The initial population is represented by
which is the population at
, in other words ![P_{0}=20,000](https://tex.z-dn.net/?f=P_%7B0%7D%3D20%2C000)
<h2>
Explanation:</h2>
Suppose you have the following problem:
<em>The population of Naguanagua in 2019 is estimated to be 20,000 people with an annual rate of increase of 4%. Which equation models the population of Naguanagua in t years?</em>
Let:
![P:Population \ of \ Naguanagua \\ \\ t:Number \ of \ years \ since \ 2019 \\ \\ r:Rate \ of \ increase](https://tex.z-dn.net/?f=P%3APopulation%20%5C%20of%20%5C%20Naguanagua%20%5C%5C%20%5C%5C%20t%3ANumber%20%5C%20of%20%5C%20years%20%5C%20since%20%5C%202019%20%5C%5C%20%5C%5C%20r%3ARate%20%5C%20of%20%5C%20increase)
So the population of Naguanagua can be modeled by the following equation:
![P=P_{0}(1+r)^t \\ \\ P_{0}=20,000 \\ \\ r=4\%=0.04 \\ \\ \\ P=20,000(1+0.04)^t \\ \\ P=20,000(1.04)^t](https://tex.z-dn.net/?f=P%3DP_%7B0%7D%281%2Br%29%5Et%20%5C%5C%20%5C%5C%20P_%7B0%7D%3D20%2C000%20%5C%5C%20%5C%5C%20r%3D4%5C%25%3D0.04%20%5C%5C%20%5C%5C%20%5C%5C%20P%3D20%2C000%281%2B0.04%29%5Et%20%5C%5C%20%5C%5C%20P%3D20%2C000%281.04%29%5Et)
So the initial population is represented by
which is the population at
, in other words ![P_{0}=20,000](https://tex.z-dn.net/?f=P_%7B0%7D%3D20%2C000)
<h2>Learn more:</h2>
Modeling Population: brainly.com/question/12485298
#LearnWithBrainly
Answer:
7th week
Step-by-step explanation:
Let us represent the number of weeks as x
Jill begins the summer with $500 in her savings account. Each week, she withdraws $20.
$500 - $20× x
500 - 20x
Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week.
$150 + $30 × x
150 + 30x
At what week will both Jill and Sam have the same amount in their account?
We solve this be Equating both Equations together
Jill = Sam
500 - 20x = 150 + 30x
Collect like terms
500 - 150 = 30x + 20x
350 = 50x
Divide both sides by 50
50x/50 = 350/50
x = 7 weeks
Therefore, at the 7 week, Jill and sam would have the same amount in their accounts
Answer:
The correct option is:
The student should have switched the direction of the inequality sign to get –5> x for a final answer
Step-by-step explanation:
The students has made a mistake in the 3rd step.
We know that when we multiply or divide any negative number on both sides of the inequality, the sign of inequality reverse its direction.
In step 3 the student divided 25 by -5 but did not switch direction of the inequality sign.
Therefore the correct option is: The student should have switched the direction of the inequality sign to get –5> x for a final answer