Answers
Answer:
[tex]y = 40000(1.02)^8[/tex]
Step-by-step explanation:
Given
[tex]a = 40000[/tex] -- Initial population
[tex]r = 2\%[/tex] --- Rate
Required
Determine the population in 8 years
The question shows an exponential distribution and the final population will be calculated using:
[tex]y = a(1 + r)^x[/tex]
Where x is the number of years.
So, we have:
[tex]y = 40000(1 + 2\%)^8[/tex]
Convert % to decimal
[tex]y = 40000(1 + 0.02)^8[/tex]
[tex]y = 40000(1.02)^8[/tex]
(b) is correct
Related Questions
A circle has a radius of 15 inches. What is the
circumference of the circle?
Answers
Answer:
The circumference of the circle is approximately 94 inches.
Step-by-step explanation:
C=2(pi)r
C=2(pi)15
C=30(pi)
C=94.24
Rounded Answer: 94 inches
The function g(t) = - 16t2 + vt + h represents the height of an object, g, in feet, above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Part A: Write a function that can be used to describe the flight of the model rocket.
Answers
Answer:
g(t)= -16t^2 +80t
Step-by-step explanation:Should be
A function is a relationship between inputs where each input is related to exactly one output.
The function that can be used to describe the flight of the model rocket is
g(t) = -16t² + 80t.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example: f(x) = 3x + 1 is a function
x = 1, f(1) = 3 + 1 = 4
We have,
A function that represents the height of an object.
g(t) = -16t² + vt + h
t = time in second
v = Initial velocity per second
h = Initial height
Initial velocity:
v = 80 feet per second
A model rocket is launched off the ground.
This means,
h = 0
Now,
Putting v = 80 and h = 0
g(t) = -16t² + vt + h
g(t) = -16t² + 80t + 0
g(t) = -16t² + 80t
Thus,
The function that can be used to describe the flight of the model rocket is
g(t) = -16t² + 80t.
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What is 10/3 divided by 2/6
Answers
Answer:
its 10
Step-by-step explanation:
10/3 divided by 2/6 is 10 because you would reciprical the 2/6
then it would be 10/3 times 6/2
10 times 6 is 60
3 times 2 is 6
60/6 is 10
BOOM MATH
Explain Jasmine’s mistake.
3x + 2
35 + 2 =
37
Answers
Answer:
nothing times 3 is 35 so your sum cant equal 37
Step-by-step explanation:
hope this helps in some way
PLEASE HELP ASAP I’LL GIVE BRAINLEST ITS ALEKS ALGEBRA 2 MATH
Answers
145 - 5d
5d = 145, set equal
29 days to lay all the track
b)
5*19 = 95
145-95 = 50
After 19 days, they have 50 miles to go.
Answer:
Step-by-step explanation:
(a)
well since they can lay 7 miles of track every day, the formula i make for the amount of track there is left to lay is:
L=196-Ld
where l is the length of track remaining, L is the length of track they can lay in one day and d is the number of days.
so we replace L for 7 and d for 17 and we get:
L=196-7x17
which works out to be 77 miles of track remaining to lay.
(b)
well since we want them to have 0 length of track remaining, and they can lay 7 miles of track a day, we can work out d. let's give the formula a bash to get:
d=196-l/L
we then replace l with 0 and L with 7 and get:
d=196/7
which works out to be 28. so it will take 28 days or 4 weeks for the railroad crew to lay 196 miles of track.
x - 4y = 1 and 3x + 2y = -11. What is the solution to the system of equations?
Answers
Answer:
x=-3 y=-1
Step-by-step explanation:
The solution is
The value of x = -3
The value of y = -1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be = A
Now , the value of A is
x - 4y = 1 be equation (1)
Let the first equation be = B
Now , the value of B is
3x + 2y = -11 be equation (2)
Now , on simplifying both equations , we get
Multiply equation (1) by 3 , we get
3x - 12y = 3 be equation (3)
Subtracting equation (2) from equation (3) , we get
-12y - 2y = 3 - ( -11 )
-14y = 14
Divide by -14 on both sides of the equation , we get
y = -1
So , the value of y = -1
Substitute the value of y in equation (1) , we get
x - 4y = 1
x - 4 ( -1 ) = 1
x + 4 = 1
Subtracting 4 on both sides of the equation , we get
x = -3
So , the value of x = -3
Hence , the value of x is -3 and value of y is -1
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if x^2/3=2 what is x^2
Answers
Helpppp need it fast plz
Answers
Answer:
B
Step-by-step explanation:
4 is a lot less than the others
yez
Find the lateral surface area of the triangular prism.
A)
420 cm?
B)
480 cm?
c)
540 cm
D)
620 cm
Answers
Answer:
the correct answer is C. 540cm
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
lateral area =Pb*h
= 48(10)
= 480
which is B
if my answer helps please mark as brainliest.
7 Evaluate the expression xy - 3x when x = 4 and
y=5.
A. 2
B. 5
C. 8
D. 11
Answers
Answer:
Xy-3x
Putting the values of x and y into the expression,
We have 4(5)-3(4)
20-12
8
Which is a unit rate?
•68 students to 2 teachers
•80 feet in 20 seconds
•16 people 5 cars
•2 pounds per 1 month.
Answers
Answer:
Remember a unit rate is a rate where the the value in the denominator (or second value in a x to y rate) is 1.
Step-by-step explanation:
Natalie wants to know how much money her computer costs each day if she never turns it off. She uses a meter to record the amount of energy her computer uses each day for 30 days. After recording the cost for 30 days, she determined the cost to run her computer is equal to the function /(d), where f(d) = 0.40d, where d is the number of days What is the value of '(d) at f(30)? dollars 4. What is the value of f(30) in context? I Running a computer for 30 days will cost her $ in electricity.
Answers
Answer:
Step-by-step explanation:
f(30) = 0.40×30 = $12
Running the computer for 30 days will cost $12 in electricity.
Cuáles son los divisores de 7 y 2 a la vez
Answers
Answer:
72 o de 7 y 2
Step-by-step explanation:
7: 7 y 1
2:2y1
72:1 2 3 4 5 6 8 9 12 24 36 y 72
A circle has a radius of 3.6 calculate the area of circle use 3.14 round your answer th the nearest hundredth of a square meter
Answers
Answer:
40.72units^2
Step-by-step explanation:
Given data
Radius= 3.6 units
The area is given as
A=πr^2
substitute
A=3.142*3.6^2
A=3.142*12.96
A=40.72units^2
Hence the area is 40.72units^2
a elevator is on the 10 floor it goes down 6 floors and then up 4 floors what floor is the elevator on now
Answers
Answer:
8th floor
Step-by-step explanation:
10 - 6 = 4
4 + 4 = 8
Answer:
8 floor
Step-by-step explanation:
gfhshddhdhfhdhrbyuygtv
F(x)= square root 2x g(x)= square root 18x find (f * g) (x). Assume x>0
Answers
Answer:
answer is A. (f.g) (x) = 6x
please answer my question because it is worth a lot of points
Answers
Answer:
Triangular prism
Step-by-step explanation:
Search it up it is right
help its pre algebra
Answers
Answer:
Burger = $15
Hot Dog = $10
Step-by-step explanation:
b=35-2h
4(b-2h)+6h=120
4(35-2h)+6h=120
140-8h+6h=120
140-2h=120
-2h=120-140
-2h=-20
h=10
b=35-2h = 35-20 = 15
How many molecules are in 35 gram sample of H2O
Answers
Answer:
The answer is 12.044*10^23 molecules of H2O
Simplify the expression:
(8 - 3)(-7) =
I
Submit
Answers
Answer:
(8-3)(-7) =8×-7=-56 (-3)×(-7)=+21
Step-by-step explanation:
then -56+21= 77
A rectangular has an area of 12 ft.² and a length of 5 feet what is the width
Answers
Answer:
12/5
Step-by-step explanation:
Width times Length = the area
w*5 = 12
w = 12/5
Answer:
w=2.4ft
Step-by-step explanation:
A line passes through the point (-8, 6) and has a slope of
5
Write an equation in slope-intercept form for this line.
Answers
Answer:
Step-by-step explanation:
y - 6 = 5(x + 8)
y - 6 = 5x + 40
y = 5x + 46
Troy went on a bike ride. Troy was about to ride 9/10 mile before resting. which is closet to the fraction of the distance troy rode before resting.
A. less than 1/4 mile
B. About 1/2 mile
C. About one mile
D. More than 1 mile
Answers
Answer:
C.) One mile
Step-by-step explanation:
9/10 ain less than 1/4
9/10 is wayyy more than 1/2
9/10 ain even one mile so how could it be more than a mile?
a bag contains 3 red balls 3 green ball and 1 blue ball.a ball is chosen at random and then placed back in the bag. a second ball is chosen at random. Find the probability that :a) the first ball is red?
Answers
Answer:
its a three out of seven then it stays the same
Step-by-step explanation:
Help me find the surface area of this shape
Answers
Answer:
216
Step-by-step explanation:
5 is 10% of what number
Answers
Answer:
50
Step-by-step explanation:
Answer:
hello! :) have a good day!
5 is 10% of 50
If you are using a calculator, simply enter 5×100÷10, which will give you the answer.
HELP FAST FAST FAST FASTT PLS<3
A model of the ocean floor takes up 2/5 of the space in an aquarium. If 3/8 of the model is coral, what fraction of the space in an aquarium is taken up by coral?
Answers
Answer:
Fraction = [tex]\dfrac{3}{20}[/tex]
Step-by-step explanation:
Given that,
A model of the ocean floor takes up 2/5 of the space in an aquarium.
3/8 of the model is coral.
We need to find the fraction of the space in an aquarium is taken up by coral. So, it can be done as follows :
[tex]x=\dfrac{3}{8}\times \dfrac{2}{5}\\\\x=\dfrac{3}{20}[/tex]
So, the fraction of space taken by coral is [tex]\dfrac{3}{20}[/tex] in an aquarium.
5 x 5/10 as a fraction
Answers
the sum of a number x and 8, all divided by 3
Answers
Answer
x/3 and 2 1/3
Step-by-step explanation:
Which value or values for the variable c from the set below will make 2 + 0.5c < 2c true
{0.2, 0.7, 1, 3}
A) Only 3
B) 1 and 3
C) 0.7, 1, and 3
D) All the values in the set
