Answer:
8.3%
Step-by-step explanation:
The rate of return on initial investment is 8.34%.
What is the percentage?
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the investment is $6,000 and valued at $6,500. The rate of the return will be calculated as,
Rate of return = ( 6500 - 6000) / 6000
Rate of return = 800 / 6000
Rate of return = 8.34%
Therefore, the rate of return on initial investment is 8.34%.
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Katie is 2 yes older than tiffany. 3 years ago, the ratio of their ages is 5/4. How old is each one today? Please show your work
Answer:
28 and 23
Step-by-step explanation:
Three years ago Katie was 25 and Tiffany was 20
How many 3 number combinations are possible if you can't repeat the numbers? The numbers range from 0-39
Answer: 49600
Step-by-step explanation: There are 40 ways to choose the first number
and there are 40 ways to choose the second number.
Now we take some examples to determine how many choices there are for
the third number
If the second number is 23, then the 3rd number cannot be any of these
9 numbers 19,20,21,22,23,24,25,26,or 27, since they are not at least 5
numbers away from 23. Same for all other 40 second numbers.
Let's look at a second example which includes some on both sides of 0.
If second number is 2, we couldn't choose any of the 9 numbers 38,39,0,1,2,3,4,5,6.
So thats 40-9 or 31 choices for the 3rd number.
Answer 40*40*31 = 49600 ways.
There are 4 teams in a soccer tournament. Each team plays each of the other teams exactly once. In each match, the winner receives 3 points and the loser receives 0 points. In the case of a tie, both teams receive 1 point. After all the matches have been played, which of the following total number of points is it impossible for any team to have received?
Answer:
8 points
Step-by-step explanation:
Given that there are 4 teams and Each team plays each of the other teams exactly once, then each team plays 3 matches. The possible points after 3 matches are:
0: 3 lost
1: 2 lost, 1 tied
2: 2 tied, 1 lost
3: 3 tied
4: 1 won, 1 lost, 1 tied
5: 1 won, 2 tied
6: 2 won, 1 lost
7: 2 won, 1 tied
9: 3 won
The answer is 8 points.
Since there are 4 teams in a soccer tournament, and each team plays each of the other teams exactly once, and in each match, the winner receives 3 points and the loser receives 0 points, while in the case of a tie, both teams receive 1 point, to determine, after all the matches have been played, which total number of points is it impossible for any team to have received, the following mathematical logical reasoning must be performed:
0 points = 3 losses = possible 1 point = 1 draw, 2 losses = possible 2 points = 2 draws, 1 loss = possible 3 points = 1 win, 2 losses or 3 draws = possible 4 points = 1 win, 1 draw, 1 loss = possible 5 points = 1 win, 2 draws = possible 6 points = 2 wins, 1 loss = possible 7 points = 2 wins, 1 draw = possible 8 points = impossible, it takes at least 4 matches to achieve that combination 9 points = 3 wins = possible
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what is the answer to 1/2x = 6
Answer:
x = 12
Step-by-step explanation:
1/2 X = 6
X = 12 x 6
Answer:12
Step-by-step explanation:
Ryan bought 43 pounds of
apples for $0.75 per pound. How
much did he pay for the apples?
Answer:32.25$
Step-by-step explanation:
0.75x43=32.25
Answer:32.25
Step-by-step explanation:
For every pound there is $.75, so you just multiply them
kalvin's mother tells him that the chance of a coin showing heads when he tosses it is 1/2. does this mean that every time he tosses a coin twice, he will get one head and one tail.
No it is not necessary that Kelvin will get one head and one tail every time
Explanation:
Probability in math is equal to favorable outcomes/total outcomes
The coin has two sides a head and a tail. When we flip a coin we have 50-50 possibility of getting a head and a tail. It means with every toss we have 1/2 possibility of getting head as well as tail.
But this does not mean that when we toss a coin twice we will get one head at one toss and one tail at another toss.
There is a possibility of getting both heads as well as both the tails.
Harper knows he is 50 yards from his school. The map on his phone shows that the school is 3/4 inch from his current location. How far is Harper from home, if the map shows the distance as 3 inches?
Answer:200
Step-by-step explanation:
3÷3/4=4
4x50=200
34 inches represents 50 yards.
So, 1 inches could be represented by 50/34 = 25/17 yards.
Multiply 1 inches value of yards by 3 to find the length of 3 inches in yards.
25/17 = 75/17 = 4 7/17 yards.
Answer: 4.412
Find The missing valaue in each of the problems
? x 10 = 10
please someone help
Answer:
1
Step-by-step explanation:
[tex]1*10=10[/tex]
1 Multiplied by any number will equal the same. If you have 1 group of ten people, how many people do you have? 10.
Hope this helps. Have a nice day. Please mark brainliest!
The missing value is 1.
if we multiply 1 and 10 then the result will be 10.
Triangle J L K. Side L K is 4 meters and K J is 3 meters. Angle L is 48 degrees and angle K is 90 degrees. Triangle M O N. Side M O is 1.5 meters, O N is 2 meters, and N M is 2.5 meters. Angle O is 90 degrees.
Use properties of similar triangles to answer the questions.
What is the measure of angle J?
Which side of △MNO corresponds to JK?
What is the ratio of the larger triangle to the smaller triangle?
Answer:
Step-by-step explanation:
Triangles are similar if they have the same shape, but not necessarily the same size.
in this case we have
JK/MO = KL/ON = JL/MN
A) Use properties of similar triangles.
The measurement of angle J can be derived from triangle MNO.
Corresponding angle are congruent.
Angle J in triangle JKL correspond with angle M in triangle MNO.
Therefore:
Tangent M = opp/adj
tanM = 2/1.5
tanM = 1.3
M = tan-¹ 1.3
M = 52.43
J = M = 52.43°
B) MO in △MNO corresponds to JK in △JKL
C) JK/MO = KL/ON = JL/MN
find JL using Pythagoras theorem
JL² = KL² + JK²
JL² = 4²+3²
JL = √(16+8)
JL = 5
JK/MO = KL/ON = JL/MN
= 3/1.5 = 4/2 = 5/2.5 = 2/1
Therefore the ratio of larger triangle to small triangle is 2:1
Answer:
What is the measure of angle J?
42 degrees
Which side of △MNO corresponds to JK?
MO
What is the ratio of the larger triangle to the smaller triangle?
2/1
Step-by-step explanation:
got them all right <3333
The sum of a two digit number is 8. If the digits are reversed, the number is increased by 54. What is the number.
Answer:
Let t = the tens digit and u = the units digit.
t + u = 8
10u + t = 10t + u + 54
10(8 - t) + t = 10t + 8 - t + 54
80 - 10t + t = 9t + 62
80 - 9t = 9t + 62
18t = 18
t = 1, u = 7
The number is 17.
Can you solve this question plz
Answer:
2)These two triangle are congruent because they have same shape and size.
1)it is explained already.
Answer:
Triangles are congruent. It explains everything in the question.
Step-by-step explanation:
Which description best describes the solution to the following
system of equations? (1 point)
y = -2x + 3
y = -x + 1
Line y = -2x + 3 intersects the origin.
Line y = -2x + 3 intersects the line y = -x + 1.
Lines y = -2x + 3 and y = -x + 1 intersect the x-axis.
Lines y = - 2x + 3 and y = -x + 1 intersect the y-axis.
Answer:
The correct answer is d.
Step-by-step explanation:
Hope You Have A GREAT Day Love ;)
And i hope this helps you
1.
3z^2+ 8z-3
in quadratic formula
Answer:
What grade of math is this?
Step-by-step explanation:
1)
Erica brought 56 bottles of water to basketball practice. She gave an equal number of bottles to each of her 8 teammates,
How many bottles of water did each teammate receive?
A)6
B)7
C)8
D)9
Answer:
b) 7
please mark as brainliest :)
Step-by-step explanation:
Answer:
B)7
Step-by-step explanation:
When she has 56 bottles we divide that by how many teammates, so 56/8 and that gives us our answer, 7
Would you rather buy one 8-lb container of ice cream for $24.56, or two 3-lb 11-oz containers of ice cream for $23.60?
Whichever option you choose, justify your reasoning with mathematics.
Answer:3-lb 11-oz containers of ice cream for $23.60
Step-by-step explanation:
what is a/8 - 7(3) = 4a - 78(b)
solve for b pls
Answer:
31a/624 +7/26 = b
Step-by-step explanation:
a/8 - 7(3) = 4a - 78(b)
Multiply
a/8 - 21 =4a -78b
Multiply each side by 8 to get rid of the fractions
8(a/8 - 21) =8(4a -78b)
a - 168 = 32a -624b
Subtract 32a from each side
a -32a -168 = 32a -32a -624b
-31a -168 = -624b
Divide each side by -624
(-31a -168)/-624 = -624b/-624
(31a+168)/624 = b
31a/624 +7/26 = b
Answer:
b = (31a + 168)/624
Step-by-step explanation:
a/8 - 7(3) = 4a - 78(b)
78b = 4a - a/8 + 21
78b = (32-1)a/8 + 21
78b = (31a + 21(8))/8
78b = (31a + 168)/8
b = (31a + 168)/8 × 1/78
b = (31a + 168)/624
A cone with a height of 50 meters has a volume of 5400pie what is the radius of the cone
Given:
Height of a cone = 50 m
Volume of cone = 5400π
To find:
The radius of the cone
Solution:
Volume of cone:
[tex]$V=\frac{1}{3}\pi r^2h[/tex]
[tex]$\frac{1}{3}\pi r^2h=5400\pi[/tex]
Cancel common factor π on both sides.
[tex]$\frac{1}{3} r^2h=5400[/tex]
Substitute h = 50.
[tex]$\frac{1}{3}\times r^2\times 50=5400[/tex]
Multiply by 3 on both sides.
[tex]$3 \times \frac{1}{3}\times r^2\times 50=5400\times 3[/tex]
[tex]$ r^2\times 50=16200[/tex]
Divide by 50 on both sides, we get
[tex]r^2=324[/tex]
Taking square root on both sides, we get
[tex]r=18[/tex]
The radius of the cone is 18 m.
Help me pls before 4 pM
Answer:
i say 12 combos
this is the question i dont rlly get
Answer:
The answer is C.
Step-by-step explanation:
How many times larger is a 10 pound dog than a hamster weighing five eighth pounds
Answer:
about 16 times bigger
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
n= mass of dog/ mass of hamster
n= 10 lb/ 5/8 lb
help me please because I don't understand it
Answer:
scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
To determine the scale factor, calculate the ratio of corresponding sides in the 2 figures. Ratio is image to original.
Comparing the top horizontal segments in both, orange to black.
scale factor = [tex]\frac{5}{15}[/tex] = [tex]\frac{1}{3}[/tex]
Complete the sentences. The area of the pyramid’s base is in.2. The pyramid has lateral faces. The surface area of each lateral face is in.2. The total surface area is 144 in.2. WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
The area of the pyramid's base is 36 square inches.
Area of base = s*s = 6*6 = 36The pyramid has 4 lateral faces.
Count how many non-bases there are.The surface area of each lateral face is 18 square inches.
Area of lateral face = 1/2 b*h = 1/2 9*6 = 18The area of the pyramid’s base is 36 in² and the surface area of each lateral face is 108 in². Then the total surface area is 144 in².
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The area of the pyramid’s base will be
Base area = 6 × 6
Base area = 36 in²
The area of the pyramid’s base is 36 in².
The pyramid has lateral faces that will be
Lateral face = 0.5 × 6 × 9
Lateral face = 27 in²
Then the surface area of each lateral face will be
Surface area = 4 × 27
Surface area = 108 in²
The surface area of each lateral face is 108 in²
Then the total surface area is 144 in².
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What is the sum
8+{-12}
Answer: -4
Add -12+8 or 8+(-12) and get -4
Answer:
-4
Step-by-step explanation:
NOte that - × - =+
+ × +=+
- × + =-
+ × -= +
So according to the question
8+(-2)
Which means that
8((+)×(-12))
8-12
-4
Therefore the final answer is-4
Which strategy would you choose to expand (x+11)(2x+3) and write an equivalent expression
Answer:
Step-by-step explanation:
Given the expression (x+11)(2x+3)
We want to expand it and write equivalent expression
Generally if we want to expand an expression we will take one of the expression in one bracket and multiply with the other bracket and then take the other expression and multiply it with the other
E.g, (a+b) × (c + d)
Then, we take a × (c+d) and also b × (c+d)
We can do it the other way round too and it will give the same results.
So, applying this to the given expression
(x+11)(2x+3)
x(2x+3) + 11(2x+3)
2x² + 3x + 22x + 33
2x² + 25x + 33
Then, the equivalent expression is 2x² + 25x + 33
(x + 11)(2x + 3) = 2x² + 25x + 33
Which order pair is a solution of this equation. 5x+y=-25
Answer:
(-5,0) or (0,-25) is another solution
Step-by-step explanation:
Do you have a list of choices? If not, you could choose random choices for x and y to determine if they are solutions. Start by letting y = 0. We see that x = -5, so (-5, 0) is a solution to this equation. In fact, it represents the x-intercept of this line. Now, let x = 0. We now see that y = -25, so (0, -25) is another solution to the equation of this line. This coordinate pair is the y-intercept of the line. Try using other values of x and y to see if you can come up with other solutions to this equation.
Answer:
(-5,0)
Step-by-step explanation:
help please i’ll give brainliest
Answer:
(x² + x)/2 = 10
x² + x = 20
x² + x - 20 = 0
(x + 5)(x - 4) = 0
x = -5, 4
... The area between the x-axis & y=x² – 3x² + 2x 0
[tex]0 \leqslant x \leqslant 2[/tex]
Answer:
Step-by-step explanation:
hello :
calculate :F(x) = ∫(x²-3x+2)dx
F(x) = (1/3)x^3 -(3/2)x² +2x
the area is :A = F(1)-F(0)
F(1) = (1/3)1^3 -(3/2)1² +2(1) =5/6
F(0) =0
so A= 5/6 Uof area
The mean of the data set shown in the table is 57 what is the mean absolute deviation
Answer:
ITS 9!!!
Step-by-step explanation:
Answer:
The answer is 9
Step-by-step explanation:
Here is a reference
zack is standing at the top of a lookout tower and spotsa a water fountain below. if the lookout tower is 75 feet tall and the angle of depression is 28 what is the horizontal distance between zack and the water fountain
The horizontal distance between Zack and the water fountain is approximately 141.1 feet.
To find the horizontal distance between Zack and the water fountain, we can use trigonometry.
The tangent function relates the angle of depression (\(\theta\)) to the opposite side (height of the tower, \(h\)), and the adjacent side (horizontal distance, \(d\)):
[tex]\[ \tan(\theta) = \frac{h}{d} \][/tex]
Given:
Height of the tower = 75 feet
Angle of depression = 28°
We rearrange the formula to solve for \(d\):
[tex]\[ d = \frac{h}{\tan(\theta)} \]\[ d = \frac{75}{\tan(28°)} \]Calculating \(\tan(28°)\), and then the distance \(d\):\[ \tan(28°) = 0.531 \]\[ d = \frac{75}{0.531} \]\[ d = 141.1 \][/tex]
So, the horizontal distance between Zack and the water fountain is approximately 141.1 feet.
It took Skylar a full minute to recall the chain of events that had brought her here,
deep into outer space. She had awoken from her deep, dreamless sleep only a few
moments before. After stretching her unused muscles, she surveyed her
surroundings, recognizing the instruments and equipment around her. Everything
had gone according to plan, and she had been asleep throughout the entire three-
year journey. Now, she had a crucial mission to carry out, one that would influence
the very course of life back on Earth.
This excerpt is the beginning of a longer work. Which describes how the plot will
most likely unfold?
1The main character will take command of the ship and return home.
2
The narrative will explain all the events in Skylar's life up to this point.
3Skylar will serve as an archetypal heroine who acts to save the world.
Answer:
3
Step-by-step explanation:
i think the answer is 3 because of the quote "now, she had a crucial mission to carry out, one that would influence the very course of life back on Earth."
hope this helps!
Final answer:
The plot will likely focus on Skylar's crucial mission in outer space, portraying her as an archetypal heroine, with the story revealing the destabilizing condition that led her to this moment.
Explanation:
Based on the excerpt, it's most likely that the plot will involve Skylar embarking on a crucial mission that affects life on Earth, suggesting that the narrative will focus on her as an archetypal heroine. Given that she's just awakened from a three-year journey in deep space, we can infer a narrative structure that will emphasize her actions and decisions in outer space rather than detailing her entire life history or returning home immediately. The story seems poised to dive into the destabilizing condition that brought Skylar into space, likely escalating towards a central conflict related to her mission, while building empathy for her character as she navigates challenges in a foreign environment.