Answer:
Step-by-step explanation:
If you have 61 numbers, the middle number is the median. 30 numbers are below the median and 30 numbers are above the median. The middle number is the 61 number. At most and at least 30 numbers can be above the median. I think the statement is true.
If the simple interest on a certain sum of money for 3 years is three-tenth of the sum,then find the rate of interest per annum
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Answer:
10%
Step-by-step explanation:
We assume the "sum" being referred to in both cases is the principal amount invested. The simple interest formula tells you ...
I = Prt . . . . . . interest on P invested at annual rate r for t years
We have ...
I = 0.3Pt = 3Filling in these values, we get ...
0.3P = Pr(3)
0.1 = r . . . . . . . . divide by 3P
The interest rate is 0.1×100% = 10% per year.
Una pelota se deja caer de una determinada altura, y en cada rebote que da pierde 1/4 de la altura. Si después de 3 rebotes alcanza una altura de 27 metros, cuál es la altura desde donde se le dejó caer
Answer:
Step-by-step explanation:
On this page, an interesting example is presented that allows the student to obtain expressions for a general case after examining the first two or three situations. It is an exercise in geometric progressions, a common topic in elementary-level Mathematics courses.
Bounces in the horizontal plane
Balon7.gif (2174 bytes)
When a ball bounces off a rigid board, the component of the velocity perpendicular to the board decreases in value, leaving the parallel component unchanged
v x = u x
v y = -e u y
Heights of successive bounces
Suppose a ball is dropped from an initial height h . We are going to calculate the heights of the successive bounces.
1.-First bounce
The velocity of the ball before it hits the ground is calculated by applying the principle of conservation of energy
The velocity of the ball after the collision is (in modulus) v 1 = e u 1
The ball ascends with an initial velocity v 1 , and reaches a maximum height h 1 which is calculated by applying the principle of conservation of energy
2.-Second bounce
The velocity of the ball before it hits the ground is calculated by applying the principle of conservation of energy
The velocity of the ball after the collision is v 2 = e u 2
The ball ascends with an initial velocity v 2 , and reaches a maximum height h 2 which is calculated by applying the principle of conservation of energy
3.-Bounce n
After collision n , the maximum height the ball reaches is
h n = e 2n h
Loss of energy experienced by the ball
In the first collision, the ball loses an energy
In the second collision, the ball loses an energy
In the collision n the ball loses an energy
The sum of Δ E 1 + Δ E 2 + Δ E 3 +…. Δ E n is the energy lost by the ball after n collisions. After infinite collisions the ball will have lost all its initial energy mgh . We are going to check it by adding the infinite terms of a geometric progression of ratio e 2 and whose first term is Δ E 1
Time it takes for the ball to stop.
The time it takes for the ball to reach the ground when dropped from a height h from rest is
The ball bounces and rises to a height h 1 , then falls back to the ground. The time it takes to go up and down is
The ball bounces and rises to a height h 2 , and then falls back to the ground. The time it takes to go up and down is
The total time after infinite bounces is the sum of t 0 and the terms of a geometric progression whose first term is 2 t 0 e and whose ratio is e.
If the ball is given a horizontal initial velocity v x . After infinite bounces, it moves a horiz
Helpppppooooo quickly
Answer:
it is the last one
Step-by-step explanation:
39. The difference between simple and compound interest on Rs. 500 for 3 years in yearly rate of interest is Rs. 2.432. What is the rate of interest ?
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Answer:
4%
Step-by-step explanation:
The multiplier for computing simple interest over a 3-year period is ...
I = Prt . . . . . interest on principal P at rate r for t years
I/P = rt = 3r
The multiplier for computing compound interest over a 3-year period is ...
A = P(1 +r)^t . . . . amount with interest
A/P -1 = (1 +r)^3 -1 . . . . multiplier for computing interest only
Then the multiplier for the difference in amounts of interest is ...
((1 +r)^3 -1) -3r = (1 +3r +3r^2 +r^3) -1 -3r = r^2(3 +r)
This means we need to solve the cubic ...
r^2(3 +r) = 2.432/500
__
This can be solved a variety of ways. Perhaps my favorite is a graphical solution. For that, we would rewrite the equation to the form ...
f(x) = x^2(3 +x) -0.004864
so the solution is found where f(x) = 0. The graph shows the solution to be ...
x = 0.04
The rate of interest is 0.04 = 4%.
_____
Additional comment
Using the above f(x) to develop a Newton's Method iterator, we find it to be ...
x' = (x²(2x +3) +0.004864)/(3x(x +2))
This needs a starting value, so we need an initial clue as to the approximate interest rate.
That can be offered by rearranging the cubic we first developed:
r = √(0.004864/(r +3))
Starting with r=0, this gives r ≈ 0.0402. At this point, we can either use this equation as an iterator, or use the Newton's method iterator above. Both will give an interest rate accurate to 4 or 5 decimal places in one iteration.
__
You may be aware from the development above that the polynomial that must be solved will have a degree equal to the number of years over which interest is computed. That is, solving the same question for a 10-year period would involve finding the root of a 10th-degree polynomial.
find the image of O(-2,-1) after two reflection first across the line y = -5 and then across the line x = 1
Answer:
12 divide mo 5 and result is 1 x 5
Answer: (4,-9)
hope i helped
from 15 to 20
what percent of change
Answer:75/100 or 75%
We can see that our fraction is 75/100, which means that 15/20 as a percentage is 75%.
Since 20 x 5=100 so 75/100
15 x 5=75
Hope this helped!
Have a great day!
Hi, please help out on this.
The answer is the last one, [tex]2\frac{11}{12}[/tex]
I-Ready sucks. Please help. I’m a bit young so it might be easy for you.
Answer:
answer is b
Step-by-step explanation:
The answer is B the second option.
help plsssssssssssssssssssssssssssssss
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Answer:
(16, -23)
Step-by-step explanation:
We assume your notation means the figure is dilated by a factor of 3 with the origin as the center of dilation, then it is translated 2 units left and 4 units up.
These transformations can be written as ...
(x, y) ⇒ (3x, 3y) . . . . . . . dilation by a factor of 3 about the origin
(x, y) ⇒ (x -2, y +4) . . . . translation by (-2, 4)
These two transformations together give you ...
(x, y) ⇒ (3x -2, 3y +4)
(6, -9) ⇒ (3·6 -2, 3(-9) +4) = (18 -2, -27 +4) = (16, -23)
The point is transformed to (16, -23).
Use thermos to find c in the following circles x= a b c
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Answer:
x = ab/c
Step-by-step explanation:
The applicable theorem tells you the product of chord lengths is the same for the two crossing chords:
ab = cx
x = ab/c . . . . . divide by the coefficient of x
A store is open 9 hours each day. It is open 6 days each week. How many hours hours is the store open each week. Explain how you can find the answer using Distributive property with multiplication and subtraction
Answer:
54 hours
Step-by-step explanation:
9 hours everyday, so you just mulitply the amount of the hours to the amount of days. equation: 9x6
The hours is the store open each week would be 54 hours
What is the distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
a(b + c) = a x b + a x c
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space). This property is known by distributive law and applies to subtraction also.
Given that store is open 9 hours each day. It is open for 6 days each week.
Using Distributive property with multiplication and subtraction;
we just need to multiply the number of hours by the number of days. equation:
9 hour every day
9 x 6 = 54 hours
Hence, 54 hours every day the store is open each week.
Learn more about the distributive property here;
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Cheyenne's car is in the shop, so she needs to rent a car for 4 days. The cost of a
rental car is $24.99 per day, and she will be charged $0.18 per mile for every mile
she drives over 200 miles. If she drives 300 miles and the sales tax she pays on the
rental is 5.5%, how much will she pay for this rental?
$117.96
$130.94
$99.96
$124.45
Answer:
Cheyenne's rental car will cost $124.45
Step-by-step explanation:
24.99(cost/day)*4 days=99.96
300(mi driven)-200(mi allowed)=100 miles that must be paid for
100*.18(cost per mile)=18.00
99.96+18.00=117.96
117.96*.055(5.5% tax rate)=6.49
117.96+6.48=124.45
Please allow me to know if I helped you by clicking thank you, rating or brainly.
Miss Hawaii
An IQ test is designed so that the mean is 100 and the standard deviation is for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with % confidence that the sample mean is within IQ points of the true mean. Assume that and determine the required sample size.
Answer:
i don't know I'm sorry
Answer:
The sample size is n=246
Step-by-step explanation:
Please answer! No links!!!
Picture is included.
Answer:
B
Step-by-step explanation:
[tex]0.(81) = \frac{81}{99} = \frac{9}{11}[/tex]
Will give brainliest
Answer:
I think its the lifo method im not sure but i had a question like this in class
A bag contains 60 frisbees. Some are white and the rest are orange. There are 14 white Frisbees for every orange Frisbee. How many white Frisbees are there.
Answer:
there are 56 white frisbees
whoever answers correctly gets brainliest answer
Answer:
[tex] \frac{162.5}{325} = \frac{156}{x} \\ x = (325 \times 156) \div 162.5 = 312[/tex]
Answer:
This can solve by using corresponding triangles.
(TS/RT) = (VU/RV)
[tex](156 \div 162.5) \times 325 = vu[/tex]
VU = 309.12
= 309 m
there are about 20 school days in a month so how many miles does I walk to school in a month
Answer:
We need to know how many miles it takes to get to school
Edit:
100 miles
Explanation:
5 x 20 = 100
Answer:
100mile
Step-by-step explanation:
5miles a day multiplied by 20 school days
a bottle of shampoo and a bottle of body wash cost $14.50 in all. Mrs. Diaz buys 3 bottles of shampoo and 5 bottles of body wash for $56.90. What is the cost of one bottle of shampoo?
Answer: $5.50
Step-by-step explanation: because adding all the shampoo together
The cost of one bottle of shampoo is $ 7.8
The cost is $ 7.8
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of one bottle of shampoo be = x
Let the cost of one bottle of body wash be = y
Now ,
The total cost of a bottle of shampoo and a bottle of body wash = $ 14.50
Substituting the values in the equation , we get
x + y = 14.50 be equation (1)
And ,
The cost of 3 bottles of shampoo and 5 bottles of body wash = $ 56.90
Substituting the values in the equation , we get
3x + 5y = 56.90 be equation (2)
On simplifying equation (1) and equation (2) , we get
Multiply equation (1) with 5 , we get
5x + 5y = 72.5 be equation (3)
Subtract equation (2) from equation (3) , we get
2x = 15.6
Divide by 2 on both sides of the equation , we get
x = $ 7.8
Therefore , the value of x is $ 7.8
Hence , The cost of one bottle of shampoo is $ 7.8
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Given that f(x) = x^2– 5x– 36 and g(x) = x + 4, find (f +9)(x) and express
the result in standard form.
Answer:
[tex] \longmapsto \: f(x) = {x}^{2} - 5x - 36 \\ \longmapsto \: g(x) = x + 4 \\ \longmapsto(f + g)(x) \\ = f(x) + g(x) \\ = ( {x}^{2} - 5x - 36) + (x + 4) \\ = {x}^{2} - 5x - 36 + x + 4 \\ = \boxed{ {x}^{2} - 4x - 32}[/tex]
x²-4x-32 (in standard form) is the right answer.Help me pleaseeee I need help
Answer:
a. 640 times 0.15 plus 8$ for monthly is 104dollars
b. kilowatts/hour, rise over run
c. 53-8 divided by 0.15 is 300 kilowatts
Translate the sentence into algebraic symbols.
If a number is increased by 27 and then the sum is multiplied by seven, the
result is 150.
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Answer:
7(x +27) = 150
Step-by-step explanation:
Let x represent the number.
"a number increased by 27" . . . . x +27
"the sum multiplied by 7" . . . . . 7(x +27)
"the result is 150" . . . . . . 7(x +27) = 150
The last time it placed an order for ingredients, Sweet Treats Bakery ordered 3,230 kilograms of sugar. This time, the bakery is ordering 80% more sugar. How much sugar is that?
Answer:
5,814 kilograms of sugar
Step-by-step explanation:
3,230 x 80% = 3,230 x 0.8
3,230 x 80% =2584
2584+3230=5,814
solve pls brainliest
Answer:
1/2
Step-by-step explanation:
1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2 (common denominator: 6)
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] \frac{1}{6} + \frac{1}{3} = \frac{1}{6} + \frac{2}{6} = \frac{3}{6} = \frac{1}{2} [/tex]
──────────── ೄྀ࿐ ˊˎ-
PRELIMINARY
Fractions are part of a whole. For example, if an object is divided into two equal parts, the value of each part is half or one-half of the total number of objects. Fractions can be expressed in the form:
[tex] \frac{a}{b} [/tex]
a is the numeratorb is the denominatorDISCUSSION
Fractions also have fractions in different forms but have the same value which are called equivalent fractions. Fractions can also be simplified. To find a fraction equal to a fraction, we can multiply (×) or divide (÷) the numerator and denominator of the fraction by the same number. And to simplify fractions, we can divide (÷) the numerator and denominator of the fraction with the same number.
**
There are various forms of fractions, including:
Common Fractions are fractions that consist of a numerator and denominator.Mixed fractions are fractions that consist of whole numbers and fractions. If the numerator of a fraction is greater than the denominator, the fraction can be converted into a mixed number. To get the mixed number form of a common fraction, divide the numerator of the fraction by the denominator.A decimal fraction is a fraction of tenths, hundredths, thousandths, and so on written using a comma (,).Percents are another form of fraction with a denominator of one hundred. Percent is written with the symbol %.**
Now from the discussion above, it turns out that ordinary fractions still have two more types, namely =
Pure Fraction➳ A pure fraction is a fraction whose numerator is smaller than the denominator.
Impure fractions➳ An impure fraction is a fraction whose numerator is greater than its denominator.
**
The arithmetic operations also apply to fractions, including:
Addition (+)Subtraction (-)Multiplication (×)Division (÷)................................Answer Details:Subject: Mathematics
Grade: 5
Question Code: 2
Material : Chapter 5 - Fractions
Categorization Code : 5.2.5
Keywords: Definition of Fractions, Types of Fractions
HELP!!
To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true
Why or why not? What does that mean about the slope between points E and A and the slope between the points A an
C?
Answer: Slope for both is 2/3
Step-by-step explanation:
The slope for blue is 4/6, or 2/3 simplified
The slope for yellow is 2/3
Therefore, the slope is the same for both. EA and AC have the same slope.
Please use the graph to answer
Answer:
Step-by-step explanation:
Pick two points and calculate the slope (Rise/Run).
I picked (-2,0) and (2,-2)
Rise = (-2 - 0) = -2
Run = (2-(-2)) = 4
Slope (Rise/Run) = -2/4 or -1/2
The line has an intercept of -1 (the "b" in y=mx + b)
So the equation is y = -(1/2)x -1
what is the answer for this question? i will mark as brainliest
Answer:
45 degrees, 135 degrees, 225 degrees, 315 degrees
Step-by-step explanation:
x = 45 degrees + k * 90 degrees
t^3-4t^2-.5t+2=0
t = 4
t = 2^.5/2
cosx=2^.5/2
5.1 Sq ft = how many sq in? Give me a whole number or a decimal. Round to the appropriate number of significant digits. Thanks!
Answer: 734.4 square inches
Step-by-step explanation:
3/400 as a percent step by step explanation
Answer:
0.75%
Step-by-step explanation:
First, do 3 divided by 4 which is 0.0075. But this is in decimal form, so we have to multiply this by 100. 0.0075 x 100 is 0.75, so therefore the fraction, 3/400 as an percentage is 0.75%. I hope this makes sense!
Solve each inequality, graph the solution W + 5 < 12
Answer:
W < 7
Step-by-step explanation:
1.
Step 1: Subtract 5 from both sides.
[tex]W + 5 - 5 < 12 - 5[/tex] [tex]W < 7[/tex]2. Check out the image below to see the graphed solution.