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Aleks04 [339]
3 years ago
8

What is 80% of 10% of 98.57

Mathematics
1 answer:
garri49 [273]3 years ago
3 0

Answer:

7.8856

Step-by-step explanation:

Do 10% of 98.75 which equals 9.857

Then do 80% of 9.857 which equals to the answer : 7.8856

:)

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The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If
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Answer:

t=7.85 years

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

\frac{dP}{dt}=aP

Where a is proportional constant, P the population variable, and t the time.

\frac{dP}{P}=adt

Integrating each side of the equation.

\int \frac{dP}{P}=\int adt

ln(P)=at+c

P=e^{at+c}

P=e^{c}e^{at}=Ce^{at}

To find C we need to use the initial condiction, it means evaluae P at t=0.

P_{0}=Ce^{0}=C

P=P_{0}e^{at}

Now, we use the sentence  the population has doubled in 5 years.

2P_{0}=P_{0}e^{a5}

We can find "a" in this condition.

2=e^{a5}

ln(2)=a5

a=\frac{ln(2)}{5}

a=0.14

Finally, let's find how long will it take to triple.

3P_{0}=P_{0}e^{0.14t}

3=e^{0.14t}

t=\frac{ln(3)}{0.14}

t=7.85 years

I hope it helps you!

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Step-by-step explanation:

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