In which direction does the rectangular coordinate system rotate?(

Felipe transferred a balance of $3700 to a new credit...

Vikki [24]

Answer:

(3700)(1+.059/12)^4(1+.172/12)^8 is the corect answer -Apex

Step-by-step explanation:

5 0

3 years ago

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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 23 in. by 13 in. by

faltersainse [42]

Answer:

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is 361.19 $in^3$ .

Step-by-step explanation:

Given that the dimensions of a cardboard is 23 in by 13 in.

Let the side of the square be x in.

Then the length of the box= (23-2x) in

and the width of the box =(13-2x) in

and height = x in.

The volume of the box is = length ×width × height

=[(23-2x)(13-2x)x] $in^3$

=(299x-72x² +4 $x^3$ ) $in^3$

∴V=299x-72x² +4x³

Differentiating with respect x

V'= 299-144x+12x²

Again differentiating with respect x

V''= -144+24x

To find the dimensions, we set V'=0

∴299-144x+12x²=0

Applying Sridharacharya formula that is the solution of a quadratic equation ax²+bx+c is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here a=12, b=-144 , c=299

$\therefore x=\frac{-(-144)\pm\sqrt{(-144)^2-4.12.299}}{2.12}$

$\Rightarrow x= 9.33, 2.67$

If we take x=9.33 in, then the width of the box [13-(2×9.33)] will negative.

∴x = 2.67 in

If at x = 2.67, V''<0 , then the volume of the box will be maximum or V''>0 then volume of the box will be minimum.

$V''|_{x=2.67}=-144+(24\times 2.67)=-79.92$

Therefore at x = 2.67, the volume of the box maximum.

The length of the box =[23-(2×2.67)] in

=17.66 in

The width of the box =[13-(2×2.67)] in

=7.66 in

The height of the box= 2.67 in

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is =(17.66×7.66×2.67) $in^3$

=361.19 $in^3$

8 0

3 years ago

Can someone please helpp me in mathhhh i am failingggggggggggggg

butalik [34]

1.
Given that a study uses statistical methods to conclude that there is an association between the weights of cars and the amounts of fuel consumption.

This means that the study established a correlation between the weights of cars and the amounts of fuel consumption.

But, a correlation between variables, however, does not automatically mean that the change in one variable is the cause of the change in the values of the other variable.

Therefore, the conclusion by the study that adding weight to a car is what makes it consume more fuel is wrong because The conclusion is based on a correlation that implies causality.

2.
Given that a recent government agency found that 89% of people that owned a car were above the poverty line, while only 8% of people that did not own a car were above the poverty line. They concluded that owning a car kept people out of poverty and started a program to give cars to people below the poverty line.

We can see that the problem with the study is that the government agency automatically assumed that the correlation between the variables implies causality.

3.
Given that a government agency produced a study in which they randomly chose 100 students just beginning college to determine what percentage of students who begin college graduate with a degree. After four years they identified that 23 had dropped out of college, 45 had graduated, and 20 were still pursuing their degree.

Notice that the number of final sample is less than the number of the initial sample.

Therefore, What is wrong with this poll is that some of the sample data are missing.


4.
Given that a shampoo company recently paid a consulting firm to produce a study to determine if using their product resulted in cleaner hair than other brands.

As can be noticed the study is based on the self interest of the shampoo company.

Therefore, the thing wrong with this study is that it is a self-interest study.

5.
Given that a survey was recently quoted to support the news that the number of trees in the United States is increasing. Upon further research it was found that the survey was fully funded by a logging company.

As can be seen, the logging company funded the survey in other to justify their activities

Therefore, the problem with this survey is that it is a self-interest study.


6.
Given that a radio station sent a letter in the mail to 1000 randomly chosen residents within its broadcast area. The letter contained one dollar and a survey. The survey asked recipients to track their radio habits over a week. The survey was to be filled out and sent back in to the radio station.

Here, the major problem with this study is the problem of non-response.
There is every possibility that not all the mails will be delivered either way.

Therefore, a problem with the study is that a nonresponse occurred.

7.
Given that the fire department in California decided to take a poll to see if residents would pay a monthly fee for their services. They polled 22 people in the state and concluded that residents were not willing to pay a monthly fee.

As can be seen, a sample of 22 people is too small to refrect the views of the population of a state.

Therefore, what is wrong with this poll is that the conclusion is based on a small sample.

8.
Given that a campaign manager created a survey to see if the candidate could be elected into office. The survey randomly chose 1,832 voters and asked them whom they would vote for. Of those surveyed, 953 people responded that they would vote for the candidate. Because there are 87,403 voters in the area, the results mean that 45,466 people would vote for this candidate.

As can be seen, the surveyor concluded that a similar proportion of voters responded that they would vote for the candidate, would vote for his candidate. This is a precise number and surveys do not usually result in a presice number but in a proportion with an allowed margin of error.

Therefore, a problem with the study is that the result is a precise number.


9.
Given that a hospital did a ten-year study on patients who used its services. One thousand patients were randomly selected and followed over a period of ten years to determine the average number of visits per year. By the end of the ten year period some of the patients had left the area.

As can be seen, because some of the patients had left the area, the problem with the poll is that some of the sample data are missing.

10.
Given that a city council had a proposal for a new traffic light at an intersection that had a recent accident. The council decided to take a poll of 284 randomly selected residents and asked if they would support the construction. Of those polled, 219 stated that they would support the new traffic light and 45 said they would not.

Notice that the number of final sample is less than the number of the initial sample. (i.e. 219 + 45 = 264 which is less than 284)

Therefore, the problem with the study is that some of the sample data are missing.

4 0

3 years ago

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What are four key terms that can be used to describe Islam

horrorfan [7]

Answer:

Each of the four principles (beneficence, nonmaleficence,justice and autonomy) is investigated in turn.

Step-by-step explanation:

5 0

3 years ago

Is 6x³- 4x+1 a binomial or trinomial?

andreev551 [17]