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
romanna [79]
2 years ago
15

A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,

what will be the population of moose after 12 years? Show all your work! Round your answer to the nearest whole number.
Mathematics
1 answer:
EleoNora [17]2 years ago
7 0

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
You might be interested in
Someone came into a store and stole 100 dollars from the register. The person returned 5 minutes later and purchased 70 dollars
Nataliya [291]
Think of it this way. Ignore for now that $100 was stolen.

The purchase of the $70 item for $100 cash with $30 change is a perfectly fair purchase. The store received $100 cash, and the store gave $70 worth of merchandise plus $30 cash.There was no loss to the store there.

The fact that $100 in cash was stolen earlier from cash register means the loss is $100. The legitimate transaction does not affect the loss.

If you have a hard time understanding the loss is $100, then think of it this way.
Reverse the order of the two happenings.

A person walked into a store and bought a $70 item with a $100 bill. He received $30 change. So far, there is no loss to the store. Everything is legit.

That customer later came back to the store and stole $100 from the cash register.

Here we see clearly that the loss is exactly $100. It is simply the $100 stolen from the cash register.
5 0
3 years ago
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f
Delicious77 [7]

Answer:

AYOOOOO MONEY CHECK

Step-by-step explanation:

8 0
3 years ago
Joe has eaten 2/5 of a pizza. Jane has eaten 1/8 of a pizza how many times more pizza has joe eaten than Jane
Allushta [10]

Well, the first thing you would do is find like denominators for each fraction.

Since the smallest common term between the two is 40, that will be your denominator for each. Then you would multiply the numerator by the number your denominator was multiplied to get to 40. So, you would end up with 16/40 because 5*8=40 and 2*8=16 and 5/40 because 8*5=40 and 1*5=5.

After that, you would just subtract them.

16/40 - 5/40 = 11/40 and as a decimal that is 0.275. So, Joe has eaten 0.275 more pizza than Jane.

Hope this helps! :)


6 0
3 years ago
Because the car that has a terrible oil leak not only as a new battery for the van but also slows him down because he needs the
Thepotemich [5.8K]
11 hours and 15 minutes to drive 500 miles
5 0
3 years ago
Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Bus
Licemer1 [7]

Answer:

Let the complaints by Industry be CbI

CbI               Frequency

Bank            26

Cable           44

Car               42

Cell               60

Collection     28

b) Percentages

CbI               percentage (%)

Bank              13

Cable            22

Car                21

Cell               30

Collection     14

c) The industry with the highest number of complaints is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

Step-by-step explanation:

a) The frequencies are simply the number of times each industry sector sent in a complaint. So, it's straight forward to present.

b) The percentage for each industry is done in comparison to the the total amount of complaints received.

Percentage for each industry = 100% × (Number of complaints from that industry)/(Total number of complaints)

Total amount of complaints received = 200

For Bank industry,

Percentage = 100% × (26/200) = 13%

For the Cable Industry,

Percentage = 100% × (44/200) = 22%

For Car industry,

Percentage = 100% × (42/200) = 21%

For Cell industry,

Percentage = 100% × (60/200) = 30%

For Collection industry,

Percentage = 100% × (28/200) = 14%

c) The industry with the highest number of complaints is the one with the highest frequency and percentage, and that is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

7 0
3 years ago
Other questions:
  • Evaluate -3x^3 - 4x for x =<br><br> A. 7<br><br> B. -1<br><br> C. 1
    9·1 answer
  • An element with a mass of 970 g decays by 15.1% per minute how much of the element remaining after 14 minutes
    13·2 answers
  • ENTER numbers into the table so that the paired values are in a proportional relationship.
    12·1 answer
  • The difference between the observed values of a variable and the long-run average of the observed values in repetitions of the m
    11·1 answer
  • Solve the equation.
    15·1 answer
  • Solve the following literal equation for w X = wy/c
    10·1 answer
  • 43.778 subtracted by 77.2
    10·1 answer
  • the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respec
    9·1 answer
  • 26<br> Which defines a circle?
    14·2 answers
  • A screening test for a newly discovered disease is being evaluated for its performance as a screening test. In order to determin
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!