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3 years ago

How did you get that answer j

Mathematics

1 answer:

gtnhenbr [62]3 years ago

6 0

i answer the questions that relate to the lessons i've learned

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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

Alex types 3 pages in the same amount of time that Erica types 4.5 pages. If Alex and Erica start typing at the same time, how m

Archy [21]

Answer:

12.5

Step-by-step explanation:

4.5 - 3 = 1.5, so 11 + 1.5 = 12.5

7 0

3 years ago

Y = -2x<br><br> Please help

djyliett [7]

What’s the question?

8 0

3 years ago

How to tell whether its a prime or composite number

Lunna [17]

Prime numbers have only 2 factors 1 and its number for example:
2, 3, 5, 7, 11, 13, 17, 19, 23

Like this 1*2. Or 3*1

Composite numbers have more than two factors for example :
0, 4, 6, 8, 9, 10, 12, 14 15, 16..

For example 0 has many factors
0 times 3 0times 4

8 0

3 years ago

Read 2 more answers

The number of days (d) is equal

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

$d \: = \frac{h}{24}$

$h \: = 24d$

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3 years ago