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
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Answer CORRECTLY please !! Will mark brainliest !!!!
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Answer:
i dont know need points
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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
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Answer:
my answer was B.
Step-by-step explanation:
I chose C and i got it wrong
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the true median (which was 55)
What is the UPPER quartile?
64.5
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73
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Answer:
upper:65 lower:44
Step-by-step explanation:
Who is the founder of [Hoonigan]?
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Answer: Ken Block ??
Step-by-step explanation:
Answer:ken block
Step-by-step explanation:
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).
Answer Choices:
y= x + 10; linear
y= x + 10; non linear
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y= 10x + 1; nonlinear
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C. =10x+1
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Answer:
C, just C
Step-by-step explanation:
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in general: Probability of Event A times Probability of Event B, and if there is more than one possible way, add up.
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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.
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Upper quartile:
Median:
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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:
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
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The point becomes (-x,-y)
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Since this is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.
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Answers
Answer:
y = 30x + 20
Step-by-step explanation:
The equation of a line is
y = mx+b
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We can describe 3x-2 as an expression how can we describe the parts of the expression that the arrows point to?
Answers
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
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If arrow points at → 2 → it is a constant number
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Answers
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∠AMC ≅ ∠DNF Given
ΔAMC ≅ ΔDNF Side Angle Side
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Hope this helps :)
Answer:
Provide the body with energy
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Answer:
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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
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surface area cube = 6*(196)
surface area cube = 1,176 square inches.
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
Bristol's heart rate reaches a maximum of 120 bpm
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Step-by-step explanation:
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Answers
Answer: Yes, your answer is correct.
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a. 12/13
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Answers
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Answers
Answer:
65
Step-by-step explanation:
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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]
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
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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
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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
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Hence , the probability is 1/10
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Answers
Answer:
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Step-by-step explanation:
Write a four-sentence paragraph in which events are described in sequence.
Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
x = 10.6
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Step-by-step explanation:
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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
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Answers
Answer:
the numbers in Set A would round to 0
Step-by-step explanation:
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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:
