Answers
Answer:
a_n = 39(1.06)^(n - 1)
Step-by-step explanation:
We are told that a_n is the number of raccoons in a given n number of years.
After 6 years, there are 52 raccoons.
Also after 8 years there are 58 raccoons.
Using formula for geometric sequence, we have;
a_n = ar^(n - 1)
After 6 years, there are 52 raccoons
Thus;
a_6 = 52 = ar^(6 - 1)
ar^(5) = 52 - - - (eq 1)
Also after 8 years there are 58 raccoons. Thus;
a_8 = 58 = ar^(8 - 1)
ar^(7) = 58 - - - (eq 2)
Divide eq 1 by eq 2 to get;
(r^(7))/(r^(5)) = 58/52
r² = 58/52
r = √(58/52)
r ≈ 1.06
Put 1.06 for r in eq 1 to get;
a(1.06)^(5) = 52
1.3382a = 52
a = 52/1.3382
a ≈ 39
Thus,the explicit rule is;
a_n = 39(1.06)^(n - 1)
Related Questions
What is the result of subtracting the second equation from the first?
x−3y=6
−8x−y=6
Answers
Answer:
9x - 2y = 0
Step-by-step explanation:
Given
x - 3y = 6 → (1)
- 8x - y = 6 → (2)
Subtracting (2) from (1) term by term gives
x - (- 8y) - 3y - (- y) = 6 - 6 , that is
x + 8y - 3y + y = 0
9x - 2y = 0
I NEED THIS QUICK HELP!
Pilar bought 2/3 pound of turkey. She ate 1/4 of the turkey that she bought for lunch.
How many pounds of turkey did she eat?
Enter your answer in the box as a fraction in simplest form.
Answers
Answer:
1/6 lbs
Step-by-step explanation:
2 1 1
- X - = -
3 4 6
Answer: She ate 5/12 of the turkey.
Step-by-step explanation:
First, find a common denominator by multiplying each fraction by the denominator of the other. By doing this, you should get 8/12, and 3/12.
Next, subtract them!
ex: 2/3= 8/12
1/4=3/12
8/12-3/12=5/12
help me out? please !
Answers
Answer:
trapezoid
Step-by-step explanation:
HELLPPP Fill in the blank
____ crystallizes from fluid lava and points to the north magnetic pole is the lava cools
Answers
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation. Point: (5,4) Equation: y = 2/5x - 2
Answers
Answer:
y = (2/5)x + 2
Step-by-step explanation:
The given equation y = (2/5)x - 2 is already in slope-intercept form. The equation of the new line has precisely that form, except that the constant is different. To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:
4 = (2/5)(5) + C, or
4 = 2 + C. Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.
Answer ASAP this practice is due tomorrow
Answers
Answer:
i think it's Z = 8,4
I'm not sure
HELP ASAP
6+ x - y + 10=
Answers
Answer:
x-y+16
Step-by-step explanation:
add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)
Help with this would mean a lot 12 points!!
Answers
Answer: I can only solve #3 The asnwer is -1.65x
Step-by-step explanation:
Multiplying a positive and a negative equals a negative
(+)x(-)=(-)
-X x 5.5 x 0.2 x 1.5. <---- Calculate the product
and you will get -1.65x
For the function w, w(3) = -2 and w(-2) = 8. If y = w(x), what is the value of y when
x = -2?
Answers
Answer:
6
Step-by-step explanation:
i took the test on edge
Please help.
Algebra.
Answers
what do you need help with?
Where is the question?
Please make sure to input complete.
8 (n + 2) = __n + __
Answers
Answer:
The blanks are 8 and 16
Step-by-step explanation:
Distribute the 8:
8(n + 2) = 8*n + 8*2 = 8n + 16
8 (n + 2)
8 x n + 8 x 2
= 8n + 16
Solve
2-x
3
25x – 33
= 3x - 1
Answers
Answer:
-75 x^2 - 31 = 3 x - 1
Step-by-step explanation:
Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation? Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8
Answers
Answer:Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8
Step-by-step explanation:
Answer: -8
Step-by-step explanation:
Enter the correct 4 digit code (no spaces)
Answers
Answer:
9999
Step-by-step explanation:
Answer:
6969
Step-by-step explanation:
Item 9 Forty-five basketball players participate in a tournament. Write and solve an equation to find the number x of 3-person teams that they can form. An equation that represents this problem is =45. They can form 3-person teams.
Answers
Answer: See explanation
Step-by-step explanation:
Since forty-five basketball players participated in the tournament and a 3-person team wants to be formed, the equation to find the number x of 3-person teams that they can form will be:
3x = 45
x = 45/3
x = 15
Therefore, 15 3-person team can be formed.
What is the domain and range if the equation is y= x^2 -2x -8
Answers
Answer:
Domain :
R (all real numbers)
Range :
{y element R : y>=-9}
Mike plans to train for a race by running 8 miles each day for 15 days. He will run at an average speed of 6 miles per hour. At that rate, what is the total number of hours Mike will spend running?
Answers
in long division 42 divided by 966
Answers
i think you meant 42 divided by 966 but if it true, then its 1/23 in exact form but in decimal, its 0.04347826 ...
hope this helps :)
what number is one hundred more than 890
Answers
Answer:
990
Do 100+890
its simple math
The number that is one hundred more than 890 would be,
⇒ 990
The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that,
To find a number that is one hundred more than 890.
Let us assume that,
The number that is one hundred more than 890 = x
Hence, it can be written as,
⇒ x = 890 + 100
Solve for x,
⇒ x = 990
Therefore, the number that is one hundred more than 890 = 990
To learn more about the addition visit:
https://brainly.com/question/25421984
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A parabola can be drawn given a focus of (6,-2)and a directrix of x = -−3. What can be said about the parabola?
Answers
Answer:4
Step-by-step explanation:
6,-2=x-3=4
You have completed 35% of your workout. Your workout is 35 minutes long. How much time do you have left?
Answers
Answer:
You have 12.25 minutes left to workout.
Step-by-step explanation:
What is the measure of the radius of OM?
128
O A. 14.8 units
S
7.4
7.4
O B. 12.8 units
C. 7.4 units
D. 3.7 units
Answers
Answer:
it should be 7.4
Step-by-step explanation:
The measure of the radius of OM is 7.4 units. Therefore, option B is the correct answer.
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
Radius of a circle is the distance from the center of the circle to any point on it's circumference.
Here, SM=OM=7.4 units
Therefore, option B is the correct answer.
To learn more about the circle visit:
https://brainly.com/question/11833983.
#SPJ7
.BAKSHWOSJASHAIAJHSUAISHA
Answers
i agree with this statement completely sign me up
An atom of a certain element has 37 protons, 37 electrons, and a mass number of 85. How many neutrons are
in this atom?
Answers
Answer:
There will be 48 neutrons.
Step-by-step explanation:
Hope this helps and have a great day :)
There will be 48 neutrons in this atom.
What is mass number?The mass number of an element is the number obtained when the number of protons and neutrons in the nucleus of an atom of the element are summed together.
The addition of protons and neutrons in the nucleus of an atom is collectively known as the nucleon. Thus, the mass number of an atom can also be referred to as the nucleon of the atom.
This can be mathematically expressed as follows;
Mass number = number of protons + number of neutrons.
We are given that atom of a certain element has 37 protons, 37 electrons, and a mass number of 85.
So,
Mass number = number of protons + number of neutrons.
85 = 37 + n
n = 85 - 37
n = 48
More on mass number can be found here: brainly.com/question/4408975
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Please help me I need it!!!!
Answers
Answer:
d
Step-by-step explanation:
because it starts off under the water which is -24 then you add a positive 24 to get to sea level
Answer:
the distance above sea level after increasing 24 meters from a depth of 24 meters below sea level
Step-by-step explanation:
equation- -24m + 24m = 0
the answer to the first one is -10 (-5 - 5 - -10)
the answer to the second one is 1,000 (0 + 1,000 = 1,000)
the answer to the third one is 10 ( 20 - 10 = 10)
the answer to the fourth one is 0 (-24 + 24 = 0)
Matthew drives at an average speed of 62mph for 5 hours how many miles does matthew drive?
Answers
Answer:
He drove 310 miles per hour
Step-by-step explanation:
So this means that in one hour he drives 62 miles
to find how much in five hours multiply 5 by 62
5x62=310miles
Answer:52
Step-by-step explanation:
Find x and y so that the quadrilateral is a parallelogram.
Answers
Answer:
Result:
The value of x = 12The value of y = 21Step-by-step explanation:
Given
The parallelogram DEFG
DE = 6x-12
FG = 2x+36
EF = 4y
DG = 6y-42
We know that the opposite sides of a parallelogram are equal.
As DE and FG are opposite sides, so
DE = FG
substituting DE = 6x-12 and FG = 2x+36 in the equation
6x-12 = 2x+36
6x-2x = 36+12
simplifying
4x = 48
dividing both sides by 4
4x/4 = 48/4
x = 12
Therefore,
The value of x = 12
Also, EF and DG are opposite sides, so
EF = DG
substituting EF = 4y and DG = 6y-42 in the equation
4y = 6y-42
switching sides
6y-42 = 4y
6y-4y = 42
2y = 42
dividing both sides by 2
2y/2 = 42/2
y = 21
Therefore,
The value of y = 21
Result:
The value of x = 12The value of y = 2118 x 5 Use mental math to solve. Find as many strategies as you can to solve. Record and describe each strategy.
Answers
Answer:
Here are a few ways that I do that:
18 * 5 is the same as (10 + 8) * 5, which equals 50 + 40, which is 90
It's also the same as (20 - 2) * 5, which equals 100 - 10, again, 90
It's also 9 * 2 * 5, which equals 9 * 10, or 90
It's also 3 * 6 * 5, or 3 * 30, which is 90.
If answered correctly, I will give brainliest and 30 points. i also need this asap.
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answers
Answer:
First, let's find the equations for our lines:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
f(x) passes through (5,0) and (10, 10), then the slope is:
a = (10 - 0)/(10 - 5) = 10/5 = 2.
then we have:
y = 2*x + b
And when x = 5, we have y = 0.
0 = 2*5 + b
0 = 10 + b
b = -10
Then the equation for f(x) is:
y = f(x) = 2*x - 10.
Now for g(x) we have the points:
(3, 0) and (2, 10)
a = (10 - 0)/(2 - 3) = -10
y = -10*x + b
0 = -10*3 + b
b = 30.
y = g(x) = -10*x + 30.
A) Ok, the transformations:
Transformation 1 or T1.
f(x) = 2*x - 10
g(x) = -10*x + 30.
Then, we start with f(x):
First, we can move f(x) up 4 units and get:
f'(x) = 2*X - 6
Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:
f''(x) = -5*f'(x) = -10*x + 30.
And this is g(x).
Transformation 2 or T2.
Move f(x) up 10 units, so now we have:
f'(x) = 2*x
Do a reflection over the x-axis, so the sign of y changes, and now we get:
f''(x) = -2*x
Do a dilation of scale factor 5
f'''(x) = 5*-2*x = -10*x
Now do a vertical translation of 30 units up.
f''''(x) = -10*x + 30 = g(x).
These are two transformations that start with f(x) and end with g(x).
B) Ok, as i was writting the transformations i already solved them, so this part is already done.
C) the equation for the transformations are:
T1) g(x) = -5*(f(x) + 4)
T2) g(x) = -(f(x) + 10)*5 + 30
The length of a rectangle is one more than twice its width. If its perimeter is 20 inches, what is its length and width?
Answers
Answer:
Let length be L
Width be W
L=1+2W
Perimeter(p) of rectangle is
P=2L+2W
But L = 1+ 2W and p= 20
:. 20 =2(1+2W) +2W
20=2+4W+2W
18=6W
Divide both sides by 6
W =3
2W+1=L
6+1=L
L=7
Hence, length and width are 7in and 3in respectively
Step-by-step explanation:
