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
Amanda [17]
3 years ago
14

The city of Anvil is currently home to 21000 people, and the population has been growing at a continuous rate of 4% per year. Th

e city of Brinker is currently home to 7000 people, and the population has been growing at a continuous rate of 5% per year. In how many years will the populations of the two towns be equal
Mathematics
1 answer:
Yanka [14]3 years ago
4 0

Answer:

They'll reach the same population in approximately 113.24 years.

Step-by-step explanation:

Since both population grows at an exponential rate, then their population over the years can be found as:

\text{population}(t) = \text{population}(0)*(1 + \frac{r}{100})^t

For the city of Anvil:

\text{population anvil}(t) = 21000*(1.04)^t

For the city of Brinker:

\text{population brinker}(t) = 7000*(1.05)^t

We need to find the value of "t" that satisfies:

\text{population brinker}(t) = \text{population anvil}(t)\\21000*(1.04)^t = 7000*(1.05)^t\\ln[21000*(1.04)^t] = ln[7000*(1.05)^t]\\ln(21000) + t*ln(1.04) = ln(7000) + t*ln(1.05)\\9.952 + t*0.039 = 8.8536 + t*0.0487\\t*0.0487 - t*0.039 = 9.952 - 8.8536\\t*0.0097 = 1.0984\\t = \frac{1.0984}{0.0097}\\t = 113.24

They'll reach the same population in approximately 113.24 years.

You might be interested in
Kerry ordered a pizza: one half was topped with
myrzilka [38]

Answer:

3/10

Step-by-step explanation:

If both halves were equal.

½ × ½ = ¼

Closest option is 3/10

4 0
3 years ago
Please answer this question for me?
KIM [24]

Answer:

$16.96

Step-by-step explanation:

Do 3.99 times 2 to get 7.98

And then do 4.49 times 2 to get 8.98

Add the results together to get 16.96

3 0
3 years ago
Read 2 more answers
Please select the best answer from the choices provided
Ira Lisetskai [31]

<u>Answer:</u>

The correct answer option is c. \frac{1}{9a^2}.

<u>Step-by-step explanation:</u>

We are given an expression (27a^{-3})^{-\frac{2}{3} } and we are supposed to simplify it.

We can also write (27a^{-3})^{-\frac{2}{3} } as (\frac{3^3}{a^3} )^{-\frac{2}{3} }.

We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

\frac{3^{(3.-\frac{2}{3})} }{a^{(3.\frac{2}{3})} }\\\\\frac{3^{-2}}{a^2}\\ \\\frac{1}{3^2a^2} \\\\\frac{1}{9a^2}

Therefore, the correct answer option is c. \frac{1}{9a^2}.

4 0
3 years ago
Tomas buys a bag of 5 peaches for $3.55. Write and solve an equation to find how much money, m, Tomas paid for each peach
Orlov [11]

Answer:

Step-by-step explanation:

$3.55 ÷ 5 = .71 each peach

7 0
3 years ago
A flagpole casts a shadow that is 85 feet long. Paul is 6 feet tall, and while standing next to the flagpole, casts a shadow tha
hammer [34]

Answer:

51m

Step-by-step explanation:

-Paul is 6ft, and has a 10ft shadow. The pole has a 85ft shadow:

-Using ratios:

\frac{Height\ of \ object}{Height\ of \  shadow}

Let h be the height of the flagpole:

=>\frac{6}{10}=\frac{h}{85}\\\\h=\frac{6\times 85}{10}\\\\h=51

Hence, the height of the pole is 51m

6 0
3 years ago
Other questions:
  • How do you write 4/25 as a decimal
    13·1 answer
  • Simplify (4x^4y^3)^3/3(5x^2y^6)^2
    8·1 answer
  • In the number sentence 278-159=119. which number is the difference
    7·2 answers
  • I need help on this question.
    6·2 answers
  • I need help fast this is due tomorrow 1st period and can you explain please and thanks.
    9·2 answers
  • Please help! I’m bad at fractions
    9·1 answer
  • Help me please thank you very much
    13·1 answer
  • Find X and Y !!!!!<br> X=<br> Y=
    9·1 answer
  • Estimate 635/39 by first rounding each number so that each only has one 1 non-zero digit
    14·1 answer
  • Write the recurring decimal 0.2 as a fraction in its simplest form.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!