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3 years ago

Find the percent from 85 to 30

Mathematics

1 answer:

Zanzabum3 years ago

6 0

Answer:

25.5

Step-by-step explanation:

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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

how to solve and write three times a number s plus 4 times a number y is 1 more than 6 times the number s. solve for s

Rasek [7]

3s+4y=1+6s
minus 3s both sides
4y=1+3s
minus 1
4y-1=3s
divide by 3
$\frac{4y-1}{3} =s$

3 0

3 years ago

Help me please and thank you

Kisachek [45]

Answer:

12.5 un^2

Step-by-step explanation:

The formula for area of a trapezoid is (a+b)/2 *h

a and b are the shorter and longer bases respectively. H is height, you have both.

Simply plug it into the equation and find your answer.

(2.5+7.5)/2 *2.5 = 5*2.5 which is equal to 12.5. Add units.

8 0

3 years ago

Based on its degree, what kind of polynomial is this? h(x) = 4x^4 + 2x - 5

cestrela7 [59]

Answer:

Quartic

Step-by-step explanation:

Given

$h(x) = 4x^4 + 2x - 5$

Required

Name the polynomial

The question required that the polynomial be named based on its degree.

This implies that, we name the polynomial based on the highest power of x

Highest power of x = 4

When the highest power of x in a polynomial is 4, such polynomial is a quartic polynomial.

Hence, by degree; the polynomial is quartic

5 0

2 years ago

What is the GCF of 12 and 57?

iogann1982 [59]

Answer:

Step-by-step explanation:

12/3=4

57/3=19

5 0

2 years ago

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Find the percent from 85 to 30​

Find the percent from 85 to 30