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Svetach [21]
3 years ago
7

The population of Stark county this year is 7,921 people. Last year the population was 7,547 people. Find the approximate percen

tage rate of growth of the county. A. 9.5% growth B. 1.05% growth C. 5% growth C. 0.95% growth

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

Option (C)

Step-by-step explanation:

To determine the population we use the formula,

P_n=P_0(1+r)^{n}

Where P_n = final population

P_0 = Initial population

r = percentage growth

Now we substitute these values in the formula,

7921=7547(1+r)^1

\frac{7921}{7547}=(1+r)

r = 1.0496 - 1

r = 0.0496

r = 0.05

Therefore, percentage growth of the population of Stark county is 5%.

Option (C). will be the answer.

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x*y' + y = 8x

y' + y/x = 8 .... divide everything by x

dy/dx + y/x = 8

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Note the left hand side is the result of using the product rule on xy. We technically didn't need the integrating factor since we already had the original equation in this format, but I wanted to use it anyway (since other ODE problems may not be as simple).

Since (xy)' turns into y + x*dy/dx, and vice versa, this means

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