An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number of key rings is given by , where n is the number of key rings in thousands. Find the number of key rings sold on a particular day when the total profit is $5,000.

Answers

Answer 1

Answer:

Answer:

The number of key rings sold on a particular day when the total profit is $5,000 is 4,000 rings.

Step-by-step explanation:

The question is incomplete.

An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number of key rings is given by

$P=n^2-2n-3$

where n is the number of key rings in thousands.

Find the number of key rings sold on a particular day when the total profit is $5,000.

We have the profit defined by a quadratic function.

We have to calculate n, for which the profit is $5,000.

$P=n^2-2n-3=5\n\nn^2-2n-8=0$

We have to calculate the roots of the polynomial we use the quadratic equation:

$n=(-b\pm√(b^2-4ac))/(2a)\n\nn= (-2\pm√(4-4*1*(-8)))/(2)= (-2\pm√(4-32))/(2) = (-2\pm√(36))/(2) =(-2\pm6)/(2) \n\nn_1=(-2-6)/2=-8/2=-4\n\nn_2=(-2+6)/2=4/2=2$

n1 is not valid, as the amount of rings sold can not be negative.

Then, the solution is n=4 or 4,000 rings sold.

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Suppose the labor force is 189 million of a possible 244 million working-age adults. The total number of unemployed is 15 million. Whatis the standard unemployment rate?

Answers

Answer:

The standard unemployment rate is of 0.0794 = 7.94%.

Step-by-step explanation:

The standard unemployment rate, as a proportion, is the number of unemployed people divided by the size of the labor force.

In this question:

Labor force: 189 million

Number of unemployed people: 15 million

What is the standard unemployment rate?

15/189 = 0.0794

The standard unemployment rate is of 0.0794 = 7.94%.

A national survey of 1516 respondents reached on land lines and cell phones found that the percentage of adults who favor legalized abortion has dropped from 55% a year ago to 45%. The study claimed that the erroratributable to sampling is 4 percentage points. Would you claim that a majority of people are not in favor of legalized abortion?

Answers

Answer:

The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion

Step-by-step explanation:

Confidence interval:

Sample proportion plus/minus margin of error.

In this question:

Sample proportion of 0.45, margin of error of 0.04. So

0.45 - 0.04 = 0.41

0.45 + 0.04 = 0.49

The confidence interval is of (0.41,0.49). The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion

Final answer:

Given the margin of error of 4 percentage points, we cannot definitively state that a majority are against legalized abortion, even though the survey shows a 45% favor rate. The true proportion could be anywhere from 41% to 49%.

Explanation:

The question relates to the interpretation of survey results and margin of error. The study indicates that 45% of the surveyed adults favor legalized abortion, down from 55%. However, the study also reveals a margin of error of 4 percentage points.

This implies that the true proportion of adults favoring legalized abortion could be anywhere from 41% (45% - 4%) to 49% (45% + 4%). So, we cannot definitively say that a majority of adults are opposed to legalized abortion, as the result could still be close to 50%, given the margin of error.

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Consider a home mortgage of $250,000 at a fixed APR of 4.5% for 25 years.a. Calculate the monthly payment.
b. Determine the total amount paid over the term of the loan.
c. Of the total amount paid, what percentage is paid toward the principal and what
percentage is paid for interest.
a. The monthly payment is $
(Do not round until the final answer. Then round to the nearest çent as needed.)

Answers

Answer: 1,389.58

M is the monthly payment.

P is the principal loan amount (in this case, $250,000).

r is the monthly interest rate (annual rate divided by 12). For an APR of 4.5%,

0.045

n is the total number of payments (number of years multiplied by 12). For 25 years,

n=25×12.

Is the blue figure a rotation of the red figure about the orgin?

Answers

Answer:

yes; 180° CW or CCW

Step-by-step explanation:

Each of the figures is a reflection of the other across the origin. Such a reflection is equivalent to rotation 180° about the origin. 180° CW is the same as 180° CCW, so the direction could be either one.

Comparing the images, the correct option is option d

Yes, 180 degrees clockwise or counterclockwise about the origin

What is 180 deg clockwise rotation

A 180-degree clockwise rotation means that a point, shape, or object is rotated 180 degrees in the clockwise direction around a central point. In the Cartesian coordinate system:

For a point (x, y), a 180-degree clockwise rotation swaps the x and y coordinates and negates both. So, the new coordinates would be (-x, -y).

The resultant image is the same the difference is the way it rotates hence we choose option d

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61+r=122 so what is r please help quickly

Answers

Answer:

it's 61+61

Step-by-step explanation:

i hope this helps

Which fraction is equivalent to 0.36

Answers

Answer: 9/25, Percentage: 36%

Final answer:

The fraction equivalent to 0.36 is 36/100, which can be further simplified to 9/25.

Explanation:

In the subject of mathematics, to convert a decimal into a fraction, one must understand the place value of the decimal. In your case, the decimal 0.36 is in the hundredths place, which means you can express this decimal as 36 over 100. Therefore, the fraction equivalent to 0.36 is 36/100. To simplify this fraction, we can divide both the numerator (36) and the denominator (100) by the greatest common divisor, which is 4. This gives us a simplified fraction of 9/25.

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