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
juin [17]
3 years ago
11

There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes

at the sanctuary. Each year 4 more snakes are born.
Part A: Write functions to represent the numbers of parrots and snakes at the sanctuary throughout the years.
Part B: How many parrots are at the sanctuary after 10 years? How many snakes are at the sanctuary after the same number of years? Assume there are no deaths to the animals during this time.
Part C: After approximately how many years is the number of parrots and snakes the same? Justify your answer mathematically.
Mathematics
1 answer:
worty [1.4K]3 years ago
8 0
For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.

20(1.15),  20(1.15)², 20(1.15)³,

Function  = 20(1.15)^n      Where n is at the end of year, n =1, 2, 3, ..

Snakes are increasing by 4.

28, 32, 36,....

Function =  24 + 4n          n = number of end year,      n =1, 2, 3,...

<span>B) After 10 years:              </span>
Parrot =  20(1.15)¹⁰    = 80.91115471

Snakes =  24 + 4(10) = 64

<span>C) After what time they are the same: </span>
We use trial and error:


Test:  n                             20(1.15^n)                        (24 + 4n)
          1                                    23                                   28
          2                                    26.45                              32
<span>          3                                    30.41                             36    </span>
          4                                    34.98                              40
          5                                    40.23                              44
          6                                    46.26                              48
          7                                    53.20                              52
          8                                    61.18                              56
          9                                    70.36                              60

After year 7, the Parrots increases far more.
<span>At year 7 they are roughly the same.</span>
You might be interested in
Hjjhhhhhhjjjjjjjjhjjhhhhh hhhhhj h​
elena-s [515]

Answer:

YASSSSSSSS

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What decimal is equivalent to 3%?
cupoosta [38]
The answer is d, have a good day
6 0
3 years ago
Read 2 more answers
James spent $(2y2 + 6). He bought notebooks that each cost $(y2 − 1).
CaHeK987 [17]
The expression to find the number of notebooks James bought would be written as:

Number of notebooks = total spent / cost per item

Number of notebooks = (2y^2 + 6) / <span>(y^2 − 1)

</span><span>If y = 3, then the number of notebooks bought would be:

</span>Number of notebooks = (2y^2 + 6) / (y^2 − 1)
Number of notebooks = (2(3)^2 + 6) / (3^2 − 1)
Number of notebooks = 3 pieces<span>
</span><span>
</span>
7 0
3 years ago
Ian is going to water his plants .is it resasoable to say he will fill the watering can with 3liters of water explain
cluponka [151]
No! a liter is as much as a big bottle of soda! he should use 3 milileters. please vote me brainliest if i helped :) ❤️
6 0
3 years ago
Mrs. Greever has four square desks pushed
Sophie [7]

Answer111

Step-by-step explanation:i111

4 0
2 years ago
Other questions:
  • Can someone explain how to solve this?
    6·1 answer
  • What are quadratic binomial
    15·1 answer
  • 1. Mr. Blu has a rectangular kitchen that is 3x units wide and 4xy + 5x9y2 units long. He is replacing the old flooring with squ
    8·1 answer
  • What is 1/4 + 2/4 <br> Good luck
    14·1 answer
  • Amber and Will are in line together to buy tickets.Amber moves back by by 3 places three times to talk to friends .She then is i
    14·2 answers
  • Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 8 feet,
    13·1 answer
  • 3 over 7 - 5 over 6. Simplify and turned into a mixed fraction simplified
    13·1 answer
  • Choose the graph which represents the solution to the inequality. 12x + 4 ≤ -8
    9·1 answer
  • What is the explicit rule that describes the arithmetic sequence shown in the graph
    11·1 answer
  • Twice the difference of a number and 8 is equal to three times the sum of the number and 7. Find the number.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!