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
The formula s=12at ^2 is used to calculate the distance s travelled by a bike when a=3 and t=10, each correct to the nearest int
seraphim [82]

Answer:

Step-by-step explanation:

Given the formula for calculating the distance travelled expressed as;

s=1/2at^2

Given

a = 3

t = 10

Required

lower bound of s

Substitute the given values into the equation;

s=1/2at^2

S = 1/2(3)(10)^2

S = 1/2 * 3 * 100

S = 3 * 50

S = 150

Hence the lower bound of distance S is 150

8 0
2 years ago
~PLEASE HELP ASAP OFFERING 10 POINTS~
Ipatiy [6.2K]
At every 1.0 unit, boiling point decreases 1.8 unit, which means the slope m = -1.8.
6 0
3 years ago
Check the consistency of 2x-3y=7 and x-2y+1=0
Furkat [3]

Answer:

x = 17, y = 9

or as an ordered pair, (17, 9).

The equations are consistent.

Step-by-step explanation:

2x - 3y = 7

x - 2y  = -1        Multiply this equation by -2:

-2x + 4y = 2     Add this to the first equation:

y = 9.

Plug y = 9 into the second equation:

x - 2*9 = -1

x = -1 + 18 = 17.

3 0
3 years ago
Find the midpoint between −18 and 52.
Mama L [17]
Finding the midpoint between two points on a line involves three steps:

1. Find the distance between the two points
2. Find half of that distance
3. Either add that half to the lowest point, or subtract it from the highest point.

To find the distance between 52 and -18, we can take the absolute value of their difference. The reason we take the absolute value is to force the sign to be positive, since distances can never be negative. -18 - 52 = -70, and |-70| = 70.

Second, we find half of that distance, which in this case would be 70/2 = 35.

Finally, we add that value to -18 to find a midpoint of -18 + 35 = 17.
5 0
3 years ago
A wall is 26 inches wide. Twelve inches is​ concrete, 9 inches is​ brick, and 5 inches is limestone. What fraction of the wall i
fiasKO [112]

the answer is 6/13 because 12/26 reduces so the answer is 6/13

3 0
3 years ago
Other questions:
  • Write the improper fraction as a mixed number or a whole number 13/4
    11·1 answer
  • What is the solution of the linear-quadratic system of equations?<br> y=x^2+5x-3<br> y-x=2
    10·2 answers
  • shen has ridden 4 miles of a bike course. the course is 40 miles long. what percentage of the course has shen ridden so far?
    8·1 answer
  • determinar el centro y el radio de la circuferencia completando los trinomio cuadrado perfecto x2 + y2 +64x -6y +64
    11·1 answer
  • Marissa owns 135 shares of stock. Her dividend is $0.50 per share. How many shares can she buy of a different stock selling for
    8·2 answers
  • Answer this pleaseee and fast i will chose your as the brainliest answer
    9·1 answer
  • Please answer asap!!!
    12·1 answer
  • the area of a triangle is 24 square centimeters. If the base of this triangle is 8 centimeters , find the number of centimeters
    12·1 answer
  • What single percentage change is equivalent to a 23% decrease followed by a 16% increase?
    11·1 answer
  • Goodmorning everyone I need help in math please, I need solution also​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!