Answer:
Convert 15% to a regular number by moving the decimal 2 times to the left so 15.0 becomes 0.15 then do 0.15 × the original price, then take the original price and subtract the amount you got from doing 0.15 × the original price
Use the example above and determine the fraction of total interest owed. After the fourth month of a 12 month loan, the numerator is: {(n + ) + (nt ) + (n + ) + (n + and the denominator is: {(n) + (n + 1) + ... + (n + )} Therefore, the fraction is numerator/denominator (to the nearest tenth) = %.
Answer:
Step-by-step explanation:
The picture does not show the example which will help in determining whether it is simple or compound interest calculation.
Based on what is shown, the answer is:
the numerator is: {(n + 11) + (n + 10) + (n + 9 ) + (n + 8) = 4n + 38;
and the denominator is: {(n) + (n + 1) + ... + (n + 11) = 12n + 66.
Therefore, the fraction is numerator/denominator:
= (4n + 38) / (12n + 66)
In this case n=1, the fraction = 42/78 = 0.53846
= 53.85%
solve for Surface Area
Answer:
325.76
Step-by-step explanation:
72+104+149.76
: the mass of an average classroom meter stick is roughly 0. 2 kg.
the mass of the moon is approximately 7*1022 kg.
question 1: how many meter sticks does it take to equal the mass of the moon? explain or show your reasoning
Using proportions, it is found that it takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, one meter stick has a mass of 0.2 kg. How many meter sticks are needed for a mass of [tex]7 \times 10^{22} \text{kg}[/tex]? The rule of three is given by:
One meter stick - 0.2 kg
x meter sticks - [tex]7 \times 10^{22} \text{kg}[/tex]
Applying cross multiplication:
[tex]0.2x = 7 \times 10^{22}[/tex]
[tex]x = \frac{7 \times 10^{22}}{0.2}[/tex]
[tex]x = 35 \times 10^{22}[/tex]
[tex]x = 3.5 \times 10^{23}[/tex]
It takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.
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a
The diameter of a semicircle is 6 yards. What
is the semicircle's perimeter?
d=6 yd
Use 3.14 for a.
Given -
the diameter of a semicircle is 6 yards.ie. d = 6yd
ps - use 3.14 for a
To find -
the semicircle's perimeterSolution -
As we know the formula to find the perimeter of the semicircle is 2r + πr.
But A.T.Q we are only provided with the diameter. As we know that the radius is half of the diameter. ie, r = d/2.
Hence, d = 6
r = 6/2
r = 3 yd
Perimeter of semicircle = 2r + πr
Perimeter of semicircle = 2(3) + 3.14(3)
Perimeter of semicircle = 15.42 yd
Hence forth the semicircle's perimeter is 15.42 yd
The diameter of a semicircle is 6 yards. Find the perimeter of the semicircle?
❦ Explanation -:Given :
Diameter of the semicircleNeed to find :
PerimeterSolution :
[tex] \small \blue {\underline {\underline{{ \orange{\rm{ First \: we \: need \: to \: calculate \: the \: radius \: of \: the \: semicircle }}}}}}[/tex]
We know,
[tex] \large \star \: \: \large \underline{\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}}[/tex]
[tex] \small\rm{ Radius = \dfrac{6}{2} = 3 \: yards}[/tex]
[tex] \small{ \underline{ \underline{\rm \red{ Now \: we \: will \: calculate \: the \: perimeter \: of \: the \: semicircle }}}}[/tex]
We know,
[tex] \large\star \: \: \large \underline{\boxed{ \rm{ Perimeter_{(semicircle)} = πr + 2r}}}[/tex]
Where,
r stand for radiusAssuming π as 3.14Substituting the values we get
[tex] \small\bf{ Perimeter_{(semicircle)} = 3.14 × 3 + (2 × 3)}[/tex]
[tex] \small\rm{ Perimeter_{(semicircle)} = 9.42 \: + 6}[/tex]
[tex] \small\boxed{ \rm{ Perimeter_{(semicircle)} = 15.42 \: yards}}[/tex]
[tex] \rule{92mm}{3pt}[/tex]
Write the following expression using an exponent.
1x7x7x7x7x7
Answer:
7^5
Step-by-step explanation:
Hopefully this helps :)
find the volume of a cylinder with base diameter 140cm and height 10cm. (22/7)
Step-by-step explanation:
could not find the formula ?
the volume of a cylinder is ground area × height.
and the ground area is a circle.
so, all in all we get
pi×r²×h
with r being the radius (half of the diameter), and h being the height.
in our case we get
pi×(140/2)²×10 = pi×70²×10 = 49000×pi =
= 153,938.04... cm³
Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of equations has infinitely many solutions? (4 points) Group of answer choices x − y = 1 2x + 2y = 4 2x + 2y = −2 2x + 2y = 2
The most likely equation for line P so the set of equations has infinitely many solutions is 2x + 2y = -2.
How to know an equation with infinitely many solutions?If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions.
Therefore, let's check for the equation with the same terms and constant with the equation :
x + y = -1
Hence, the most likely equation of line p is as follows:
2x + 2y = -2
divide both sides by 2
2x/ 2 + 2y / 2 = -2 / 2
x + y = - 1
The equation of the line will be 2x + 2y = -2
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y = 7x + 20
4x - y = -11
solve by substitution
Answer:
x = - 3, y = - 1
Step-by-step explanation:
y = 7x + 20 -----> equation 1
4x - y = - 11
4x - ( 7x + 20 ) = - 11
4x - 7x - 20 = - 11
- 3x = - 11 + 20
- 3x = 9
x = 9 / - 3
x = - 3
Substitute x = - 3 in equation 1,
y = 7 ( - 3 ) + 20
= - 21 + 20
y = - 1
Hence,
x = - 3
y = - 1
Answer:
x = -3y = -1Explanation:
y = 7x + 20 __ equation 1
4x - y = -11
y = 11 + 4x __ equation 2
using substitution method,
11 + 4x = 7x + 20
4x - 7x = 20 - 11
-3x = 9
x = -3
Find y,
y = 7x + 20
y = 7(-3) + 20
y = -1
How to create a quadrilateral with vertices at the following points PLEASE ASAP
Answer:
The points are in the form (x,y) this means you count x (right) if positive and left if negitive, for y up is positive and down negitive. for example the point (3,-2) would be three to the right two down
Step-by-step explanation:
The points are in the form (x,y) this means you count x (right) if positive and left if negitive, for y up is positive and down negitive. for example the point (3,-2) would be three to the right two down
Ram is 3 years younger than Shyam and Krishna is 5 years older than Shyam . If the product of percentages of Ram and Krishna is 48, How old is Shyam?
Answer:
Shyam would be 43 years old
Step-by-step explanation:
Ram is 49 years old, since she is 3 years younger than Shyam and Krishna is 48 years old than Shyam
You have $1000 invested for 3 years and get 10% interest.
Answer:
$1331 compounded annually after three years
Step-by-step explanation:
Given the following question:
1000 dollars invested (princpal)....
You invest that 1000 dollars for three years (time)....
Assuming it's compounded annually we need to substitute the values into the formula to calculate compound interest.
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
[tex]P=1000[/tex]
[tex]\frac{r}{n} =\frac{10}{100} =10\div100=0.1[/tex]
[tex]nt=(1)(3)[/tex]
[tex]A=1000(1+0.1)^{(1)(3)}[/tex]
[tex]1\times3=3[/tex]
[tex]A=1000(1+0.1)^{3}[/tex]
[tex]1+0.1=1.1[/tex]
[tex]1.1^3=1.1\times1.1\times1.1=1.331[/tex]
[tex]A=1000\times1.331[/tex]
[tex]1000\times1.331=1331[/tex]
[tex]=1331[/tex]
Which means after a intital investment of 1000 dollars you will have "1331 dollars" after three years compounded annually.
Hope this helps.
I need this asap give me the right answer
Answer:
Its 320 i think its so many numbers my eyes cant keep up
Step-by-step explanation:
just add em all up
The graph below represents the result of a survey in which a number of students
reported how many letters were in their last names.
How many students have a name that's longer than 8
letters?
Answer:
2
Step-by-step explanation:
One we student has 9 letters and another has 10 letters
A prism is created using 2 regular pentagons as bases. the apothem of each pentagon is 2.8 centimeters. a regular pentagonal prism is shown. the apothem of each pentagon is 2.8 centimeters. the height of the prism is (2 x 1). all sides of the pentagon are congruent. which expression represents the volume of the prism, in cubic centimeters? 9x2 7x 14x2 7x 16x2 14x 28x2 14x
The expression that represents the volume of the prism, in cubic centimetres is [tex]28.476(2x+1) \: \rm cm^3[/tex] approx
How to find the volume of a prism?If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross section is same as its base, then its volume is:
[tex]V = B \times h[/tex]
where h is the height of that prism and B is the area of the base of that prism.
For this case, we are provided a prism which has pentagon as its cross sections, and its height is [tex]2x + 1[/tex] units.
Let B be the area of those pentagons, then:
Volume of the prism = [tex]B(2x + 1) \: \rm cm^3[/tex]
It is provided that the apothem of the pentagon is 2.8 cm.
An n sided regular polygon has internal angles' sum as 180(n-2)°
Thus, each internal angle would be of 180(n-2)/n°
For n = 5, this comes as 108°
Since the line AO is bisecting the internal angle, the angle OAB is o of 108/2 = 54°
Using the tangent ratio, we get:
[tex]\tan(54^\circ) = \dfrac{|OD|}{|AD|}\\\\|AD| = \dfrac{2.8}{\tan(54^\circ)} \approx 2.034 \: \rm cm[/tex]
Thus, area of the triangle AOD = [tex]\dfrac{1}{2} \times |AD| \times |OD| \approx \dfrac{1}{2} \times 2.034\times 2.8 = 2.8476 \: \rm cm^2[/tex]
There are 10 such triangles, all congruent, thus:
Area of pentagon = [tex]B \approx 10 \times 2.8476= 28.476 \: \rm cm^2[/tex]
Thus, volume of the pentagonal prism is:
[tex]V = B \times h \approx 28.476(2x+1) cm^3[/tex]
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Answer:
14x^2+7x
B
Step-by-step explanation:
I did the test.
in right triangle ABC, line CD is perpendicular to line AB, AD=9 cm DB=16 cm. Find CD and the area of triangle ABC
Answer:
8+8
Step-by-step explanation:
the answer to the whats C and D well c=8 and D=8
Use the following information to answer the next five exercises. a hospital is trying to cut down on emergency room wait times. it is interested in the amount of time patients must wait before being called back to be examined. an investigation committee randomly surveyed 70 patients. the sample mean was 1.5 hours with a sample standard deviation of 0.5 hours
Considering that we have the standard deviation for the sample, the t-distribution should be used to solve this question.
When should the z-distribution and the t-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.In this problem, there is a sample standard deviation of 0.5 hours, hence the t-distribution should be used.
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the chef mixed a seasoning that costs $3 per ounce with a seasoning that costs $1.75 per ounce to create a 24-ounce mixture that costs $2 per ounce. how many ounces of the $3 per ounce seasoning did he use?
Answer:
4.8 ounces
Step-by-step explanation:
X= number of ounces for the $3.00 mixture of seasoning
$3.00/OZ + $1.75/ OZ = $2.00/ OZ We are adding the seasonings together to produce the 24 OZ mixture
X + 24-X = 24OZ To get the missing term we will subtract what we have from X
100 [(3.00)(X) + (1.75)(24-X)] = [(2.00)(24)] 100 to get rid of the decimals multiply both sides by 100
(300)(X) + (175)(24-X) = (200)(24) Multiply on each side, removing the parenthesis
300X + 4,200 - 175x = 4,800 Get all of the X's on one side of the equation remember to change the sign of 4,200
300X - 175X = 4,800 - 4,200 Combine Like Terms
125X = 600 Get X alone
125 125 To get X, we will divide both sides by 125
X = 4.8 OZ
The chef used 4.8 ounces of the $3.00 seasoning
What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. A normal curve with a peak at 0 is shown. The area under the curve shaded is 1 to 2. Z Probability 0. 00 0. 5000 1. 00 0. 8413 2. 00 0. 9772 3. 00 0. 9987 0. 14 0. 16 0. 86 0. 98.
The approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
It is given that the standard normal curve shows the shaded area in the curve.
It is required to find the approximate area of the unshaded region under the standard normal curve.
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
In the curve showing the shaded region area between:
[tex]\rm P(1 < Z < 2)[/tex]
First, we calculate the shaded region area:
From the data given the value of Ф(1) = 0.8413.
P(Z<1) = 0.8413 and
P(Z<2) = 0.9772
The area of the shaded region:
= P(Z<2) - P(Z<1)
= 0.9772 - 0.8413
= 0.1359
The area of the unshaded region:
= 1 - The area of the shaded region ( because the curve is symmetric)
= 1 - 0.1359
= 0.8641 ≈ 0.86
Thus, the approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
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A company is designing a new cylindrical water bottle. The volume of the bottle will be 176 cm ^3. The height of the water bottle is 7.8 cm. What is the radius of the water bottle? Use 3.14 for pi
Step-by-step explanation:
volume = 176 cm³
height = 7.8
radius = ?
pi = 3.14
volume of cylinder = πr²h
176 = 3.14 × r² × 7.8
176 = 24.492 × r²
176/24.4 = r²
7.21 = r²
√7.21 = r². ( Using long division )
r = 2.69 ( approx. )
Which graph represents the solution to the compound inequality?
4x + 8<-16 or 4x + 824
O4+
=>
-7 -6 -5 4 -3 -2 -1 0 1
O4
-7 6 5 4 3 2 1 0
1
O
+ +
-7 -6 -5 4 -3 -2 -1 0 1
O
-7 -6 -5 4 -3 -2 -1 0 1
Answer:
We know that the slope or rate of change of the function can be:
positive
negative
zero, or
undefined
Function 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
8 - 0 = 8
Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.
We know that the slope or rate of change of the function can be:
positive
negative
zero, or undefined
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Function 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is y = mx+b
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
8 - 0 = 8
Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.
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How many times greater is the value of 4 in 547 than the value of the 4 and 84
Answer:
10
Step-by-step explanation:
How many times greater is the value of 4 in 547 than the value of the 4 and 84?
547: 500 + 40 + 7
5 is in the hundreds place
4 is in the tens place
7 is in the ones place
84: 80 + 4
8 is in the tens place
4 is in the ones place
The value of 4 in 547 is 10 times greater than the value of 4 in 84.
Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.
Also, 4 * 10 = 40
Hope this helps!
Help what do I do do i just write y-3x+5 or solve it
Answer:
y=-3x+5
Step-by-step explanation: Yes you have it correct. The question is asking for you to put it into an equation that fits the slope and y-intercept which is slope-intercept form. Additional note, when you have a problem like this and it doesn't say what type of equation form to put it in, put it in slope-intercept form for simplicity's sake.
Answer:
y = -3x +5
Step-by-step explanation:
In general, do what the question asks you to do: write the equation of the line.
__
The slope and y-intercept of the line are given, so the easiest, most direct way to write the equation is to use "slope-intercept form." That form looks like ...
y = mx + b . . . . . . where m is the slope, b is the y-inercept
You are given m = -3 and b = 5, so the equation you are asked to write can be ...
y = -3x +5 . . . . . . this equation is the answer to the question
__
Additional comment
There are many forms of the equation for a line. Another one in common use for problems like this is the "point-slope form." You would use that one for a simple, direct answer to writing an equation for a line with a given slope through a given point.
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
If you are given the x- and y-intercepts, you can use "intercept form" to write the equation:
x/a +y/b = 1 . . . . . for x-intercept 'a' and y-intercept 'b'
Another useful form is "standard form", which has ...
ax +by = c . . . . where a > 0, and a, b, c are mutually prime
For example, the equation for your line could be written in standard form as ...
3x +y = 5
please help. please help.
Answer:
A. $3960
B. r=40x^2+400x+3000
C. $200
Step-by-step explanation:
A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write . R=PC
Per price increase is $20. So four price increase is $20x4=80. Hence, price per dive is 100+80=$180.
Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4x2=8 customers are reduced. Hence, total customers is 30-8=22
So Total Revenue is: R= 180 x 22= 3960
B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.
Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.
Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.
R= (100+2x)(30-2x) = -40x^2+400x+3000
C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y).
That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5 x 20= 100. So the price that gives the greatest revenue is 100+100 = 200
The local college has a swimming pool that measures 50m long and 25m wide if u swam from one corner to the other how far would u swim
Answer:
55.9 m
Step-by-step explanation:
If you swam from one cornee to the other, you divide the rectangle into 2 right triangles
the diagonal is a common hypothenus of the triangles
applying pytha
C² = A² + B²
C² = 25² + 50²
C² = 625 + 2500
C² = 3125
C = sqrt 3125
C = 55.9 m
Answer:
105 cubic meters
Step-by-step explanation:
Which choices are equivalent to the quotient below? Check all that apply.
Answer:
C
Step-by-step explanation:
4
_
2 can be multiple by 3 and that will be same as 12
_
6
in each diagram line p is parallel ANSWER FAST Pls
Answer:
choice A is correct
Step-by-step explanation:
the value of x should be 75
t divided by 5 = 2.9
What step should be performed on both sides of this equation to find the solution?
Add 5.
Subtract 5.
Multiply by 5.
Divide by 5.
Answer:
multiply by 5
Step-by-step explanation:
Answer:
3 / C. Your answer is multiply by 5!!!!!
Step-by-step explanation:
Hope this helps!
What is the area of a regular pentagon with a side of 15 cm?
Answer:
hello.
• Area: 387.11cm²
•A (side)= 15 cm.
hope this helps.
Each side of the square below is 8 inches. A triangle inside of a square. The top of the triangle divides a side of the square into 2 equal parts of 4 inches. The triangle is shaded and the area to the right of the triangle is shaded. What is the probability that a point chosen at random in the square is in the blue region? 0. 25 0. 33 0. 66 0. 75.
The probability that a point is chosen at random in the square is in the blue region is 0.8.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As we know that the area of the shaded region is the sum of the area of triangle A and the area of triangle B. Therefore, the area of the blue shaded region is,
[tex]\text{Area of shaded region} = (\dfrac{1}{2} \times 8 \times 8) + (\dfrac{1}{2} \times 4 \times 8)[/tex]
[tex]= (32) + (16)\\\\= 48\rm\ in^2[/tex]
The area of the square can be written as,
[tex]\text{Area of Square} = \rm(Side)^2 = 8^2 = 64\ in^2[/tex]
Now, the probability that a point is chosen at random in the square is in the blue region can be written as,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm Probability = \dfrac{\text{Area of blue region}}{\text{Area of square}}\\\\Probability = \dfrac{48}{60} = 0.8[/tex]
Hence, the probability that a point is chosen at random in the square is in the blue region is 0.8.
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Carlos paid for 7 pallets of grass to be delivered.
Each pallet of grass cost $108.25.
Carlos paid $89.99 for delivery.
What is the total amount Carlos paid?
Answer:
$847.74
Explanation:
Each pallet → $108.257 pallets → $108.25 * 7 = $757.75total cost:
7 pallets cost + delivery cost $757.75 + $89.99$847.74Answer:
$847.74
Step-by-step explanation:
Given:
Cost of one pallet = $108.25Delivery charge = $89.99 Number of pallets in order = 7Total amount paid = (cost of one pallet x number of pallets ordered) + delivery charge
⇒ total = (108.25 x 7) + 89.99
= 757.75 + 89.99
= 847.74