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
Taya2010 [7]
3 years ago
11

In​ 2012, the population of a city was 6.27 million. The exponential growth rate was 1.47​% per year.

Mathematics
1 answer:
Tcecarenko [31]3 years ago
3 0

Answer:

a) a(t)= 6.27e^{0.0147*t}

b) 6.84 million

c) 2028.52

d) 47 years

Step-by-step explanation:

a)Here we know standard exponential growth rate is

a(t)= ae^{k*t}

In this put t=0 and a(t)=6.27 million

thus we get a = 6.27 million

now \frac{da}{dt}=a(t)k

  this is equal to(in 2012)=\frac{1.47}{100}*=0.0147

b)Put t = 6

we get

a(t)= 6.27e^{0.0147*6}

=6.84 million

c) 8 = 6.27e^{0.0147*t}

  take log both sides

we get 16.52 years

d) 2*6.27=6.27e^{0.0147*t}

take log both sides we get 47 years to get double the current population.

You might be interested in
All tubes of watercolor paint at an art supply store have the the same price. An artist has a coupon for $0.50 off each tube of
BlackZzzverrR [31]

Let us assume the regular price of each tube of paint = r.

0.50 off each tube.

New price of each tube = r - 0.50.

She buy 6 tubes.

Total price of 6 tubes = 6×(r-0.50).

We are given total price = $84.30 .

Therefore, we can setup an equation

6×(r-0.50) = 84.30.

Distributing 6 over (r-0.50), we get

6r - 3.0 = 84.30

Adding 3.0 on both sides, we get

6r - 3.0+3.0 = 84.30+3.0

6r = 87.30

Dividing both sides by 6, we get

6r/6 = 87.30/6

r = 14.55

<h3>Therefore, required equation is 6(r-0.50) = 84.30 and the regular price of each tube of paint is $14.55.</h3>
5 0
3 years ago
Can you find a math trick to play on a family member or friend? Be creative!
Makovka662 [10]
2x+3x=
X is simply a letter
6 0
3 years ago
F(x) = -2x - 1; Find f (x - 4)
qaws [65]

Answer:

B

if f(x-4) then we should put x-4 where the x is spouse to be so;

-2(x-4)-1 =

-2x + 8 - 1 =

-2x + 7

5 0
3 years ago
Find the area of the striped sector if ∠ A = 45° and the circle has a radius of 10 inches.
Pie
A diagram must be provided along with the question above. Based on my research, here is what I got.

<span>100 pi is the area of the entire circle
 That makes :
</span><span>∠ A = 45°/360 = 1/8
</span> 100pi/8 = 25 pi / 2
 
The answer is option D)25π over 2. I hope this answer helps.
4 0
3 years ago
Read 2 more answers
Find values for θ that make each statement true (show steps)
Ksju [112]

Answer:

Step-by-step explanation:

1. sinФ = cos 25

25 ° is in the between 0 and 90°

therefore it can simply represent

cosФ= sin (90-Ф) = sin (90 - 25) = sin 65

2. sin(Ф/3 + 10) = cos Ф

cos Ф = sin (90 -Ф)

sin(Ф/3 + 10) = cos Ф

sin(Ф/3 + 10) = cos Ф = sin(90-Ф)

Ф/3+10=90-Ф

10Ф+3/30 = 90-Ф

10Ф+3 = 30(90-Ф)

10Ф+3 = 2700-30Ф

10Ф+30Ф=2700-3

40Ф = 2697

Ф = 2697 / 40 = 67.425 ≅ 67.4°

4 0
3 years ago
Other questions:
  • What is the volume of the prism?<br><br>​
    6·1 answer
  • Im trying to pass the hardest quiz in the world(will give brainliest) the first question is
    8·2 answers
  • One month salary 10 rupess one person wroks only 1.5 day he wrok then how salary is come to her​
    14·1 answer
  • A number cube has sides numbered 1though 6 the probability of rolling a 2 is
    6·1 answer
  • To get from home to work, Felix can either take a bike path through the
    8·1 answer
  • Find the area please. Round to the nearest tenth if necessary.
    11·1 answer
  • What times 1/11 equals 1?
    15·1 answer
  • Can you please help meeeee
    13·2 answers
  • 4 dolares
    10·1 answer
  • Find the surface area of a cylinder with height of 8 feet and base diameter of 6 feet
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!