Answer:
49243
Step-by-step explanation:
Given that the population of rabbits on an island is growing exponentially.
Let the population, [tex]P=P_0e^{bt}[/tex]
where, [tex]P_0[/tex] and b are constants, t=(Current year -1994) is the time in years from 1994.
In 1994, t=0, the population of rabbit, P=9600, so
[tex]9600=P_0e^{b\times 0}[/tex]
So, [tex]P_0=9600[/tex]
and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400
[tex]18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\[/tex]
[tex]\ln(23/12}=6b \\\\[/tex]
[tex]b = \frac{\ln{1.92}}{6} \\\\[/tex]
b=0.109
On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is
[tex]P=9600 \times e^{0.109\times t}[/tex]
In 2009, t= 2009-1994=15 years,
So, the population of the rabbit in 2009
[tex]P=9600 \times e^{0.109\times 15}=49243[/tex]
Hence, the population of the rabbit in 2009 is 49243.
Which graph represents a function
What is the y-intercept of the function?
Answer:
-5
Step-by-step explanation:
What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)
Answer:
We validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Step-by-step explanation:
Given
A (−1, 4)→ A' (3, 3)
Here:
A(-1, 4) is the original pointA'(3, 3) is the image of AWe need to determine which translation operation brings the coordinates of the image A'(3, 3).
If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.
Thue, the rule of the translation will be:
A(x, y) → A' (x+4, y-1)
Let us check whether this translation rule validates the image coordinates.
A (x, y) → A' (x+4, y-1)
Given that A(-1, 4), so
A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)
Therefore, we validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
PLS HELP ME!!!!! IT IS TIMED
Answer:
C. 13
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Please answer correctly. I will give you the brainliest and 15 points!!! plzzzzzzzzzzzzz need ASAP
Which of these is not a possible r-value?
Answer:
D
Step-by-step explanation:
A value of greater than 1 is not a possible value of r or the correlation coefficient in statistics. Therefore, it is not D
Victoria moved into a new apartment and called to install her cable. They told her they charge $45 to install the cable box and $60 for each month of service. Which equation represents how much victoria will owe after x months?
Answer:
[tex]y=45+60x[/tex]
Step-by-step explanation:
Step one:
given data
The charge is $45 to install the cable box and $60 for each month of service
Required
The linear expression for the situation.
Step two:
let the number of months be x and let the total charges be y
Hence the expression for the total charges is
[tex]y=45+60x[/tex]
Pls help
A.
B.
C.
D.
Answer:
The answer is A so put it
Who's is the faster runner? Raj can run 1 1/3 laps in 1/4 of an hour. Yvonne can run 4 1/2 laps in 7/8 of an hour.
Directions - Graph the following slope intercept equation:
Answer:
?
Step-by-step explanation:
what percent is 52 out of 200
Should be 26, I believe.
Answer: 26
Percentage Calculator: 52 is what percent of 200? = 26.
Hope this helps..... Stay safe and have a great Christmas!!!! :D
Nick has $60 in a savings account that earns 5% interest per year. How much interest will he have in 1 year?
Find the value of x and y.
Answer:x=
14 y=12
Step-by-step explanation:
Determine whether the following graph represents a function
Yes because it has only one y intercept
Step-by-step explanation:
Anything that has more than one y intercept isn't function.
Answer:
Yes
Step-by-step explanation:
the function doesnt go straight up, you cant have the same x coordinate, it doesnt work out
Helpppppppppppppppppp
Answer:
6
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
90 Degrese Rotation
Identify the angle pair from the diagram above: <2 and <7
Answer:
2 and 7 are alternate exterior anglesStep-by-step explanation:
Alternate exterior angles are angles that are on different sides of the transversal and on the outside of the parallel lines. There is a theorem that says that alternate exterior angles are congruent if two parallel lines are cut by a transversal.
(-5,-3) (5,-4) slope =
Answer:
Your slope would be -1/10
Step-by-step explanation:
To find the slope from two points, you would use the formula y2-y1/x2-x1
In this case, the equation would look like -4-(-3)/5-(-5)
-4 - (-3) = -1
5 - (-5) = 10
-1/10 = -1/10
What are the points of the inverse graph of the graph listed below
Answer:
5 and -1.5 i believe
Step-by-step explanation:
Raul opened a savings account with 4300. Each week, x, Raul pays the dog sitter 30 from his savings account. Write a function, f(x), that is equal to the amount of money in the account after Raul pays the dog sitter each week.
Given:
Amount in the savings account = 4300
Each week, Raul pays the dog sitter 30 from his savings account.
To find:
The function, f(x), that is equal to the amount of money in the account after Raul pays the dog sitter each week.
Solution:
Let x be the number of weeks.
Raul pays the dog sitter in 1 week = 30
Raul pays the dog sitter in x week = 30x
Remaining amount = Initial amount - Amount he pays the dog sitter
[tex]f(x)=4300-30x[/tex]
Therefore, the required function is [tex]f(x)=4300-30x[/tex].
Solve 8 = x2 + 8x + 25 by completing the square.
Answer:
x = 4 ± 3i
I calculated it and I check my answer on a website. Enjoy!
I NEED THE CORRECT ANSWER IN ORDER TO PASS PLS HELP!
Write an equation for the following problem and Solve it.
A taxi cab in Myrtle Beach charges $2 per mile and $1 for every person. If a taxi cab ride for two people costs $12, how far did the taxi cab travel?
Answer:
i believe 5 miles
Step-by-step explanation:
$12 - $2 (for the two people in the taxi cab since it costs $1 every person)
= $10
then to find out the number of miles they traveled since it costs $2 you can divide 10 by 2 and get 5 which means they traveled 5 mes
Answer:
with two people and $12, the cab will travel 5 miles
Step-by-step explanation:
equation:
2x + y = 12
x - total distance
y - # of people
12 - total cost
2x + 2 = 12
x = 5 miles
11) Carla drives her motor scooter 1/4 mi
for 2 minutes. If she drives at the same speed,
how many miles will she travel in 2 hours?
A) 13
B) 14
C) 15
D) 16
E) 17
Answer:C) 15
Step-by-step explanation:
If she drives 1/4 mi in 2 minutes then she wouldve drive 1 mi in 8 minutes.
2 hours= 120 minutes
8/120=15
Please help with this
Answer:
20x+8+7=-105
20x(8+7)=-105
-15 to both sides 20x=-120
divide by 20 to both sides -120/20=-6
x=-6
Step-by-step explanation:
distributive property
addition property of equality
subtraction property of equality
division property of equality
WHAT IS THE RATE OF CHANGE HELP!!
Answer:
B) Y=85x
Step-by-step explanation:
The actual rate of change is 75 so you need to find which one(s) have a greater one. The other 2 that are equations have a less rate of change so it is B.
Hope this helps. Pls give brainliest.
(10 points) only answer section b plz
Will give brainliest!!!
Four friends worked together to wash all of the cars that the Kumar family owns. They received $43.00 for doing the work and agreed to divide the earnings evenly. How much money will each friend earn? Show how you know.
each friend will get
$ 10.75 because 43.00 is 10.75 if u divide it by 4 u will get 10.75
Answer:
$10.75
Step-by-step explanation:
If there are 4 friends evenly dividing $43.00 then you divide
43 by 4 to get
$10.75
Given the table, what is the linear equation?
x y
1 7
2 10
3 13
4 16
Answer:
yes
Step-by-step explanation:
There are 2 mixtures of light purple paint.
Mixture A is made with 5 cups of purple paint and 2 cups of white paint.
Mixture B is made with 15 cups of purple paint and 8 cups of white paint.
Which mixture is a lighter shade of purple?
A or B
Answer:
a
Step-by-step explanation:
George places $5,000 into an account that earns a simple interest of 4.3%. John places $5,500 into an account that earns 4%. Who has earned the most interest at the end of 6 years?
Answer/Step-by-step explanation:
George:
4.3% ÷ 100 = 0.043
0.043 × 5000 = 215
John:
4% ÷ 100 = 0.04
0.04 × 5500 = 220
End of 6 years:
George: 215 × 6 = 1290
John: 220 × 6 = 1320
John has earned the most interest at the end of 6yrs. $1320
I need help with this question. Thank you so much!
Answer:
D. -5
Step-by-step explanation:
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