Answer:
Below
Step-by-step explanation:
Each PERIOD is 3 months there is 4 periods per year
periodic interest = .055/4
effective interest per year would then be
(1 + .055/4)^4 - 1 = .056144 = ~ 5.61%
Calculate the volume of this cylinder, giving your answer to 1 decimal place.
14 cm ( diameter )
12 cm ( height )
22/7×14×14×12
the answer is 7392
The axis of the sphere below is 12 units in length. What is the surface area of
the sphere?
A. 256 units2
B. 72 units
C. 144 units2
D. Cannot be determined
The surface area of the sphere is 144π square units.
What is a sphere?"A sphere is a three-dimensional figure (solid figure), which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere".
For the given situation,
The axis of the sphere = 12 units
The axis is the diameter of the sphere.
The radius of the sphere, r = d/2
⇒ [tex]r=\frac{12}{2}[/tex]
⇒ [tex]r=6 units[/tex]
The formula for the surface area of the sphere, A = [tex]4\pi r^{2}[/tex]
[tex]A = 4\pi( 6)^{2} \\[/tex]
⇒ [tex]A=144\pi[/tex]
Hence we can conclude that the surface area of the sphere is 144π square units.
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HELP PLEASE NEED HELP ASAP
Answer:
+6
Step-by-step explanation:
Each interval has a difference of 6
I need help, and I forgot how to do this
Answer: 5. 2x+8 6. 5(x-9) 7. -3x+-21
Step-by-step explanation: Multiply the number outside the parenthesis by everything inside it
1) What is the probability that a student prefers comedy, given that the student is in 10th grade?
2) What is the probability that a student prefers comedy, given that the student is in 12th grade?
3) What is the probability that a student does not prefer action, given that the student is in 9th grade?
Answer:
1/3
3/10
6/8 or 3/4
Step-by-step explanation:
The probabilities of the condition are 0.3333, 0.30, and 0.75.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Then the probability that a student prefers comedy, given that the student is in 10th grade, will be
Total event = 9
Favorable event = 3
Then the probability will be
P = 3 / 9
P = 0.3333
Then the probability that a student prefers comedy, given that the student is in 12th grade, will be
Total event = 10
Favorable event = 3
Then the probability will be
P = 3 / 10
P = 0.30
Then the probability that a student does not prefer action, given that the student is in 9th grade will be
Total event = 8
Favorable event = 6
Then the probability will be
P = 6 / 8
P = 0.75
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Draw the following figure in your note book and find the perimeter or circumference show your solution.
1.) Triangle : s = 6cm ; P=
2.) Square : s = 7 cm ; P =
3.) Rectangle = W = 4cm , L = 8 cm ; P =
4.) Regular Heptagon : s = 3cm ; P =
5.) Circle : r = 12cm ; C =
1)Triangle : s = 6cm ; P= 18 cm
2.) Square : s = 7 cm ; P = 28 cm
3.) Rectangle = W = 4cm , L = 8 cm ; P = 24cm
4.) Regular Heptagon : s = 3cm ; P = 21 cm
5.) Circle : r = 12cm ; C = 24∏ cm.
What is circumference?
The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.
Given that the length of each side of a triangle is 6 cm.
The perimeter of an equilateral triangle is 3a, where a is the length of the side of the equilateral triangle.
The perimeter of the triangle is 3 × 6 = 18 cm
The length of side of a square is 7 cm.
The perimeter of a square is 4a, where a is the length of the side of the square.
The perimeter of the square is 4 × 7 = 28 cm.
The length and breadth of a rectangle is W = 4 cm and L = 8 cm.
The perimeter of a rectangle is 2(L+ W)
The perimeter of the rectangle is = 2(8 + 4) = 2 × 12 =24 cm
The perimeter of Regular Heptagon is 7a, where a is the length of the side of the Regular Heptagon.
The perimeter of a Regular Heptagon is (7 × 3) = 21 cm
The perimeter of a circle with a radius r is 2∏r.
The perimeter of the circle is 2∏ × 12 = 24∏ cm.
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Find the measure of angle B.
Answer:
98
Step-by-step explanation: do not question the wise one
What does 2 1/3 + 1 1/5 + 1 1/5 =?
Answer:
[tex]6\frac{11}{15}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{3}[/tex] equals to [tex]\frac{7}{3}[/tex]
[tex]\frac{11}{5}+\frac{11}{5}=\frac{22}{5}[/tex]
but the denominator is not the same in [tex]\frac{7}{3}[/tex] and [tex]\frac{22}{5}[/tex]. So you would need to find the LCM for 3 and 5. The LCM for 3 and 5 is 15.
[tex]\frac{7}{3}*\frac{5}{5} =\frac{35}{15}[/tex]
[tex]\frac{22}{5}*\frac{3}{3} =\frac{66}{15}[/tex]
[tex]\frac{35}{15} +\frac{66}{15} =\frac{101}{15}[/tex]
[tex]\frac{101}{15} =6\frac{11}{15}[/tex]
help pleaseeeeeeeee
︎
︎
The correct answer in the number line is 2 and 0.888 .
In elementary math, what is a number line?A picture of numbers on a straight line is referred to as a number line in mathematics. Across the length of a number line, the numbers are arranged in a sequential manner at equal intervals. It is frequently seen horizontally and can extend indefinitely in any direction.
The addition, subtraction, division, and times table problems can all be illustrated with a number line. You can better comprehend the idea of negative numbers by using the number line.
The addition, subtraction, division, and times table problems can all be illustrated with a number line. You can better comprehend the idea of negative numbers by using the number line.
1. 9/2 in 2
2.4/9 by 2 is = 4/4.5 = 0.888 .
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how fast are you going if you run 12 kilometers in 2 hours
Answer:
3.73 miles per hour
Step-by-step explanation:
12 Kilometers is 7.46 miles.
7.46/2 = 3.73 Miles per hour
Someone plz help me!..
In 2014 a company had a profit of $420000. In 2019 it reported a profit of $1400000.
Find the average rate of change of its profit for that period, expressed in dollars per year.
Angle X and angle Y are complementary angles. The measure of angle Y is 6 less than twice the measure of angle X. What is the measure of each angle?
The measure of each angle X and Y are x = 32 degrees and y = 58 degrees
How to determine the measure of each angleFrom the question, we have the following parameters that can be used in our computation:
Angle X and angle Y are complementary angles. The measure of angle Y is 6 less than twice the measure of angle X.The above statements mean that
x + y = 90
y = 2x - 6
Substitute the known values in the above equation, so, we have the following representation
x + 2x - 6 = 90
Evaluate the like terms
3x = 96
Divide both sides by 3
x = 32
Substitute x = 32 in the equation y = 2x - 6
y = 2 * 32 - 6
Evaluate the equation
y = 58
Hence, the measure of the angle y is 58 degrees
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The average number of customers at the cafe fell by 10% in the month of May. If 140 fewer customers visited the cafe in May, how many customers visited in April?
Answer:
1400
Step-by-step explanation:
You want to know the number of customers in April if the number in May was 10% lower. That number was 140 fewer.
PercentThe problem statement is telling us ...
April - (10% × April) = April - 140
10% × April = 140 . . . . . . . . subtract April, multiply by -1
April = 140/10% = 1400 . . . . divide by 10%
The number of customer visits in April was 1400.
__
Additional comment
The 1400 customers in April fell by 140 to 1260 in may. That's 10% fewer than in April.
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Ashley and Saskia each think of a number.
1 less than Ashley's number is equal to 3 lots of Saskia's number.
4 lots of Ashley's number added to Saskia's number is 95.
Using the information above, write and solve two simultaneous equations to work out Ashley's and Saskia's numbers.
Based on the the information provided above, Ashley's and Saskia's numbers are equal to 22 and 7 respectively.
How to work out Ashley's and Saskia's numbers?In order to write a system of equations to describe this situation, we would assign variables to Ashley's number and Saskia's number respectively, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent Ashley's number.Let the variable y represent Saskia's number.Translating the word problem into an algebraic equation, we have the following:
x - 1 = 3y .....equation 1.
4x + y = 95 .......equation 2.
Making x the subject of formula in equation 1, we have:
x = 3y + 1 .......equation 3.
Substituting equation 3 into equation 2, we have:
4(3y + 1) + y = 95
12y + 4 + y = 95
13y = 95 - 4
13y = 91
y = 91/13
y = 7.
For the value of x, we have:
x = 3y + 1
x = 3(7) + 1
x = 21 + 1
x =22.
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Which angles are adjacent to BFD? Select all that apply.
Answer:
<AFB
Step-by-step explanation:
First you must know the two adjacent angles are placed side ways in a diagram. Most of this angles are supplementary i.e their sum is 180 degrees. From the diagram shown, you can see that the two angles that are supplementary are <BFD and <AFB. Hence we can conclude that <AFB is adjacent to <BFD
What's the result of translating the point (9, –5) using the rule (x, y) → (x + 7, y – 2)?
Question 10 options:
A)
(16, –5)
B)
(16, –7)
C)
(2, –3)
D)
(9, –7)
what fraction is equal to 1/8+1/8
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
1/8+1/8=2/8 simplified its 1/4 but if you dont want it simplified its 2/8
2. Solve for x. Show your work.
45x 4 = 642x+12
The value of x for the equation 4(5x - 4) = 64( 2x + 12) is x = -7.25
What is equation ?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.
4(5x - 4) = 64(2x + 12)
20x - 16 = 128x + 768
20x - 128x = 768 + 16
-108x = 784
x = -7.25
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Using the scale drawing shown in the image find the actual length of the truck
The actual length of the modeled truck is 20.4 feet.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
Given, A model diagram of a truck and each gridline represent 1 cm distance.
Now, To find the length of this model we'll count the number of gridlines horizontally from two endpoints of the truck which is 12 gridlines hence 12 cm.
Also given that 1 cm is equal to 1.7 feet.
Therefore, The actual length of the truck is (1.7×12) feet.
= 20.4 feet.
So, the length of the truck is 20.4 feet.
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Please Click The Screenshot.
Answer:
Step-by-step explanation:
70%=0.7
90 X 0.7 = 63
ANSWER IS 63
In a class of 55 students, 15 students liked Maths but not English and 18 students liked English but
not Maths. If 5 students did not like both, how many students liked both subjects?(WITH FULL PROCESS)
Use sin to solve for c please help
Answer:
sin 66 = C/15 or C = 15sin66 = 13.7
Michael bakes a soft pretzel and a loaf of bread. Use the system of equations to find c, the amount of flour, in cups, needed for the soft pretzel, and b, the amount of flour, in cups, needed for the loaf of bread. Show your work.
b = 24c
(1/4)b + 4c = 5/4
The amount of flour needed for soft pretzel is c = 1/8 and the amount of flour needed for the loaf of bread is b = 3.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given system of equations,
b = 24 c and
[tex]\frac{1}{4}[/tex] b + 4c = [tex]\frac{5}{4}[/tex]
Substitute b = 24 c in the second equation.
[tex]\frac{1}{4}[/tex] (24 c) + 4c = [tex]\frac{5}{4}[/tex]
6c + 4c = [tex]\frac{5}{4}[/tex]
10 c = [tex]\frac{5}{4}[/tex]
c = [tex]\frac{5}{4}[/tex] × [tex]\frac{1}{10}[/tex] = [tex]\frac{1}{8}[/tex]
b = 24c = 24 / 8 = 3
Hence c = 1/8 and b = 3 in cups.
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what is the surface area of a cube with a side length of 3/4 inch? Use the expression 6s squared, where s is the side length of the cube.
Answer:
The volume of a cube is the side length cubed.
V = s x s x s where s is the length of the side = s x s^2 = 6s^2 so s must be 6.
The side length is 6 ,
Therefore the surface area is 6 times the area of each side = 6 x 6^2 = 6 x 36
= 108 square units
simplify the radical of 200 squared
Answer:
The answer is 10√2.
Step-by-step explanation:
What is 90 divided by 1/3 as a fraction?
Answer:
270/1
Step-by-step explanation:
Here is 90 divided by 1/3 displayed mathematically in colors:
90 ÷ 1/3
The numbers in 90 divided by 1/3 are labeled below:
90 = whole number
1 = numerator
3 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
90x3/1 = 270/1
Answer: 270/1
Step-by-step explanation:
90/1*1/3 you have to do the reciprocal so it turns to 90/1*3/1= 270/1
Please screenshot and write the answer on the photo.
1] Answer: y = -[tex]\frac{1}{2}[/tex]x + 3
Step-by-step explanation:
➜ This line is going down from the top left to the bottom right, so it will have a negative slope.
➜ Using rise over run, we get a slope of -2/4. This simplifies to -1/2.
➜ The line intercepts the y-axis at 3.
2] Answer: y = 3x
Step-by-step explanation:
➜ This line is going down from the bottom left to the top right, so it will have a positive slope.
➜ Using rise over run, we get a slope of 3/1. This simplifies to 3.
➜ The line intercepts the y-axis at 0.
3] Answer: y = x - 4
Step-by-step explanation:
➜ This line is going down from the top left to the bottom right, so it will have a negative slope.
➜ Using rise over run, we get a slope of 2/2. This simplifies to 1.
➜ The line intercepts the y-axis at -4.
sean and morgan walked from the same location sean walked 5 1/2 blocks north and 3 1/4 blocks east morgan walked 3 1/4 blocks east and 4 1/2 blocks south how many blocks apart are sean and morgan
Answer:
10
Step-by-step explanation:
5 1/2 + 4 1/2 = 10
1. What is the volume of this prism?
A.36
B.63
C.16
D.54
Answer:D
Step-by-step explanation: