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3 years ago

Someone please help.. this is very importatnt

Mathematics

1 answer:

yuradex [85]3 years ago

7 0

I think the answer that u r looking for is C

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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

P(0) = 0 and P(50) = 1,500,000

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

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

The integrating factor 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

Use the figure to find n please.

ira [324]

Answer:

n = 5

Step-by-step explanation:

Since this is a right triangle, we can use trig

tan theta = opp /adj

tan 30 = n / 5 sqrt(3)

5 sqrt(3) tan 30 = n

5 sqrt(3) * 1/ sqrt(3) = n

5 = n

4 0

3 years ago

Read 2 more answers

What are three ordered pairs that have a proportional relationship

MaRussiya [10]

1-3
2-6
3-9 This is an example of porportional.

1-4
2-3
3-9 There is no pattern so thin is Non-Porportional.

7 0

3 years ago

MATH HELP!!!!! If y = 15 when x = 2, what is the value of x when y = 7?

Ede4ka [16]

Direct Variation: $\frac{y}{x} = k$

$\frac{15}{2} = k$

when y = 7: $\frac{7}{x} = \frac{15}{2}$

14 = 15x

$\frac{14}{15} = x$

Inverse variation: y*x = k

15 * 2 = k

30 = k

when y = 7: 7 * x = 30

$x = \frac{30}{7}$

3 0

3 years ago

Find the area of each sector.

nevsk [136]

Answer:

225

Step-by-step explanation:

360 - 135 = 225

7 0

3 years ago