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
mestny [16]
3 years ago
15

According to a survey, the population of a city doubled in 12 years.

Mathematics
2 answers:
Ket [755]3 years ago
8 0

Answer:

5.78 and 18 respectively

Sergeeva-Olga [200]3 years ago
5 0

Answer:

5.78

19

Step-by-step explanation:

Let original population be, P = x

Growth in 12 years, A = 2x

Rate be = r

Time = 12years

<u>Find the rate :</u>

   A = P(1 + \frac{r}{100})^t

 2x = x(1 + \frac{r}{100})^{12}\\\\\frac{2x}{x} =(1 + \frac{r}{100})^{12}\\\\2 = (1 + \frac{r}{100})^{12}\\\\ \sqrt[12]{2} = (1 + \frac{r}{100})\\\\\sqrt[12]{2} - 1  = \frac{r}{100}\\\\2^{0.08} - 1 = \frac{r}{100}\\\\1.057 - 1 = \frac{r}{100}\\\\0.057 \times 100 = r\\\\r = 5.7 \%

The annual rate of increase of the population of this city is approximately 5.78.

<em><u>Find  time in which the population becomes 3 times.</u></em>

That is A = 3x

P = x

R= 5.78%

               A = P( 1 + \frac{r}{100})^t\\\\3x = x ( 1 + \frac{5.78}{100})^t\\\\3 = (1.0578)^t\\\\log \ 3 = t \times log \ 1.0578 \\\\t = \frac{log \ 3}{ log \ 1.0578 }\\\\t = 19.55

The population will grow to three times its current size in approximately 19years .

     

You might be interested in
A network charges $855,000 for a 30-second ad during a major televised sports event. The advertisers must purchase a minimum of
blondinia [14]
2,565,000 is the answer
7 0
2 years ago
C.) 4. Solve the system of equations
raketka [301]
You can set them equal to each other so -3x+4=4x-10 and then you add 3x and 10 on both sides and get7x=14 and then divided both sides by 7 and get x = 2 and check by plugging in and you get -2 for y on both so solution is x=2
7 0
2 years ago
A direct function of Gene is?
uranmaximum [27]
It is called proteins
5 0
3 years ago
Problem Page Alonzo will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $49.98
igomit [66]
You would start with the equation:Let m=number of miles

49.98+0.12m=35.98+0.17m

Then solve for m

You would then get

49.98+0.12m=35.98+0.17m
          -0.12m           -0.12m
 49.98=35.98+0.05m
-35.98  -35.98
14  = 0.05m
----    --------
0.05   0.05

280=m
5 0
2 years ago
Which unit of measure would be appropriate for the volume of a sphere with a
natta225 [31]

units like radius, height, width, length or segments are single units, like meter or feet.

areas are double units, so they'd be in say meter² or feet².

volumes are triple units, namely like meter³ or feet³.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which decimal is equivalent to 95
    6·2 answers
  • X+y=5<br> x^y+y^x=17<br> solve for the value of y and x
    14·1 answer
  • Two square roots for 25/4
    14·1 answer
  • Someone please help ASAP will give brainliest
    12·2 answers
  • A flag has a total area of 42 square feet.
    9·2 answers
  • #3 i don’t even understand what the question is asking for
    6·1 answer
  • Solve The Following System of equations by graphing<br><br>3x + y = 5<br>x - 4y = 32​
    6·1 answer
  • What does numeric data mean?<br>the following answer choices are in the image ​
    5·1 answer
  • ASAP Which of the following has 5.1012 in written form?
    9·2 answers
  • Will the answer to this expression be POSITIVE or NEGATIVE?<br><br> - 100 - (- 98)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!