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
bearhunter [10]
3 years ago
6

A village experienced 2% population growth, compounded continuously, each year for 10 years. At the end of the 10 years, the pop

ulation was 158.
1. What was the population of the village at the beginning of the 10 years according to the exponential growth function? Round your answer up to the next whole number, and do not include units.
Mathematics
2 answers:
pantera1 [17]3 years ago
6 0

Answer:

The initial population at the beginning of the 10 years was 129.

Step-by-step explanation:

The population of the village may be modeled by the following function.

P(t) = P_{0}e^{rt}

In which P is the population after t hours, P_{0} is the initial population and r is the growth rate, in decimal.

In this problem, we have that:

P(10) = 158, r = 0.02.

So

158 = P_{0}e^{0.02*10}

P_{0} = 158*e^{-0.2}

P_{0} = 129

The initial population at the beginning of the 10 years was 129.

EastWind [94]3 years ago
4 0

Answer:

Step-by-step explanation:

The formula representing the population growth after t years can be expressed as

A = P(1+r/n)^nt

Where

A is the population of the village after t years.

P represents the initial population of the village at the beginning of the 10 years.

r represents population growth rate

n represents the number of times that the population was compounded in each year.

From the given information,

A = 158

r = 2% = 2/100 = 0.02

t = 10 years

n = 1 because it was compounded continuously each year.

Therefore

158 = P(1+0.02/1)^1×10

158 = P(1.02)^10

P = 158/(1.02)^10 = 129.615

Approximately 130 to the nearest whole number.

You might be interested in
John took a 5 ½ mile walk to his friend’s house. He left at 11 a.m. and arrived at his friend’s house at 1 p.m. What was John’s
olganol [36]

Answer:

5.5 miles over 2 hours--> 5.5/2= 2.75 miles per hour was his average walking speed. 5.5 miles over 2.5 hours --> 5.5/2.5= 2.2 miles per hour on the return trip meaning that his average speed was (2.75-2.2= 0.55) 0.55 miles per hour lower on the return trip

Step-by-step explanation:

I hope this helps you :)

<em><u>-KeairaDickson</u></em>

7 0
3 years ago
Help Please!?
swat32
You can use sin cos or tan to solve this
8 0
2 years ago
Read 2 more answers
Abcdefg I need help on math please
Verizon [17]

5*5+5=30 5*5-15=10 30/10= 3

3 0
2 years ago
Read 2 more answers
Find the mean, variance, and standard deviation. If necessary, round your answer to the nearest hundredth.
storchak [24]

Your answer would be 4.

4 0
2 years ago
In math class, you have the following scores: 77, 82, and 73. If the
ziro4ka [17]

Answer: 88

Step-by-step explanation: 77+82+73= 232. So you need an 80 for average. So what you have to do is 80x4 and that equals to 320. last step is to subtract 320-232 and you get 88. 77+82+73+88=320.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Perform the indicated operation​ and, if​ possible simplify<br> 2/3-1/7
    5·1 answer
  • Sandy works at a clothing store. She makes $7 per hour plus earns 15% commission on her sales. She worked 72 hours over the last
    14·1 answer
  • Miguel is making a snack mix. The recipe calls for six parts of spicy tortilla chips to three parts of corn chips. Miguel would
    10·2 answers
  • Find the LCM of these numbers: 18, 27
    11·1 answer
  • In the diagram line mn and jk are parallel and are intersected by line at
    6·2 answers
  • Can somebody explain how to do this problem?
    10·2 answers
  • Viktor earns $15.75 per hour cleaning pools. How much money will Viktor earn if he cleans 22 pools? Round your answer to the nea
    11·1 answer
  • Linda gets paid $80 per day. Unfortunately Linda went home sick after working 1/3 of the day on Friday. At her company they don’
    8·1 answer
  • The nutrition committee at a middle school has decided to find out which vegetables are most popular among the 500 students at t
    9·2 answers
  • Which is the first error that Tomas made?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!