3 years ago

Select all of the situation is below that can be modeled by the expression 4 + 3 *

Mathematics

1 answer:

gayaneshka [121]3 years ago

7 0

Answer:

3+4?

Step-by-step explanation:

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The population of a city is modeled by the equation P(t)=232012e0.23t where t is measure in years. If the city continues to grow

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In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

The population is modeled by the exponential equation:

$P(t) = 232,012*e^{0.23*t}$

Then we just need to solve the equation for t:

$P(t) = 232,012*e^{0.23*t} = 1,000,000$

Let's solve that:

$232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\$

If we apply the natural logarithm to both sides:

$ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35$

So in around 6.35 years, the population will be 1 million.

If you want to learn more about exponential equations:

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Select all of the situation is below that can be modeled by the expression 4 + 3 * ​

Select all of the situation is below that can be modeled by the expression 4 + 3 *