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
natulia [17]
3 years ago
15

The population of a town has grown at an annual rate of 2.7%. How long does it take for it’s population of 18,450 people to doub

le at this growth rate? Explain
Mathematics
1 answer:
charle [14.2K]3 years ago
3 0
It would take 26 years.

The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time.  Using our information we have

y = 18450(1+0.027)ˣ = 18450(1.027)ˣ

We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ

Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ

Using logarithms, we have
\log_{1.027}2=x
\\
\\x=26.017
You might be interested in
Jan is saving for a skateboard she has saved 30 dollars already which is 20percent of the total price. How much does it cost?
Vesnalui [34]

Answer:

Step-by-step explanation:

so 20% of the total price equals $ 30

let x represent the total price

turn ur percent to a decimal

0.20x = 30

x = 30 / 0.20

x = 150 <=== total price

7 0
3 years ago
An IQ test is designed so that the mean is 100 and the standard deviation is 1414 for the population of normal adults. Find the
Amanda [17]

Answer:

37

Step-by-step explanation:

The first thing is to calculate critical z factor

the alpha and the critical z score for a confidence level of 90% is calculated as follows:

two sided alpha = (100% - 90%) / 200 = 0.05

critical z factor for two sided alpha of .05 is calculated as follows:

critical z factor = z factor for (1 - .05) = z factor for (.95) which through the attached graph becomes:

critical z factor = 2.58

Now we have the following formula:

ME = z * (sd / sqrt (N) ^ (1/2))

where ME is the margin of error and is equal to 6, sd is the standard deviation which is 14 and the value of z is 2.58

N the sample size and we want to know it, replacing:

6 = 2.58 * (14 / (N) ^ (1/2))

solving for N we have:

N = (2.58 * 14/6) ^ 2

N = 36.24

Which means that the sample size was 37.

5 0
3 years ago
How do you solve this?
SpyIntel [72]
I am not a college student so I am sorry or you could ask your friends.
4 0
3 years ago
an archaelogist in turkey discovers a spear head that contains 63% of its original amount of c-14. find the age of the spear hea
Akimi4 [234]
I got 4,620 years............
4 0
3 years ago
Write the following expression in decimal notation: 234 x 109.
Vikki [24]
234x10^9
=2.34x10^11
5 0
3 years ago
Other questions:
  • How to write six hundred thousand eight
    9·2 answers
  • If (A, B) is the solution to the system of equations shown above, and A and B are integers, then what is the value of A+B?
    8·2 answers
  • I need help with 13 please ASAP
    10·1 answer
  • Gina wrote that 4/5 is greater than 0.75. Is Gina correct? Explain why or why not
    6·2 answers
  • A research study investigated differences between male and female students. Based on the study results, we can assume the popula
    6·1 answer
  • In rectangle ABCD with side AD = 6 cm, point M is the midpoint of side
    14·1 answer
  • Which of the following best describes the ordered pairs listed below?
    7·1 answer
  • PLEASE HELP ILL GIVE BRAINLIEST
    8·2 answers
  • URGENT! TIMED QUESTION, WILL GIVE BRAINLIEST!
    7·1 answer
  • What is 70/3? *Please do not put the answer as a run-on decimal, thanks!*
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!