Answers
Question 6
End ÷ Initial = Growth + 1 (percent increase problems)
6,500/5,000 = 1.30
1.30 - 1 = 0.30
30% increase
Question 8
End ÷ Initial = 1 - Growth (percent decrease problems)
10.75/15.50 = 0.69
1 - 0.69 = 0.31
31% decrease
I hope this helps!
Related Questions
Find the sum of -50 + (-44) + (-38) + ... + 2038 + 2044.
Answers
Answer:
3950
Step-by-step explanation:
-50 + (-44) + (-38) + 2038 + 2044
-94 + (-38) + 2038 + 2044
-132 + 2038 + 2044
1906 + 2044
3950
Hope this helps :)
Solution:
348950
Explanation:
first lets confirm, which series this is from,( first term + third term )/2 = second term
(-50 + (-38) )/2 = -44-44 = -44Thus it is arithmetic series.
[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]
Solving step-wise:
a₁ = -50aₙ = 2044n = ? = 350d = + 6=================
aₙ = a₁ + d(n-1)2044 = -50 + 6(n-1)6(n) - 6 = 20946(n) = 2100n = 350Here,
[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]
[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]
[tex]\sf S_n =348950[/tex]
please help me i don't get it
Answers
Area = length x width
area of files = 30 x 20 = 600 square feet
area of unmoved field = 16 x 26 = 416 square feet
area that was mowed = 600 - 416 = 184 square feet
answer: 184 square feet
Answer:
184 ft
Step-by-step explanation:
so, for this, the key is the smaller dimentions on the inside, they are the area of the smaller inner rectangle (416 ft) and the bigger dimentions on the outside, are for the entire rectangle including the mowed area (600 ft), but you dont know the exact value of the mowed area, so you would simply subtract the areas (600-416=184) and that number, 184, is the area of the mowed area that you didnt know.
hope this helps
kleann
completing the square k^2-2k-8=0
Answers
[tex]~~~~k^2-2k-8=0\\\\\implies k^2 - 2k +1^2-1-8=0\\ \\\implies ( k-1)^2-9=0\\\\\implies (k-1)^2-3^2 =0\\\\\implies (k-1-3)(k-1+3)=0\\\\\implies (k-4)(k+2)=0\\\\\implies k=4,~~ k= -2[/tex]
What is the range of the fallowing numbers 29, 47, 32, 36, 57, 20, 39, 38, 52, 51, 28, 24, 44, 40, 45, 35, 50, 50, 32, 31
Answers
Answer: 37
Step-by-step explanation:
range = max - min
max = maximum value in a data set
min = minimum value in a data set
Maximum value: 57
Minimum value: 20
Range: 37
Answer:
37
Step-by-step explanation:
First of all, let's define what range is. The range is the highest value of a set of numbers minus the lowest value of the same set. In this case, your highest value is 57 and your lowest value is 20. The sum would be 57 - 20 which would equal 37 and that is your answer.
Hope I helped you out :)
A triangle has one side of length 5 and another of length 9. Which of the following are possible lengths of the third side?
Answers
Answer:
Anything between 4 and 14
Step-by-step explanation:
When two lengths of a triangle are added together, they must be greater than the third side. Therefore the unknown length cannot be equal to or less than 4 nor equal to or greater than 14.
I’m just trying to check my math, I got 159
Wellington city engineers are designing two parallel roads by the International Polo Club to help with traffic flow during tournaments.
Answers
Answer:
159°
Step-by-step explanation:
Angle 21° and <4 are supplementary angles!
21 + x = 180
x = 159°
Hope this helps!
The measure of angle ∠4 is 159.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
From the figure,
The angle opposite to 21° and ∠4 sum is 180.
This means,
Angles on the same side.
Now,
Opposite angles are equal.
So,
21 + ∠4 = 180
∠4 = 180 - 21
∠4 = 159
Thus,
The measure of angle ∠4 is 159.
Learn more about corresponding angles here:
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NEED ANSWER ASAP How many people drive less than 30 km to work?
Answers
Answer:
20 peopleStep-by-step explanation:
According to the graph we have
10 km = 11 people20 km = 9 peopleTheir sum is
11 + 9 = 20 people
HELP!!! On 4 6 and 7
Answers
A certain third-degree polynomial function has zeros at-5, -1, and 2. Which could NOT be a factor of the expression that defines the function?
7 - 1
Answers
Answer:
I am pretty sure it is the second option
Step-by-step explanation:
Hope this helps
What is the equation, in slope-intercept form, of the line that contains the points (4, 11) and (-4, -5)? A. y = 2x + 3 B. y = -2x - 3 C. y = 3x + 2 D. y = 3x - 2
Answers
Answer:
A. y = 2x +3
Step-by-step explanation:
Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths.
Answers
Answer:
for number 6 the width is 24 and the blank after the length of 9 is 12 and after 48 width it is 60. your welcome.
Which statement best describes the "cult of domesticity" that emerged in the late 19th century?
A. A movement to allow women into medical schools.
B. Groups of women who gathered to discuss matters of the home and family.
C A widespread set of values relating to women, their behavior, and their place in the home.
D. The movement to attain voting rights for women citizens.
Answers
Answer:
a movement one single movement cultivating one group
Answer: C
Step-by-step explanation:
a scientist plans to study exotic birds in the rain forest. the helicopter flight to and from the rain forest costs$499. supplies costs $122 for each day. how many days can the scientist spend in the rain forest on $1,283 budget ?
Answers
Answer:
The scientist would be able to go to the rain forest for only 2 days.
Step-by-step explanation:
The scientist only has 1,283. You subtract 1,283 by 122 and 499 and you are left with 662. The scientist wants to go to the rain forest again so he spends 122 and 499 with 662. All he has left now is 41. He can't afford it anymore.
Proving circles are similar: Choose any of the transformations that would be a step in proving that Circle A is similar to Circle C. Select ALL that apply.
A.
Reflect A over the line y=x
B.
Translate C (x+5,y-4)
C.
Dilate A by 3/2
D.
Dilate C by 3/2
E.
Translate A by (x-5, y+4)
Answers
The transformations that would prove that circles A and C are similar are:
A. Reflect A over the line y=xC. Dilate A by 3/2How to prove that circle A and circle C are similar?The circles are given as:
Circle A and B
Assume the following parameters:
The center of circle A is (2,3) with a radius of 2The center of circle B is (3,2) with a radius of 3To start with;
The circle A must be reflected across the line y = x with the following transformation rule:
(x,y) -> (y,x)
So, we have:
(2,3) -> (3,2)
Next, the radius of A must be dilated by 3/2 as follows:
New Radius = 3/2 * 2 = 3
After the transformations, we have the following parameters:
The center of circle A is (3,2) with a radius of 3The center of circle B is (3,2) with a radius of 3Notice that both circles now have the same center and radius.
Hence, both circles are similar
Read more about similar circles at:
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Please answer. I need it to be right.
Answers
Answer:
75
- _____________
10x^4−27
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we do all brcakets becuase we are following the law of BODMAS.
2×-5×3 = -10×3= -30
Now we do all powers and indices:
-5²= 25
10²= 100
3³ = 27
Now we do the top of the fraction:
25+100 = 125
Now we do the bottom bit of the fraction:
-30+27 = -3
Now we divide 125 by -3:
-41 2/3
-41.666.....
1. Jack pulls a sled across a frozen pond. The force he pulls with is 30 newtons and he does 4500 joules of work to get the sled across the pond. How far does he pull the sled?
Answers
Answer:
150m
Step-by-step explanation:
work = force x distance
w=fd
d=w/f
d= 4500/30 = 150
Please help me with this please and thank you please actually help me with this please
Answers
Answer:
easy ok first 0 -3 1 -4 2 -5
Step-by-step explanation:
ask me another
I need help with Function Operations please
Answers
Answer:
30
Step-by-step explanation:
The ring operator signifies a composition of functions. The composition is evaluated right-to-left. That means the composition ...
[tex](f\circ g)(x)[/tex]
should be interpreted to mean ...
[tex]f(g(x))[/tex]
___
To evaluate f(g(6)), we first evaluate g(6):
g(6) = 6² -5 = 31
Then we evaluate the function f using that as its argument:
f(31) = 31 -1 = 30
f(g(x)) = 30
Howdoyouwrite
4
5
asapercentage?
Answers
Answer:
80%
Step-by-step explanation:
4/5 as a percentage would be 8/10ths, or 80%
By multiplying the fraction to get a denominator of 10, you get 8 over 10. Therefore it would be 80 percent of 100.
The difference of two numbers is 4 and their product is 60. Find the numbers.
Answers
Answer:
x = 10; y = 6
Step-by-step explanation:
Let's list the factors of 60 because the product of those numbers is 60.
⇒ Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60The following possibilities of x and y are possible using (x × y = 60):
60 and 1 ⇒ x = 60; y = 1 ⇒ 60 × 1 = 6030 and 2 ⇒ x = 30; y = 2 ⇒ 30 × 2 = 6020 and 3 ⇒ x = 20; y = 3 ⇒ 20 × 3 = 6015 and 4 ⇒ x = 15; y = 4 ⇒ 15 × 4 = 6012 and 5 ⇒ x = 12; y = 5 ⇒ 12 × 5 = 6010 and 6 ⇒ x = 10; y = 6 ⇒ 10 × 6 = 60Let's check each possibilities using the equation (x - y = 4):
60 and 1 ⇒ 60 - 1 = 59 ≠ 430 and 2 ⇒ 30 - 2 = 28 ≠ 420 and 3 ⇒ 20 - 3 = 17 ≠ 415 and 4 ⇒ 15 - 4 = 11 ≠ 412 and 5 ⇒ 12 - 5 = 7 ≠ 410 and 6 ⇒ 10 - 6 = 4 = 4 (Correct)Thus, the values of x and y are 10 and 6 respectively.
Find the measures of all angles and sides
Answers
Answer:
See attached image. 82 and 98 degrees.
Step-by-step explanation:
On attached document.
The area of a rectangle is 5 x cubed + 19 x squared + 6 x minus 18 with length x + 3. using synthetic division, what is the width of the rectangle?
5 x squared + 4 x minus 6
5 x squared + 34 x + 108 + startfraction 306 over x + 3 endfraction
5 x cubed + 4 x squared minus 6 x
5 x squared + 34 x + 108 + startfraction 306 over x minus 3 endfraction
Answers
A rectangle is a 2-dimensional shape having 4 sides. The width of the rectangle is 5x^2 + 4x - 6
How to find the quotient of a function using synthetic division?A rectangle is a 2-dimensional shape having 4 sides
The formula for calculating the area of the rectangle is given as:
A = lw
Given the following
Area = 5x^3+19x^2+6x-18
Length = x + 3
Using the synthetic division:
5x^2 + 4x - 6
x + 3 | 5x^3+19x^2+6x-18
5x^3 + 15x^2
________________________
4x^2 + 6x
4x^2 + 12x
__________________________
-6x - 18
-6x - 18
Hence the width of the rectangle is 5x^2 + 4x - 6
Learn more on area of rectangle here: https://brainly.com/question/25292087
Answer:
A
Step-by-step explanation:
What's 19 to the power of 63? Brain fart-
Answers
Answer:
2.5782963e+29
Step-by-step explanation:
basically 19 times itself 63 times
Answer:
19^63 , 3.6431483821774E+80
Step-by-step explanation:
if the price of small box is $20 and the price of large box is $45. what is the greatest amount of money he received when he sells all the boxes he has made? For this amount of money how many boxes of each size did he make
Answers
Answer:
in order to know the money that he receive first the type and amount of box must be described unless the question may not have answer.
Please help The diagram below shows a square prism. The plane ABC is inside the
prism, and M is the midpoint of the base diagonal BC. MD. = square root 18
b Hence find, correct to the nearest degree, the angle that the plane ABC
makes with the base of the prism. Diagram is attached below.
Answers
Answer:
43°
Step-by-step explanation:
Triangle ADM is a right triangle with legs AD=4 cm and DM=√18 cm. The angle at M is the angle of interest. It can be found using the inverse tangent function.
Tan = Opposite/Adjacent
tan(∠AMD) = AD/MD = 4/√18
∠AMD = arctan(4/√18) ≈ 43.31°
The angle the plane makes is about 43°.
Answer:
the measure of the angle that the plane ABC makes with the base of the prism = 43 degree (to the nearest degree)
Step-by-step explanation:
We notice that the plane ABC and the base of the prism intersect along the line BC
And as the plane (ADM) is perpendicular to the line BC
then the angle between the plane ABC and the base of the prism is the angle AMD
Let θ be the measure of the angle AMD
[tex]\begin{aligned}\tan (\theta) &=\frac{A D}{M D} \\&=\frac{4}{\sqrt{18}}\end{aligned}[/tex]
[tex]\begin{aligned}\Rightarrow \theta &=\tan ^{-1}\left(\frac{4}{\sqrt{18}}\right) \\&=43,31385 \ldots\end{aligned}[/tex]
please help :)))))) <33
Answers
Answer:
56
Step-by-step explanation:
You need to divide 20/16 and 70*z to find the missing length.
Show that x = -5 is a solution to the inequality 18x − 42 ≠ 7x
Answers
Answer:
See Below
Step-by-step explanation:
Put -5 in place of x
18(-5)-42 does not equal 7(-5)
-90-42 does not equal -35
-90-42=-132, not -35
The value x = -5 is a solution to the inequality 18x − 42 ≠ 7x.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.
For showing x =-5 is a solution of the inequality 18x − 42 ≠ 7x put x =-5 in the solution if it satisfies the condition then it is a solution of the given inequality.
18x − 42 ≠ 7x
18 x ( -5 ) - 42 ≠ 7 x ( -5 )
-132 ≠ -35
The value x = -5 is satisfying the given inequality. Hence, x = -5 is a solution to the inequality 18x − 42 ≠ 7x.
To know more about inequality follow
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What is the answer to this?
Answers
Answer:
-8
Step-by-step explanation:
[tex]\ \ \ \ \ \ \dfrac{-9 -7}{2} \\\\\\= \ \ \ \dfrac{-16}{2} \\\\\\= \ \ \dfrac{-(2^{4} )}{2^{1} } \\\\\\= \ \ -(2^{4 - 1}) \\\\\\ = \ \ -(2^{3})\\\\\\= \ \ - (2 \times 2 \times 2) \\\\\\= \ \boxed{-8}[/tex]
Answer:
-8
Step-by-step explanation:
Need help on this. can anyone help please?
Answers
Answer:
it is B
Step-by-step explanation:
that's because line goes through (0,0)
What is the value of n when 2/3 of n equals 42?
Answers
So, 42*100/66= 63.6363…
N=64
