Answers
Step-by-step explanation:
(a) dP/dt = kP (1 − P/L)
L is the carrying capacity (20 billion = 20,000 million).
Since P₀ is small compared to L, we can approximate the initial rate as:
(dP/dt)₀ ≈ kP₀
Using the maximum birth rate and death rate, the initial growth rate is 40 mil/year − 20 mil/year = 20 mil/year.
20 = k (6,100)
k = 1/305
dP/dt = 1/305 P (1 − (P/20,000))
(b) P(t) = 20,000 / (1 + Ce^(-t/305))
6,100 = 20,000 / (1 + C)
C = 2.279
P(t) = 20,000 / (1 + 2.279e^(-t/305))
P(10) = 20,000 / (1 + 2.279e^(-10/305))
P(10) = 6240 million
P(10) = 6.24 billion
This is less than the actual population of 6.9 billion.
(c) P(100) = 20,000 / (1 + 2.279e^(-100/305))
P(100) = 7570 million = 7.57 billion
P(600) = 20,000 / (1 + 2.279e^(-600/305))
P(600) = 15170 million = 15.17 billion
Related Questions
Find the value of x in the triangle.
Answers
Answer:
X = 65*
Step-by-step explanation:
Each triangle's angles equal 180*. So the equation you would type to find X is
180 - 65 - 50 = X
X = 65
Ms. Twillie's class (25 students) and Ms. Grober's class (24 students) are off to the Field Museum for a field trip. Their expenses will be as follows: the program cost $10 per student; the bus costs $235.20; and the group will have lunch at a charge of $2.75 per student. If every student participates in the field trip, how much do each of students have to pay to go on the field trip?
Answers
Answer: Each student need to pay $ 17.55 to go on the field trip.
Step-by-step explanation:
As per given, Total students = 25+24 = 49
Program cost per student = $10
Bus cost = $235.20
Charge per student =$2.75
Total cost of trip = (Program cost+ Charge per student ) (Total students)+ Bus cost
Total cost of trip = $ [( 10 +2.75)(49) + 235.20]
= $[12.75(49)+235.20]
= $ [624.75+235.20]
= $ 859.95
Each student have to pay = (Total cost of trip ) ÷ (Total students)
= (859.95 ) ÷ 49
= $ 17.55 [approx.]
Hence, Each student need to pay $17.55 to go on the field trip.
Select all that apply.
Which of the following decimal numbers are examples of terminating decimals?
0.6868
832.15902...
1,087.59014
9.12 5
23.7
14. 1
Answers
Answer:
First option
Sixth Option
Fifth Option
Third Option
Fourth Option
Step-by-step explanation:
Remember that a terminating decimal is a decimal that has a infinite amount of numbers after the decimal point. In this case we have 0.6868 which keeps going because it's repeating therefore it's a terminating decimal. Same rule goes for all the other options.
Hope this helps.
Evaluate the expression on top
Answers
Apply PEMDAS.
10^2 + (8)^2 - 5
100 + 16 - 5
116 - 5
Answer: 111
Answer:
The answer is 159!
Step-by-step explanation:
Use
Parantheses
Exponents
Multiplication
Division
Addition
Subtraction
Parantheses first, so your equation is now: 10^2 + 8^2-5
Then exponents! Now your equation is 100+64-5
Then simply do the addition + subtraction left to right, and your answer is 159. Also you don't have to but mind marking Brainliest? :D
which statement about 4(x-3) is true
A. 4(x-3) is a product
B. 4(x-3) has three terms
C. 4(x-3) has two terms
D. 4(x-3) is a sum
HELPPPP PLZ!!!!!!
Answers
the ratio of basketball to baseball is 5:4 what do i put basketball or basketball
Answers
Answer:
i'm not that sure what you mean but here's what i think your aksing..
Step-by-step explanation:
5 is for basketball and 4 is for baseball
Answer:
hi my name is trey and i have a basketball game tomorrow, well i'm a point guard and i got shoe game.
I really need help
Answers
Answer:
PEMDAS.
Step-by-step explanation:
draw the graph y = 4 x - 1 on the grid
Answers
Answer:
From the graph, it is also clear that at [tex]y=1[/tex], the value
of [tex]x=\frac{1}{2}[/tex].
Step-by-step explanation:
Given the equation
[tex]y = 4 x - 1[/tex]
The graph is attached below.
Putting [tex]y=1[/tex] in the equation to find the value of x
[tex]y = 4 x - 1[/tex]
[tex]1 = 4x-1[/tex]
[tex]2 = 4x[/tex]
[tex]x=\frac{2}{4}[/tex]
[tex]x=\frac{1}{2}[/tex]
From the graph, it is also clear that at [tex]y=1[/tex], the value
of [tex]x=\frac{1}{2}[/tex].
The measures of the three angles in a tri-
angle are in the ratio 1:2:3.
Answers
Answer:
30,60,90
Step-by-step explanation:
triangle are in the ratio 1:2:3.
So
Angles=X,2x,3x
X+2x+3x=180
6x=180
X=180/6
X=30
So angles are 30,60,90
What is this property?
Answers
Answer: Reflexive Property Of Congruence
Step-by-step explanation:
6. A total of 1,022 guests are attending a reception. If eachtable can seat
exactly 12 people, what is the LEAST number of tables needed to seat all
guests? *
Answers
meaning the least amount of tables needed is 85 to hold all 1022 guests
Answer:
86
Step-by-step explanation:
1022/12 = 85.16666 which would mean that 85 tables would hold 12 people (1020) and 1 table would hold 2 people. So 86 tables to seat all the guests .
Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. In how many hours will the order be complete with twice the number of working machines?
Answers
Answer:16
Step-by-step explanation:
Answer:
16 hours
Step-by-step explanation:
Explain how a telescope with a few mirrors inside allows us to see things kilometers away
Answers
Answer:
Telescopes have several curved lenses inside that reflect on mirrors that gather light.
Step-by-step explanation:
You can find more information on NASA as well. They have very interesting explanations and photos there. :)
Find the slope between the points (0,4) and (1,5).
Answers
Answer:
M = 1
Step-by-step explanation:
Use the m=y2-y1/x2-x-1 formula to plug in the given points.
Hope this helps!
Amy drew a map of Texas for Mrs.Smith’s class. According to Amy’s map scale, a half inch on the map represents approximately 28.5 kilometers. If the actual distance from Austin to Amarillo is approximately 798 kilometers, what is the approximate distance between Austin and Amarillo on Amy’s map?
Answers
Answer:
the distance between Austin and Amarillo on Amy's map is 14 inches
Step-by-step explanation:
798 ÷ 28.5 = 28
28 ÷ 2 = 14
If m<4=63, what is m<1?
Answers
Answer:
m<11=5.75
Step-by-step explanation:
since you already know what m<4 is
we just have to divide the result (63) by 4
63%4=15.75
therefore m<1= 15.75
Estimate the average rate of change of the graphed function, over the interval 0 ≤ x ≤ 2.
Answers
Answer:
A) 2
Step-by-step explanation:
(0,3) and (2,7)
Use slope formula
(7-3)/(2-0) = 4/2 = 2
Answer:
A) 2
Step-by-step explanation:
How many times does the digital one appear from 101 to 200
Answers
Answer:
119
Step-by-step explanation:
101: 2 times
102-109: 8 times
110: 2 times
111: 3 times
112-119: 16 times
120-129: 11 times
130-139: 11 times
140-149: 11 times
150-159: 11 times
160-169: 11 times
170-179: 11 times
180-189: 11 times
190-199: 11 times
Total: 119 times
Solve 162X - 1 = 64
Answers
Answer:
x=0.4012
Step-by-step explanation:
162X - 1 = 64
162x = 64 +1
162x= 65
x=65/162
x=0.4012
2. The cost of a computer has been discounted by $239, so that the sale price is $1230.
Find the original price of the computer, c, by solving the equation: C – 239 = 1230
Answers
Answer:
5 dolla footlong
Step-by-step explanation:
Evaluate the expression for the given values of the variables.
(n + 6)2 for n = -8
When n = -8, the expression is equal to
Fastttt
Answers
Answer:
Answer of this is... 4...
David wants to arrange the cars on his car lot. He wants to park the cars in rows with the same number of each type of car in each row. What is the greatest number of rows David can have?
A. 4
B. 12
C. 24
D. 84
PLEASE HURRY I WILL GIVE BRAINLIEST
Answers
The answer is C. 24
Sorry if I'm wrong
Answer:
A
Step-by-step explanation:
A plot of grass behind a building is shown.
A composite figure is shown.
The top horizontal side is labeled 16 meters. The left vertical side is labeled 8 meters and the right vertical side is labeled 16 meters. From the bottom corner of the left side, a horizontal side that is labeled 12 meters goes right. From its right end, a vertical side labeled 10 meters goes down. A line connects the bottom of this side to the bottom of the right vertical side.
What is the area of the plot of grass?
Answers
Hey did you ever get the answer to this question because I need it
given g(x)=-x+3. solve for x when g(x)=-1
Answers
Answer:
Step-by-step explanation:
- x + 3 = - 1 ⇒ x = 4
Answer:
4
Step-by-step explanation:
g(x) = -x + 3
g(-1) = -(-1) + 3
=1+3
=4
Penny makes 5 liters of applesauce. She saves 0.17 liter for dinner and puts the rest in jars. If each jar holds 0.69 liter, how many jars can she fill?
Answers
Answer:
8 jars
Step-by-step explanation:
Find to 3 decimal places the value of t for the distribution for the following.
Area in the left tail 0.005 and n= 25.
Answers
Answer:
-2.797
Step-by-sep explanation:
The area in the left tail is the level of significance = [tex] \alpha = 0.005 [/tex]
n = 25
Since sample size, n, = 25,
Degree of freedom = n - 1 = 25 - 1 = 24
The value of t for the t distribution, that is the t critical value, would be:
[tex] -t\binom{n - 1}{\alpha} = -t\binom{9}{0.005} [/tex]
The t critical value can be gotten from the t-table at the intersection of the row representing 24 degrees of freedom and the [tex] t_{0.005} [/tex] column. This would give us -2.797
The t critical value of the left tail would be critical value is -2.797.
Find the measure of angle b.
Answers
Answer:
23 degrees
Step-by-step explanation:
157+b=180
A gym membership fee is $24 .Members pay an additional $3 each time they go.Non-members don’t pay the fee , but pay $6 each time they go.How many times would you have to go for the cost to be the same?
Answers
Answer:
Step-by-step explanation:
Directions are on the sheet. Please help. 35 is correct btw.
Answers
the answer is 55.6.....
Answer:
Step-by-step explanation:
2x + y = 90.6
2x + 35 = 90.6
2x = 55.6
x = 27.8
A hole is being dug into the ground at a rate of 5.3 feet per minute. Write an integer to describe the depth of the hole after 15 minutes.
Answers
Answer:
79.5 feet
Step-by-step explanation:
5.3 per minute can also be written as the ratio 5.3:1. so if we have x:15, we can see that we've multiplied the right side by 15 so we have to do the same to the other side. 15 times 5.3 is 79.5. so thats your answer.
i hope this helps :))
The integer that explained the depth of the hole after 15 minutes is 79.5 feet.
Given that,
The rate should be 5.3 feet per minute.The time in minutes should be 15 minutes.So, the integer that explained the depth of the hole after 15 minutes is
[tex]= Rate \times time \\\\= 5.3 \times 15\\= 79.5\ feet[/tex]
Therefore we can conclude that the integer that explained the depth of the hole after 15 minutes is 79.5 feet.
Learn more about the integer here: brainly.com/question/14232618