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
ss7ja [257]
3 years ago
8

When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected

to grow rapidly at first but to level out when the population grows to near the maximum that the environment can support. Such growth is known as logistic population growth, and ecologists sometimes use a formula to describe it. The number N of deer present at time t (measured in years since the herd was introduced) on a certain wildlife reserve has been determined by ecologists to be given by the function N= 12.36 (12.36 divided by 0.03 + 0.55^t) ------------ 0.03 + 0.55^t (t is an exponent here) questions: i have the answers but i need help getting there... a. How many deer were initially on the reserve? 12 b. Calculate N (10) and explain the meaning of the number you have calculated. N(10)= 380 deer c. Express the number of deer present after 15 years using functional notation, and then calculate it. N(15)= 410 deer d. How much increase in the deer population do you expect from the 10th to the 15th year? 30 deer
Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

A. Initially, there were 12 deer.

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. After 15 years, there will be 410 deer.

D. The deer population incresed by 30 specimens.

Step-by-step explanation:

N=\frac{12.36}{0.03+0.55^t}

The amount of deer that were initally in the reserve corresponds to the value of N when t=0

N=\frac{12.36}{0.33+0.55^0}

N=\frac{12.36}{0.03+1} =\frac{12.36}{1.03} = 12

A. Initially, there were 12 deer.

B. N(10)=\frac{12.36}{0.03 + 0.55^t} =\frac{12.36}{0.03 + 0.0025}=\frac{12.36}{y}=380

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. N(15)=\frac{12.36}{0.03+0.55^15}=\frac{12.36}{0.03 + 0.00013}=\frac{12.36}{0.03013}= 410

C. After 15 years, there will be 410 deer.

D. The variation on the amount of deer from the 10th year to the 15th year is given by the next expression:

ΔN=N(15)-N(10)

ΔN=410 deer - 380 deer

ΔN= 30 deer.

D. The deer population incresed by 30 specimens.

You might be interested in
2. Who do you called the number in the expression 2x + 70 A variable B consioni C.bose D exponent​
Komok [63]

Answer:

The answer to this question would be constant

Step-by-step explanation:

4 0
3 years ago
Convert 6.32, 6, 6.215 into like decimals
lana66690 [7]

Answer:

6.320, 6.000, 6.215

Step-by-step explanation:

Three decimal points is the max number of decimal places between the three numbers (6.215). So, we need to convert the other numbers to have three decimal points as well.

4 0
3 years ago
Please help!<br><br> 7.5 in = ________ cm
Naya [18.7K]
The answer is 18 cm because 2.4 cm is in 1 inch. you must multiply 7.5 by 2.4 and get 18
3 0
3 years ago
Read 2 more answers
In the Holiday Shop the manager wants 20% of the total inventory in the stockroom and the rest displayed on the floor. After mee
Lilit [14]

Answer:

Total inventory: $175,000

Inventory in the stockroom: $35,000.

Inventory on the selling floor: $140,000.

Step-by-step explanation:

Let x be the the total inventory.

We have been given that in the Holiday Shop the manager wants 20% of the total inventory in the stockroom. You placed $35,000 of inventory in the stockroom.

We can set an equation such that 20% of x equals $35,000.

\frac{20}{100}\cdot x=\$35,000

0.20x=\$35,000

\frac{0.20x}{0.20}=\frac{\$35,000}{0.20}

x=\$175,000

Since $35,000 of inventory in the stockroom, so we will subtract $35,000 from $175,000.

\text{Amount of the inventory on the selling floor}=\$140,000

Therefore, $140,000 of the inventory on the selling floor.

7 0
3 years ago
If the typical balance on Lucy's credit card is $650 and the interest rate (APR) on her credit card is 18%, how much in interest
mafiozo [28]

General Idea:

Amount \; Charged \; in \; a \; Month \; = \; Monthly \; Interest \; Rate \; \times Typical \; Creditcard\; Balance\\ \\

Amount \; Charged \; in\; a\; month =\frac{18\%}{12} \times 650 \; = 0.015\times650=9.75

Conclusion:

Amount of interest that Lucy to be charged in a typical month is <u>$9.75</u>

7 0
3 years ago
Read 2 more answers
Other questions:
  • AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 50º.
    14·2 answers
  • 10 Michael has a drawer with 8 pairs of black socks and 12 pairs of white socks. Without looking he takes a white pair of socks
    14·2 answers
  • Can you guys pls help me with this problem
    5·1 answer
  • A data display that organizes data values into 4 parts, showing how spread out the data are
    15·1 answer
  • Number of seconds equal to 1/5 hour
    13·2 answers
  • What is the equation that can be used to find the number of dollars he paid per hour of labor
    5·1 answer
  • What is the equation of the following line? Be sure to scroll down first to see all answer options. (2,10) (0,0)​
    12·1 answer
  • Help me out please type it out
    13·1 answer
  • Solve the equation. 2 + |t+ 6| = 12
    14·2 answers
  • Rotate RST 90° counterclockwise around the origin.<br>​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!