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The total revenue from the sale of a popular book is approximated by the rational function, R(x)=1100x^2/x^2 + 4 where x is the

vazorg [7]

Answer:

The answer is below

Step-by-step explanation:

The total revenue from the sale of a popular book is approximated by the rational R(x) = 1100x^2/x^2 + 4, where x is the number of years since publication and the total revenue in millions of dollars. Use this function to complete parts a through d. (a) Find the total revenue at the end of the first year. $ million (b) Find the total revenue at the end of the second year. $ million (c) Find the domain of function R. Choose the correct domain below. {x | x is a real number and x greaterthanorequalto 0} {x | x is a real number and x lessthanorequalto 5} {x | x is a real number and x notequalto 2, x notequalto 5} {x | x is a real number and x notequalto 2}

Solution:

Revenue is the total money made from the selling of a product or item.

a) Given the revenue function:

$R(x)=\frac{1100x^2}{x^2+4}$

At the end of the first year (i.e. x = 1), the venue is given as:

$R(1)=\frac{1100(1)^2}{(1)^2+4} =220\\\\R(1)=\$ 220\ million$

b) At the end of the second year (i.e. x = 2), the venue is given as:

$R(2)=\frac{1100(2)^2}{(2)^2+4} =220\\\\R(2)=\$ 550\ million$

c) The domain of the function is the value of the denominator for which the value of the denominator is not zero

x² + 4 ≠ 0

The domain is {x| x is a real number and x ≥ 0}

3 0

2 years ago

Natalie paid $14.99 to join an online music service. If she purchases 9 songs each month at a cost of $0.99 per song, what will

ycow [4]

Answer:

Natalie Spent $59.54 on songs after 5 months at online music service.

Step-by-step explanation:

Total membership cost =$14.99

Number of songs purchased in each month = 9

Cost per song = $0.99

We need to find total amount she had spent after 5 months.

Solution:-

So First we will Number of songs purchased in 5 months.

1 month = 9 songs

So in 5 months = Songs purchased in 5 months.

By Using Unitary method we get;

Songs purchased in 5 months =

Now Also Given:

1 song = $0.99

45 songs = Cost for 45 songs.

Again by using Unitary method we get;

Cost for 45 songs =

No Total Amount Natalie spent after 5 months is equal to Total membership cost plus Cost of songs purchased in 5 months.

framing in equation form we get;

Total Amount Natalie spent =

Hence Natalie Spent $59.54 on songs after 5 months at online music service.

5 0

2 years ago

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This is multi step equations + 11 +8 29

navik [9.2K]

Answer:

the sum is 48

Step-by-step explanation:

11 + 8 is equal to 19. When you add 29 to 19 the sum would be 48

3 0

3 years ago

Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k

Nuetrik [128]

Answer:

$\displaystyle k = \frac{34}{3}$

Step-by-step explanation:

We are given the polynomial:

$\displaystyle P(x) = 3x^3 - kx^2 + 5x + k$

And we want to determine the value of k such that (x - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (x - a) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (x - 2). Thus, a = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

$\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k \end{aligned}$

This must equal zero. Hence:

$\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3} \end{aligned}$

In conclusion, k = 34/3.

6 0

2 years ago

Which human activity is correctly paired with the greenhouse gas that it increases?

ohaa [14]

Answer:

Sewage treatment and nitrous oxide

Step-by-step explanation:

Sewage to treatment and nitrous oxide is correctly paired with the greenhouse gases that it increases.

Greenhouse gas refers to gases that has the property of absorbing infrared radiation (net heat energy) emitted from Earth’s surface and reradiating it back to Earth’s surface, thus contributing to the greenhouse effect.

Examples of greenhouse gases and the most important greenhouse gases are methane, carbon dioxide (CO2), and water vapor.

Human activities such as fossil-fuel combustion are responsible for increase in the atmospheric concentration of various greenhouse gases, especially carbon dioxide, methane and ozone.

6 0

3 years ago

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