A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the nearest thousand.
Answers
Answer:
In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792
Step-by-step explanation:
Here we have that the formula for population presented as follows;
[tex]A = P(1+r)^t[/tex]
Where:
A = Population after growth
P = Original population = 3400
r = 5% = 0.05
t = Time = 17 years
Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;
[tex]A = 3400 \times (1+0.05)^{17} = 7792.86[/tex]
Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.
Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.
Answer:
Step-by-step explanation:
The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
y = b(1 + r)^ t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 3400
r = 5% = 5/100 = 0.05
t = 17 years
Therefore
y = 3400(1 + 0.05)^17
y = 3400(1.05)^17
y = 3400 × 2.2920183178
y = 7800 to the nearest thousand
Related Questions
Name the values represented by the box plot.
Lower quartile:
Upper quartile:
Median:
Answers
Answer: The lower quartile is 10, the upper quartile is 21, and the median is 17.
Step-by-step explanation:
Answer:
It sould be 5,10,26
Step-by-step explanation:
Answer CORRECTLY please !! Will mark brainliest !!!!
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Answer:
i dont know need points
Step-by-step explanation:
Using the graph, determine the equation of the axis of symmetry.
Answers
Answer:
the answer is (-1, -9)
that is the axis of symmetry
This is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.
How to find the points symmetric over axes or origin?Let the point be (x,y)
Case 1: Symmetry with respect to the x-axis
The point becomes (x, -y) as the point flips itself up or down which changes its y coordinate to the negative of whatever it was previously. And no motion is done horizontally so no change in x coordinate.
Case 2: Symmetry with respect to y-axis
The point becomes (-x, y) as the point flips itself left or right which changes its x coordinate to negative of whatever it was previously. And no motion is done vertically so no change in y coordinate.
Case 3: Symmetry with respect to origin
Origin is point at (0,0)
Symmetry with this is a bit ill defined. We use a slant line as if its a diagonal of a square.
The point is reflected to its diagonally opposite quadrant to whatever coordinate it belongs to.
Since diagonally opposite reflection causes both x and y axis to become negative of what it was before, thus,
The point becomes (-x,-y)
The axis of symmetry is where the left side is the mirror image of the right side.
Since this is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.
It will be the x coordinate of the vertex
x = 1
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Please Help!!! As quickly as possible!!!
Answers
Answer: Bristol's heart rate reaches a maximum of 120
bpm
Step-by-step explanation:
Answer:
Bristol's heart rate reaches a maximum of 120 bpm
At the end of yoga class, Bristol's heart rate returned to her resting heart rate
The graph that models Bristol's heart rate is a parabola
Step-by-step explanation:
Please write the linear equation when m=30 and b=20
Answers
Answer:
y = 30x + 20
Step-by-step explanation:
The equation of a line is
y = mx+b
where m is the slope and b is the y intercept
y = 30x + 20
math question screen shot down below
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Answer:
B. 1/2
It will always be a 50/50 probability cause there are only 2 sides
Who is the founder of [Hoonigan]?
Answers
Answer: Ken Block ??
Step-by-step explanation:
Answer:ken block
Step-by-step explanation:
What is cosA?
a. 12/13
b. 5/13
c. 5/12
Answers
The formula for cosine is adjacent/hypotenuse.
The line adjacent to angle A has the length of 5. While the hypotenuse has the length of 13.
So 5/13
Graph y=2cos(1/2x)-1
Answers
Answer:
.
Step-by-step explanation:
We can describe 3x-2 as an expression how can we describe the parts of the expression that the arrows point to?
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Answer:
If the arrow is pointing to the -2, that’s the constant.
If the arrow is pointing at x, that’s the variable.
If the arrow is pointing at 3, that’s the coefficient.
If arrow points to → 3x → it is a constant value multiplied by a variable.
If arrow points at → 2 → it is a constant number
What are expressions?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given is the following expression → 3x - 2.
Parts of the expression are called its terms. Term of a expression can be a constant number, a variable or a constant value multiplied by a variable. The expression given is → 3x - 2.
If arrow points to → 3x → it is a constant value multiplied by a variable.
If arrow points at → 2 → it is called a constant number
Therefore, we can write -
If arrow points to → 3x → it is a constant value multiplied by a variable.
If arrow points at → 2 → it is a constant number
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Rachael is placing a protective cover on a glass case. The case is a cube and the perimeter of one face of the cube is 56 inches. How many square inches of the protective covering does she need for the case?
Answers
Answer:
to cover this cube she needs at least 1,176 square inches of protective covering.
Step-by-step explanation:
The surface area of a cube is given by the following formula:
surface area cube = 6*l²
While the perimeter of each face of the cube is:
perimeter face = 4*l
Where l is the length of each side of the cube. Applying the data from the problem we have:
56 = 4*l
l = 56/4= 14 inches
surface area cube = 6*(14)²
surface area cube = 6*(196)
surface area cube = 1,176 square inches.
Therefore to cover this cube she needs at least 1,176 square inches of protective covering.
Write a four-sentence paragraph in which events are described in sequence.
Answers
Answer:
First, the girl walked to the tree. Next, she placed a towel underneath the tree. The, she sat down and took out her book. Finally, the girl took out her food and ate it while reading.
Step-by-step explanation:
It's simple, but it's in a sequence. I dont know if this was related to a passage, if so, could i see it?
Answe the photo and I’ll mark brainliest
Answers
Answer:
A ( 1.5, 6 ), B ( 15, 33 ), Slope ⇒ 2
Step-by-step explanation:
We are given the line y - 2x = 3;
For the value 6, let us substitute this value in terms of y such to compute the value of x on the line y - 2x = 3;
6 - 2 * x = 3 ⇒ Subtract 6 on either side,
-2 * x = - 3 ⇒ Divide - 2 on either side of equation
x = 1 and 1 / 2 for y = 6,
Solution; A ( 1.5, 6 )
Now for the value 15, let us substitute this value in terms of x to compute the value of y on the line y = 2x - 3;
y - 2 * ( 15 ) = 3 ⇒ Multiply 15 by 2,
y - 30 = 3 ⇒ Add remaining terms,
y = 33 for x = 15,
Solution; B ( 15, 33 )
To determine the slope of this we could take the formula ( y2 - y1 )/ ( x2 - x1 ) for the two points we have derived or, for simplicity, take a look at the format of the equation;
y - 2x = 3 ⇒ Convert to point slope form, in format y = ax + b, where a ⇒ slope, and b ⇒ y - intercept
y = 2x + 3, ⇒ Solution; Slope ⇒ 2
Please help me. Thank you. I appreciate it :)
Answers
Step-by-step explanation:
the answer should be 18
Answer:
Area = Big one - small one = 4 x (3 + 2 + 1) - 3 x 2 = 24 - 6 = 18 cm2.
=> Option B is correct.
Hope this helps!
:)
Prove two triangles congruent by a side, a median drawn to that side, and the angle formed by the side and the median.
Answers
Let's call one triangle ABC, and M the midpoint of AB.
Let's call the other triangle DEF, and midpoint N of DE.
We have a congruent side, AB=DE, congruent medians CM=FN, and congruent angles, ∠AMC=∠DNF
AB ≅ DE Given
AM ≅ BM and DN ≅ EN Def median/midpoint
AM+BM=AB and DN+EN=DE Segment addition theorem
2AM=2BM=AB and 2DN=2EN=DE Substitution (eg BM for AM)
AM ≅ BM ≅ DN ≅ EN Transitivity, algebra
CM ≅ FN Given
∠AMC ≅ ∠DNF Given
ΔAMC ≅ ΔDNF Side Angle Side
AC ≅ DF CPCTC
∠BMC ≅ ∠ENF Supplements of congruent angles are congruent
ΔBMC ≅ ΔENF Side Angle Side
BC ≅ EF CPCTC
Δ ABC ≅ Δ DEF Side Side Side
bz is tangent to circle o. ac is a diameter. mbc=90. mcd=30. mde=20.
state the theorem(s) that you used to find the measures of angles 1-10.
Answers
Answer:
1. Arc angle
2. Angle at circumference
3. Base angle of an isosceles triangle
4. Sum interior of angles in a triangle
5. Sum interior of angles in a triangle
6. The sum of angles on a straight line
7. Sum interior of angles in a triangle
8. Sum interior of angles in a triangle
9. Angle from a tangent to the radius of a circle
10. Alternate angles of line crossing two parallel lines
Step-by-step explanation:
Here, we note that, the angles where derived as follows;
1. mBC = 90°, therefore, angle subtended by the arc BC at the center of the circle = 1 = 90°
2. 90° The angle at the center which is the straight line diameter with angle 180° = 2 × angle at the circumference
∴ The angle at the circumference, angle 2 = 180°/2 = 90°
3. Angle subtended by the sum of arcs CD + DE at the center = 50°, therefore, ∡EOC = 50° and ∡EOA = 180° - 50° = 130° (the sum of angles on a straight line), since ΔAOE is an isosceles triangle, therefore, ∡OAE = ∡OEA = (180° - 130°)/2 = 25°
4. ∡A + ∡E + ∡C = 180° (Sum interior of angles in a triangle)
∴ 25° + 90° + ∡C = 180°
Hence ∡C = 180° - (90° + 25°) = 65°
5. From arc CD = 30°, ∡COD = 30°, ∴ ∡OBD = 30° = base angle of isosceles triangle with sides equal to the radius
Hence ∡8 = 30° from ∡8 + ∡1 + ∡OBD = 180° which gives
∡8 + 90° + 30° = 180°, hence;
∡8 = 180° - (90° + 30°) = 60°
∡8 = opposite ∡8 = 60°
Opposite ∡8 + ∡C + ∡5 = 180° (Sum interior of angles in a triangle)
Therefore ∡5 = 180° - (opposite ∡8 + ∡C) = 180° - (60° + 65°) = 55°
6. Angles 6 plus angle 5 = 180° (The sum of angles on a straight line)
Therefore, ∡6 = 180° - ∡5 = 180° - 55° = 125°
7. ∡7 + opposite ∡5 + ∡E = 180° (Sum interior of angles in a triangle)
∡E + ∡2 = 180° (The sum of angles on a straight line)
∴ ∡E = 180° - ∡2 = 180° - 90° = 90°
Hence, ∡7 + opposite ∡5 + ∡E = 180° = ∡7 + 55° + 90° = 180°
∴ ∡7 = 35°
8. ∡8 = 60° as found above
9. ∡9 = 90° (Angle from a tangent to the radius of a circle)
10. ∡10 = ∡8 = 60° (Alternate angles).
the cut out part on the right side is "the tree"
Answers
Answer:
C, just C
Step-by-step explanation:
Demonstrating all calculations would be too much word right now.
in general: Probability of Event A times Probability of Event B, and if there is more than one possible way, add up.
Is my answer correct?
Answers
Answer: Yes, your answer is correct.
Write the English phrase as an algebraic expression. Let x represent the number.
6 more than four times a number
Answers
Answer: 4x + 6
Step-by-step explanation:
Answer: 4x + 6
Step-by-step explanation:
After analyzing this number line, which set of numbers would all round to 0 when rounding to the nearest hundred?
A) 15, 35, 44
B) 35, 44, 50
C) 44, 50, 55
D) 55, 63, 69
HELP ASAP I WILL GIVE BRAINLIEST
Answers
Answer:
the numbers in Set A would round to 0
Step-by-step explanation:
what is the value of x and y
Answers
Answer:
x = 10.6
y = 10.6
Step-by-step explanation:
To answer this question you will need to use trigonometry. If you don't already have an understanding of trigonometry, this will be very hard to explain. please let me know in the comments if you would like me to give it a go.
I hope this was helpful :-)
Answer Choices:
y= x + 10; linear
y= x + 10; non linear
y= 10x + 1; linear
y= 10x + 1; nonlinear
Answers
C. =10x+1
y-intercept is 1 because it is the start up cost. 10 is the factor because it says "$10 a month" The variable x is the months
The major role of carbohydrates in the human diet is to
Answers
Answer: Carbohydrates have many roles, but the main one is to provide energy. But, they also build macromolecules and store energy
Hope this helps :)
Answer:
Provide the body with energy
Hope this helps!!!
Can someone please help me out
Answers
What is the area of the triangle shown below?
Answers
Answer:
65
Step-by-step explanation:
In order to find the area you have to complete a formula for triangles going Area = 1/2 bh ( bh means base time the height height is the 13 and the base is the 10 in the photo.)
Can someone help with step by step
Answers
Answer:
See explanation
Step-by-step explanation:
[tex] In\: \triangle ABC \:\&\: \triangle EDC\\
\angle ABC \cong \angle EDC... (Right \: \angle s) \\
\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]
A dice was rolled five times and the following were rolled: 1, 3, 3, 4, 4
Based on this information, find the experimental P(1).
Answers
Answer:
1/5
Step-by-step explanation:
the 5 is the total number of times he tried
the 1 is how many times he rolled a 1
Remember: Use ALL numbers below or above
the true median (which was 55)
What is the UPPER quartile?
64.5
69
73
65
Answers
Answer:
upper:65 lower:44
Step-by-step explanation:
Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the amount of a 20-year loan with an APR of 19.2%, compounded monthly, that is paid off with monthly payments of $510? site:brainly.com
Answers
Answer:
my answer was B.
Step-by-step explanation:
I chose C and i got it wrong
What is the probability of spinning a 1 and flipping heads
Answers
Answer:6/11
Step-by-step explanation:
The probability of spinning a 1 and flipping a heads is given by the equation A = 1/10
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of spinning a 1 and flipping a heads be A
Now , the equation will be
The total number of values in the spinner = { 1 , 2 , 3 , 4 , 5 }
So , the number of possible outcomes = 5
The probability of spinning a 1 = 1 / number of possible outcomes
Substituting the values in the equation , we get
The probability of spinning a 1 = 1/5
The number of outcomes for flipping a coin = { heads , tails }
Now , the probability of flipping a head = 1/2
So , the probability of spinning a 1 and flipping a heads A = probability of spinning a 1 x probability of flipping a head
Substituting the values in the equation , we get
The probability of spinning a 1 and flipping a heads A = ( 1/5 ) ( 1/2 )
On simplifying the equation , we get
The probability of spinning a 1 and flipping a heads A = 1/10
The probability of spinning a 1 and flipping a heads A = 0.1
Hence , the probability is 1/10
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