 people.

This means in each row, there are 9 people.

Then the number of people in 7 rows will be 7 multiplied by 9 i.e.,

[tex]7\times9=63[/tex]

So, the number of people will be 63.

Learn more about multiplication here- https://brainly.com/question/10590363

#SPJ2

Other Questions
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming theseflowers rapidly increases as the trees blossom.The relationship between the elapsed time, t, in days, since the beginning of spring, and the total number oflocusts, L(t), is modeled by the following function:tL(t) = 750 - (1.85)^tComplete the following sentence about the daily rate of change of the locust population.Every day, the locust populationgrows/shrinks by a factor of______? Find the slope from the table. Which word is closest in meaning to scalawag?HeroscoundrelsharecropperRebel Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area: 120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters radius: 4.5 meters diameter: 6 meters radius: 2 meters NEED HELP Read the passage.People have been using the milk that cows produce for hundreds of years. For generations, people milked cows by hand. Generally, they could milk six cows per hour. However, once machines came along, they changed the dairy industry. Some people think milking by machine seems mean or cold. But todays milking process is superior.During the revision process, the writer will most likely improve the argument by adding which sentence at the end?A.Refrigeration started in 1880, making milk more available.B.Today's farm machines can milk more than 100 cows an hour.C.The majority of farms today are still owned and run by families.D."We've had a dairy cow for years," local farmer Pat Cooper said. the particle picture is best described as...an elementan atoma compounda pure substanceboth a pure substance and a compound Jina sold t-shirts at a festival. She made $3 for each t-shirt she sold. Her expenses were $27. If she made a profit of $51, how many t-shirts did she sell? Sofia tells her Accountant, Luca, to prepare the financial statements of her business and then send them to Chase Manhattan Bank. She tells Luca that she wants to get a loan for her struggling business. Luca prepares the statements and emails them to the Bank. Six months later, Sofia's business files for bankruptcy. Chase files suit against Luca because he prepared the financial statements negligently. He made Sofia's business look better than it really was. If Luca was negligent in preparing the statements, under which rule or rules can he be liable to Chase for negligence Select one of these options for each of the 4 questions A. Exactly one pair of opposite sides of a trapezoid is parallel.B. Slope formulaC. Two distinct lines are parallel if and only if they have equal slopes.D. Midpoint formulaE. GivenF. Distance formulaG.Both sets of opposite sides of a trapezoid are parallel. I need help with questions 1-4 What is one way that early humans used resources that were available in the natural environment?They created stone tools.They built wooden homes.They built earthen dams.They made cotton clothes. A car is travelling at 16.7m/s. If the car can slow at a rate of 21.5m/s^2, how much time does the driver need in order to stop the red light? brainly, 200 points I will give you the question to get the other 100 points A gene has the base sequence that starts with gac tga cga tta.what would be the complementary dna strand formed from this DNA? i already know this question It would be ctg act gct aat. please tell me if im wrong What would be the mRNA base sequence formed from this DNA sequence? Use the codon table below to find the first three amino acids in the protein formed from this gene. The gene has a mutation and is changed to the sequence below.GAC GGA CGA TTAWhat kind of mutation is this?What is the new mRNA strand produced by this mutated gene? Does this mutation affect the protein produced? Explain. Okay so I kinda suck at grammar so I need some help.A. Write the adjectives in the following sentences. (Some sentences have more than one adjective.1 a )Anja and her mother visit the animal shelter every Saturday.2 a )They bring pet supplies and dog treats when they visit.3 a)Anja walks the small dogs, and her mom walks the big ones.4 a )Anja likes to play with the cute cats.5 a )She especially likes the Siamese kittens.B. Write the predicate adjectives in the following sentences. (Some sentences have more than one predicate adjective.)1 b )Most of the animals at the shelter are friendly, but some are shy.2 b )The bulldog barks at visitors, but he is nice.3 b )The terrier seems sweet and playful.4 b )The kittens are frisky too.5 b )All the animals seem happy to have visitors. What is Nemos motivation for living on the Nautilus? What is his motivation for not returning his prisoners to their ship? Aquatica makes underwater camera housings for divers. The process begins with a solid rectangular block of aluminum which is used to make a single housing. A Computer Numerically Controlled (CNC) machine drills into the block to make the metal "frame" of the housing. Each block requires 15 minutes of drilling. The frame is then chemically treated in a series of baths. There is ample capacity in the treating stage. Finally, a worker must manually attach the various buttons and components to the metal housing. This assembly takes 120 minutes per housing per worker and Aquatica has 6 workers trained to do this task. The CNC machine requires a 30 minute setup time before the production of a batch can begin. Housing type Demand rate (housings per hour) D7000 0.4 5DS Mark IlI 0.5 AN-5n 0.6 D300 0.7 T2i 0.8 a. If the CNC machine produces 12 housing between setups, what would be its capacity (in housings per hour)? b. Assuming the process is supply constrained, what is the utilization (as a percentage) of the CNC machine if it operates in batches of 12 housings? (Round your answer to 2 decimal places.) c. Assuming the process is supply-constrained and operates with batches of 12 housings, what is the average inventory of housings? d. Aquatica actually makes 5 different housings. As already mentioned, the CNO machine must be setup whenever production switches from one housing to the other. In each case, the setup time is 32 minutes and it takes 17 minutes to drill the block for each type of housing. Demands for the housings are given in the table above. If they wish to minimize inventory while satisfying their demand, how many D7000 housings should they produce in each batch? If you take in more calories than you burn, you will essentiallya. lose weightb. maintain the same weightc. gain weightd. cannot predict the outcome The segment you just read refers to something called the right of revolution.why would this have been important to the authors of the Declaration of Independence? The multiplicative identity element for integers is _______________________. The total cost of buying apples from a farm stand is shown in the table.What is the cost per pound of apples?A $1.50 per SoundB. $2.00 per poundC. $2.50 per poundD. $3.00 per pound