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2 years ago

Help please (I have to write something else to send this question)

Mathematics

1 answer:

sp2606 [1]2 years ago

4 0

Answer:

You could do -2×1 which is -2

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An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The <em>integrating factor </em>is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

5 0

3 years ago

What is (27/8)^-2/3 ?

Paraphin [41]

Answer:

Step-by-step explanation:

7 0

2 years ago

Help meeeeeeeeee

hichkok12 [17]

Answer:it forms a parallelogram where the green and the red conjoin........ i think that is correct but I am not positive on my particular response. a answer is better than no answer though.....

Step-by-step explanation:

6 0

3 years ago

Abigail says that all the numbers ending 1 are prime. Is Abigail correct or incorrect

patriot [66]

Incorrect.
Go through the numbers and you'll find un-prime numbers ending in 1:
21, 81, 121,...

6 0

3 years ago

Read 2 more answers

The population of kansas city, missouri was 435,000 in 1990 and 482,300 in 2005. if the population is changing linearly, write a

Jlenok [28]

Find the slope of the line connecting (1990,435000) and (2005,482300):

482300-435000 47300
m = ----------------------- = ---------------- = 3153/yr (approx)
2005 - 1990 15 yr

Use the point-slope formula to find the equation of this str. line:

y-435000 = (3153/yr)(x-1990)

The year 2020 is 30 years after 1990. Thus, the expected pop in 2020 is

given by y-435000 = 3153(30) = 94590, so that y = 529590.

4 0

2 years ago

Help please (I have to write something else to send this question)​

Help please (I have to write something else to send this question)