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
almond37 [142]
2 years ago
7

In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

year. In what year will the population be over 700,000? Show all work.
Mathematics
1 answer:
Firlakuza [10]2 years ago
8 0

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, P_0=450,000

Growth rate is, r=5\%=0.05

Final population is, P=700,000

A population growth is an exponential growth and is modeled by the following function:

P=P_0(1+r)^x

Taking log on both sides, we get:

\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}

Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

You might be interested in
480/X - 8 - 480/x = 3
Nataliya [291]

Answer:

i don't know its ans thank you

7 0
2 years ago
Read 2 more answers
18. Mabel gave Margo a bag containing red, white, and
Sedbober [7]
So if the bag contains half as many red marbles as blue ones, and there are 8 reds then there are 16 blues. 16 + 8= 24 if you want there to be 1/4 white marbles add 6. 6/30 is 1/4.

So the answer comes out to be 30 marbles in the bag
4 0
2 years ago
Read 2 more answers
Hey! please help i’ll give brainliest!
Eduardwww [97]

Answer:

B

Step-by-step explanation:

Hope this helps!!!

5 0
3 years ago
An arithmetic sequence has this recursive formula: (a^1 =8, a^n= a^n-1 -6
eduard

Answer:

a_n = 8 + (n - 1) (-6)

Step-by-step explanation:

Given

a_1 = 8

Recursive: a_{n} = a_{n-1} - 6

Required

Determine the formula

Substitute 2 for n to determine a_2

a_{2} = a_{2-1} - 6

a_{2} = a_{1} - 6

Substitute a_1 = 8

a_2 = 8 - 6

a_2 = 2

Next is to determine the common difference, d;

d = a_2 - a_1

d = 2 - 8

d = -6

The nth term of an arithmetic sequence is calculated as

a_n = a_1 + (n - 1)d

Substitute a_1 = 8 and d = -6

a_n = a_1 + (n - 1)d

a_n = 8 + (n - 1) (-6)

Hence, the nth term of the sequence can be calculated usinga_n = 8 + (n - 1) (-6)

3 0
3 years ago
Which graph is a function of x?m
Reil [10]

Answer:

Can you show me the fourth choice? I will be able to answer once you post it. If this is a four choice problem, then it is the choice that I can not see.

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • 5^-4•5^4•5^0 simplified expression
    8·1 answer
  • Evaluate cos0 if sin0= 5/3<br>​
    12·1 answer
  • Will the sum of two linear expressions each with an x-term , always,sometimes,or never have an x-term ? Explain your reasoning
    14·1 answer
  • A clown had 10 balloons that he sold at a carnival dor 6 cents each. if he sold all 10 balloons, how mush money did he make​
    6·2 answers
  • Please help me solve 9 and 13
    7·1 answer
  • Help plzzzz thanks guys for hleping
    14·1 answer
  • About 9% of th population is hopelessly romantic. If 2 people are randomly selected from the population, what is the probability
    6·1 answer
  • A right triangle has a hypotenuse of 43 cm and an angle of 56° opposite leg m. What is the length of leg m rounded to the neares
    13·2 answers
  • If 2x + 3y = 15 and xy = 6, find 4x2 + 9y2<br>Need a quick help for my homework please help.<br>​
    6·1 answer
  • Lol what.. its kinda bad tho
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!