A network of electrical wires will be constructed so that each of the

The publisher of a recently released nonfiction book expects that over the first 20 months after its release, the monthly profit

wolverine [178]

Answer:

(a) $\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

(b)P'(5)=-($4.54) Thousand

(c)P'(11)=-($2.10) Thousand

(d)The fifth Month

Step-by-step explanation:

Given the monthly profit model:

$P(t)=\frac{240t-40t^2}{t^2+20}$

(a)We want to derive a model that gives the Marginal Profit, P' of the book.

We differentiate

$P(t)=\frac{240t-40t^2}{t^2+20}$ using quotient rule.

$\frac{dP}{dt}=\frac{(t^2+20)(240-80t)-(240t-40t^2)(2t)}{(t^2+20)^2}$

Simplifying

$\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

We have derived a model for the marginal profit.

(b) After 5 months, at t=5

Marginal Profit=P'(5)

$\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

$P^{'}(5)=\frac{4800-1600(5)-240(5)^2}{(5^2+20)^2}$

=-($4.54) Thousand of dollars

(c)Marginal Profit 11 Months after book release

$P^{'}(11)=\frac{4800-1600(11)-240(11)^2}{(11^2+20)^2}$

=-($2.10) Thousand of dollars

(d) Since the marginal profit at t=5 is negative, after the 5th Month, the profit starts to experience a steady decrease.

6 0

3 years ago

AActiveWhich is the graph of g(x)=[²]* - 2²(0,2.25)2--2Mark this and return2 3Save and Exit56NextSubmit

bogdanovich [222]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given function

$g(x)=(\frac{2}{3})^x-2$

STEP 2: Plot the given function

STEP 3: choose the correct graph

It can be seen from the plotted graph in step 2 that:

$\begin{gathered} x-intercept:(-1.71,0) \\ y-intercept:(0,-1) \end{gathered}$

Hence, comparing the x-intercepts, the correct graph is seen in:

3 0

1 year ago

12

mash [69]

Answer:

A

Step-by-step explanation:

I don't think you have the right equation down, so this more of an educated guess than an actual direct answer

4 0

3 years ago

You have 30,016 grams of radioactive kind of

Ostrovityanka [42]

Answer:

15,008 grams

Step-by-step explanation:

You have 30,016 grams of radioactive kind of rubidium. How much will be left after 54 minutes if its half-life is 18 minutes? 15,008 grams.

4 0

3 years ago

What's the slope and y-intercept?

Shtirlitz [24]

Answer:

Slope: 2; Y-Intercept: (0,3)

Step-by-step explanation:

As you can see from the graph, it rises 4 and runs 2. So, the slope is 2. It intersects the y axis at (0,3)

4 0

2 years ago

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