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Alex17521 [72]
2 years ago
5

The exponential model A = 999.8 0.002t describes the population, A, of a country' in millions, t years after 2003. Use

Mathematics
1 answer:
marin [14]2 years ago
6 0

The population of the country will be 1051 million in 2014

<h3>How to model the population of the country?</h3>

The exponential model that describes the population of a country' in millions, t years after 2003 is given as:

A = 999.8 e0.002t

Rewrite the function properly as:

A = 999.8 * e^(0.002t)

When the population of the country is 1051 million, it means that:

A = 1051

Substitute the known values in the above equation

So, we have:

1051 =  999.8 * e^(0.002t)

Divide both sides by 999.8

1.0512 = e^(0.002t)

Take the natural logarithm of both sides of the equation

ln(1.0512) = ln(e^(0.002t)

Rewrite the equation as:

ln(e^(0.002t) = log(1.0512)

This gives

0.002t = log(1.0512)

Evaluate the logarithmic expression

0.002t = 0.0216

Divide both sides of the equation by 0.002

t = 0.0216/0.002

Evaluate the quotient

t = 10.8

Approximate 10.8 as 11

t = 11

11 years from 2003 is 2014

Hence, the population of the country will be 1051 million in 2014

Read more about exponential functions at:

brainly.com/question/11464095

#SPJ1

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Step-by-step explanation:

The solution set of an function is the set of all vales make the equation true. The equation has:

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∵ The equation is 18 - 3n + 2 = n + 20 - 4n

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In the equation of one variable, when we solve it if the variable is disappeared from the two sides, and the two sides of the equations are equal, then the variable can be any real numbers, if the two sides are not equal, then the variable couldn't be any value

∵ The the variable n is disappeared

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∴ n can be any real number

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The solution set of the equation is all reals

Learn more:

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