I need to know the answer ASAP thank you

Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the p

Gelneren [198K]

The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population will reach 250,000 people in 24.36 years.

For solving this question, you should apply the Population Growth Equation.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

$P_f=P_o*(1+\frac{R}{100} )^t$

Pf= future population

Po=initial population

r=growth rate

t= time (years)

STEP 1 - Find the constant rate of continuous growth, k, for this population.

For this exercise, you have:

Pf= future population= 185,000 in 2020.

Po=initial population =150,000 in 2010.

r=growth rate= ?

t= time (years)=2020-2010=10

Then,

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%$

STEP 2 - Find the <em>t</em> for population 250,000 people.

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36$

Read more about the population growth equation here:

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7 0

2 years ago

A line has a zero slope and passes through the point (-5,4). What is the equation of the line?

zhenek [66]

Answer:

y=4

Step-by-step explanation:The answer is y=4 because the line has no slope so it will not increase or decrease at a constant rate. If we were to plug it in it would be y=0/0+4. this basically means that the y-axis is equivalent to 0/0 (no slope) plus 4, we can then cancel out 0 since it is nothing simplifying the equation to y=4.

5 0

3 years ago

Is 63 a prime or composite number

egoroff_w [7]

$63|3 \\ 21|3 \\ 7 \ |7 \\ 1 \\\\ 63=3^2*7 \\\\ 63-composite \ number \ because \ it \ can \ be \ divided \ by \ D_{63=\{1;3;7;9;21;63 \}$

8 0

3 years ago

Read 2 more answers

Brand X copier advertises that its copiers run 24% longer between service calls than its competitor. If Brand X copiers run 59,8

Alexus [3.1K]

Answer:

The competitor will run 48,225.81 copies.

Step-by-step explanation:

Brand x copier run 59,800 copies between services

Brand X copiers run 24% longer between service calls than its competitor.

Let x = copies run by the competitor between services

Number of copies the competitor will run is

24% of x + x = 59,800

0.24x + x = 59,800

1.24x = 59,800

x= 59,800 / 1.24

x = 48,225.81

Therefore, the competitor will run 48,225.81 copies.

6 0

2 years ago

Plz help me!!!! I really need help!!!! <br><br> Solve for x

Delvig [45]

Answer:

try 35

Step-by-step explanation:

wow rly? delete my answer?

basically the angle 35 is on a parallel line which means that the angle opposite must be 35 as well since they are vertically opposite angles which makes them the same

then you use the alternate angles to work out the angle below 72 which will be 35

then lastly x should be 35 since vertically opposite angles are the same

8 0

3 years ago