1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paladinen [302]
3 years ago
7

Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

ion of Pleasantburg t years after January 1, 2012, is described by the quadratic model P(t)=0.9t2+6t+14,000. In what month and year will the population reach 21,100?
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
6 0

Answer: In June 2097

Step-by-step explanation:

According to the model, to find how many years t should take for  P(t)=21100 we must solve the equation  0.9t^2+6t+14000=21100. Substracting 21100 from both sides, this equation is equivalent to 0.9t^2+6t-7100=0.

Using the quadratic formula, the solutions are t_1= \frac{-6-\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=-92.21 and t_2=\frac{-6+\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=85.54. The solution t_1=-92.21 can be neglected as the time t is a nonnegative number, therefore t=t_2=85.54.

The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date  January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.

You might be interested in
What is the fourth term of the expression? 3x + 9y + 12r + 15s A) + B) 15 C) s D) 15s
Studentka2010 [4]
D.) 15s

The fourth term refers to the 15s together, not any part of the term apart.
6 0
3 years ago
Read 2 more answers
4. Nicky rode in 6 races this week She won one-third of her races.<br> How many races did she win?
Sergio039 [100]
Nicky won two races. One third of six is 2
5 0
3 years ago
Read 2 more answers
The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26
hjlf

Answer:

Probability that next week's show will have between 30 and 37 million viewers is 0.2248.

Step-by-step explanation:

We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.

<em>Let X = number of viewers for the American Idol television show</em>

So, X ~ N(\mu=26,\sigma^{2}=8^{2})

Now, the z score probability distribution is given by;

          Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 26 million

            \sigma = standard deviation = 8 million

So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X \leq 30)

    P(X < 37) = P( \frac{X-\mu}{\sigma} < \frac{37-26}{8} ) = P(Z < 1.38) = 0.91621

    P(X \leq 30) = P( \frac{X-\mu}{\sigma} \leq \frac{30-26}{8} ) = P(Z \leq 0.50) = 0.69146

<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>

Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.

4 0
3 years ago
5. Solve the equation. 8/x+3 = 1/x+1
Helga [31]

Answer:

x = -5/7

Step-by-step explanation:

8               1

---------- = ----------

x+3           x+1

Using cross products

8 (x+1) = 1 (x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x +8 = x-x+3

7x+8 =3

Subtract 8 from each side

7x +8-8 =3-8

7x = -5

Divide each side by 7

7x/7 = -5/7

x = -5/7

4 0
3 years ago
Factorizar: (11x3 – 2y)2 =
Juliette [100K]

Answer:

66-4y

Step-by-step explanation:

(11x3 – 2y)2
= (33 -2y)2
= 66-4y

6 0
3 years ago
Read 2 more answers
Other questions:
  • LEon made 4 liters of lemonade for the party, but it was too strong, it was 14% lemon juice. How much 8% lemonade should he add
    11·1 answer
  • The store has 28 notebooks in pack of 4. Three packs of notebooks are sold. How many packs of notebooks are left?
    12·2 answers
  • Bought large bag of seed and used 24% of bag. How many pounds in original bag if 15.2 pounds left?
    8·1 answer
  • In A XYZ If m2<br> and XZ = X<br> m2 Z, XY = 13% -21, YZ - 8% -6,<br> 4. Find the value of %.
    7·1 answer
  • Solve for x.<br> 3x/2 = 15<br> x = 10 1/2<br> x = 1/10<br> x=22 1/3<br> x = 10
    12·1 answer
  • Will give 60 points if completed. Please help me!
    15·2 answers
  • Si el gerente de control de calidad desea estimar la media de vida de lámparas con 20 horas, con un nivel de confianza del 95% y
    5·1 answer
  • Order 4/5, 1/4, 6/8, 5/9 from least to greatest
    9·2 answers
  • What is the equation of the line that passes through the point (-5, 1) and has a slope of -6/5?
    7·1 answer
  • A water station table at a marathon starts with 200 plastic cups on it. Every minute, 15 cups are taken from the table. How many
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!