In the year 1900, in the country Acirema, there were 100 Lawyers and 2 million people. Every 10 years, the number of Lawyers doubles, and the population increases by 2 million. Let t be the number of years after 1900. Thus t=3 corresponds to 1903. Find the equation involving t whose solution tells you in which year 20 percent of the population are Lawyers. DO NOT SOLVE OR BEGIN TO SOLVE THIS EQUATION..2=___________________?????

Answers

Answer 1

Answer: Well, there is a system:
$L=100*2^{(t)/(10)}$
$p=2000000+2000000*(t)/(10)$
$L=.2P$
I'd guess you need the last equation in a different form: $.2=(L)/(P)$

Answer 2

Answer:

The equation is $\boxed{0.2 = \frac{{100 * {2^{\frac{t}{{10}}}}}}{{2000000 + 2000000 * \frac{t}{{10}}}}}.$

Further explanation:

Explanation:

In the year 1900 the population of the country is 2 million.

The number of lawyers in 1900 is 100.

Every 10 years the number of lawyers doubles and the population increases by 2 million.

Consider number of the lawyer as $x$ and the population of the country as $y$ .

The expression of increasing the number of lawyers can be expressed as follows,

$x = 100 * {2^{\frac{t}{{10}}}}$

The population of the country can be expressed as follows,

$y = 2000000 + 2000000 * \frac{t}{{10}}$

20 percent of the populations are Lawyers.

$\begin{aligned}0.2y&= x\n0.2&= (x)/(y)\n0.2&= \frac{{100 * {2^{\frac{t}{{10}}}}}}{{2000000\left( {1 + \frac{t}{{10}}} \right)}}\n\end{aligned}$

The equation is $\boxed{0.2 = \frac{{100 * {2^{\frac{t}{{10}}}}}}{{2000000 + 2000000 * \frac{t}{{10}}}}}.$

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Exponential equation

Keywords: lawyers, in the year 1900, 100 lawyers, 2 million people, 10 years, Country, Acirema, lawyers double, population increase by 2 million, t, number of years, 1903, equation, involving t, solution, 20 percent population are laywers.

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