SAT College

Julian, an experienced motorcycle mechanic, recently decided to share his expertise by
writing and selling an ebook. After conducting some market research, Julian knows that if he
charges x dollars per download, he will sell -4x + 160 downloads of his ebook in his first
year.
The online bookstore will charge Julian 25% of the amount he charges per download. So,
Julian will learn 75% of the amount he charges per download, or 0.75x dollars, in profit.
What two prices can Julian charge per download to earn exactly $900 in profit in his first
year?

Answers

Answer 1

Answer:

Explanation:

We know that Julian's profit per download is 0.75x dollars. Let's start by setting up an equation for his total profit, given the number of downloads:

Total profit = (profit per download) x (number of downloads)

We also know that the number of downloads Julian will sell is given by the equation:

Number of downloads = -4x + 160

So we can substitute this expression for the number of downloads into the equation for total profit:

Total profit = (profit per download) x (-4x + 160)

Simplifying this expression:

Total profit = -3x(4x - 160)

Total profit = -12x^2 + 480x

To earn exactly $900 in profit, we set the total profit equal to 900 and solve for x:

-12x^2 + 480x = 900

Dividing both sides by -12:

x^2 - 40x + 75 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

Plugging in a = 1, b = -40, and c = 75:

x = (-(-40) ± sqrt((-40)^2 - 4(1)(75))) / 2(1)

x = (40 ± sqrt(400)) / 2

x = 20 ± 10

So the two prices Julian can charge per download to earn exactly $900 in profit in his first year are $10 and $30.

To verify, we can calculate Julian's profit for each price:

At $10 per download, Julian will sell -4(10) + 160 = 120 downloads. His profit per download is 0.75(10) = $7.50, so his total profit will be 120 x 7.50 = $900.

At $30 per download, Julian will sell -4(30) + 160 = 40 downloads. His profit per download is 0.75(30) = $22.50, so his total profit will be 40 x 22.50 = $900.

Related Questions

what is a properly of matter give me 5 examples

Answers

Explanation:

Density, colour, hardness, melting and boiling points, and electrical conductivity are all examples of physical properties.

Which of the following is NOT a requirement for a density​ curve?

Answers

The option that is NOT a requirement for a density​ curve is option

A. The graph is centered around 0.

What is a Density Curve?

A graph that displays probability is known as a density curve. All probability are represented by 100% of the curve's area under the curve.

Note that you can alternatively state that the area is equal to 1 because 100% is a decimal, which is how we typically express probabilities. Those are some characteristics of a density curve. One particular category of density curves is the normal density curve. They are bell-shaped, symmetric, and unimodal.

Therefore, To view the distribution of a variable in a dataset, utilize density graphs. The graph is plotted across a continuous range of time. Another name for this is a kernel density plot. Histograms are modified into density charts. An idealized representation of a distribution is a density curve, and there is no centered graph at point zero.

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Which of the following is NOT a requirement for a density​ curve?

Choose the correct answer below.

A.

The graph is centered around 0.

B.

The curve cannot fall below the horizontal axis.

C.

The total area under the curve must equal 1.

D.

Every point on the curve must have a vertical height that is 0 or greater.

Information and knowledge: Which one is obtained from the other?

Answers

Answer:

Information is obtained from knowledge because you can utilize your current knowledge to learn new information.

Explain regulatory requirementsExplain regulatory requirements for continuing professional development for Certificate of Registration holders: for continuing professional development for Certificate of Registration holders:real estate

Answers

The regulatory requirements for continuing professional development for Certificate of Registration holders in real estate differ from location to location. Here is an example of what obtains in the US.

What are the regulatory requirements for continuing professional development for Certificate of Registration holders in real estate in the US?

According to MCKissock Learning, the Real Estate Professional must complete the following:

New York Ethical Business Practices and Legal Matters (3.5 hrs)New York Fair Housing & Agency Law (4 hrs)Implicit Bias Awareness and Cultural Competency (4 hrs)Ethics in the Age of Disruption (3 hrs)Handling Multiple Offers (2 hrs)

It is to be noted that Continuing education classes allow you to expand your knowledge and abilities in a certain field. Local school districts, colleges, and universities provide continuing education classes to individuals in the community. Courses in anything from digital design to philosophy to visual literacy are available.

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