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Reika
3 months ago
15

In a city having a fixed population of P persons, the time rate of change of the number N of those people who have heard a certa

in rumor is proportional to the number of those who have not yet heard the rumor. After the rumor was started, a poll found that 15% of the population had heard the rumor after 5 days. Write a differential equation that models this phenomenon with P = 6100000, N(0) = 5600.
Mathematics
1 answer:
zzz [12.3K]3 months ago
4 0

The differential equation can be expressed as:

dN/dt = k(P-N)

dN/dt = k(6100000 - N)

Detailed explanation:

This indicates that the quantity N of individuals aware of a certain rumor is proportional to the number of those who have yet to learn of it.

The derivative of the number who has heard the rumor is denoted as dN/dt

dN/dt = k(P-N)

dN/dt = k(6100000 - N)

Where P denotes the city's total population = P = 6100000

k acts as the constant of proportionality.

(P-N) reflects the count of individuals who haven't heard the rumor.

You might be interested in
Suma numerelor de forma a4b cu produsul cifrelor 24 este egala cu
AnnZ [12381]

Answer:

The correct response is: b)

Step-by-step explanation:

a4b=24, where a × 4 × b = 24 implies a × b = 6

The pairs of numbers with a product of 6 include: {1,6} and {2,3}

In base 10, a4b translates to 100a + 40 + b

Calculating gives us:

100×1+40+6=146

100×6+40+1=641

100×2+40+3=243

100×3+40+2=342

Summing these results yields: 146 + 641 + 243 + 342 = 1372

The correct answer is: b)

6 0
4 months ago
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