Answer:
C. The price of "personal computers and peripheral equipment" decreased 89.3%.
Step-by-step explanation:
Consumer Price Index (CPI) measures change in price level, of weighted average market basket of consumer goods & services produced by households.
CPI calculated change in current year price level with regards to base year price level, base year price = 100. CPI > 100 implies that inflation (price rise) has occurred in current year from base year. CPI < 100 implies that deflation (price fall) has occurred in current year from base year.
CPI for 'personal computers & equipment' = 10.7 implies that prices of 'personal computers & equipment' have fallen or deflated. As per base year price = 100, prices have fallen by 100 - 10.7 = 89.3%
Answer:
The answer is "Option B"
Step-by-step explanation:
\(CPI = 10.7 \ in \ (\ june, \ 2006) \\\\CPI_{2006}= \frac{\ cost \ of \ basket \ of \ year \ 2006}{\ cost \ of \ basket \ of \ year \ 1982 \ to \ 84} \times 100\\\\\frac{10.7}{100} =\frac{\ cost \ of \ basket \ of \ year \ 2006}{\ cost \ of \ basket \ of \ year \ 1982 \ to \ 84}\\\\\)
The cost of basket \(_{1982 \ to 1984} \times 0.107= \ cost \ of \ basket_{2006} \\\\\)
\(\ cost \ of \ basket_{1982 \ to 1984} \ is \ given \ as \ 100\\\therefore \ \ cost \ of \ basket_{2006} = 100 \times 0.107\\\\\)
\(\ = 10.7\\\\\)
So, the answer is 10.7 % .
9965 divided by 19.9 estimate
Answer: 500.7
500.75 = 500.7
Step-by-step explanation:
The estimated value is 500
What is estimation?Estimating in math is a way of approximately calculating an answer (getting a 'rough answer') or to check its accuracy (the 'right answer').
Given that, 9965 divided by 19.9 estimate
Let 9965 ≈ 9970
19.9 ≈ 20
9970 ÷ 20
9970 / 20
= 498.5
≈ 500
Hence, the estimated value is 500.
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can someone help me with this question?
Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?
A.
4 boxes; 21 scented candles and 12 candle holders
B.
6 boxes; 14 scented candles and 8 candle holders
C.
12 boxes; 7 scented candles and 4 candle holders
D.
24 boxes; 3 scented candles and 2 candle holders
The answer is A
Hope this helps!
Jordan's mom bought 7 packs of juice boxes for the team to drink after practice. Each pack had 8 boxes of juice. After the team drank as much juice as they wanted, there were 29 boxes of juice remaining. The team only opened each pack after they drank all the boxes from the pack before.
How many packs of juice did the team open?
The number of packs of juice did the team open is 4 packs.
Given that, Jordan's mom bought 7 packs of juice boxes for the team to drink after practice.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
In each pack there are 8 boxes of juice
Number of juice boxes
= 7×8
= 56
Number juice boxes remaining
= 56-29
= 27
Now, 27/8 =3.375
Therefore, the number of packs of juice did the team open is 4 packs.
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Ezekiel has a $35 budget for school supplies, and he's already spent half of it on notebooks
and binders. Now he needs some pens. If pens only come in packs of 12 and they cost $5
per pack, what's the maximum number of pens he can afford with the rest of his budget?
A) 42 pens
B) 36 pens
C) 3 pens
D) 3.5 pens
Answer:
B
Step-by-step explanation:
let's list everything out.
$35 for school supplies
$17.5 has already been used
$17.5 is left
pens only come in packs of 12
one pack of pens is $5
ok, so we know its definitely not C or D because they are less than 12
42 is not divisible by 12
since packs only come in 12's then it must be B.
good luck my friend!
the answer of this please? thank you for very much i really appreciate!
Answer:
77 degrees
Step-by-step explanation:
The interior angles of a triangle always add up to 180 degrees, so you can form an equation:
\(x + 71 + 32 = 180\)
\(x + 103 = 180\\x = 77\)
A family is planning their vacation to Disney World. They will drive from a small town outside New Orleans,
Louisiana, to Orlando, Florida, a distance of 700 miles. They plan to average a rate of 55 mph. How long will this
trip take?
The time taken for the trip will be 12.7 hours.
How to calculate the value?It should be noted that time taken is calculated as:
Time = Distance / Speed
Distance = 700 miles
Speed = 55 mph
Time = 700/55
Time = 12.7 hours.
Therefore, the time taken for the trip will be 12.7 hours.
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4 hundreds 6 hundredths - 3 hundredths
help
Answer:
7 hundredths
Step-by-step explanation:
add 4 to 6 and take away 3
Answer:
7 hundreds..................
Opposite of -4 degrees celsis
Answer : 4 Degrees Celsis
Explanation : Use The Absolute Value
I -4 I = 4
◊ YusuCr ◊
Answer: 4 degrees Celsius
Hope this helps!
Jody decides to ride her bike from her house to the park. The distance she travels on her bike, in kilometers, is equal to the function f(t), where t represents the number of hours she has been riding her bike. Jody rides her bike from her house to the park. Before Jody leaves her house f(0) = 0, and when Jody reaches the park f(2) = 30. From the information given, determine whether each statement is a correct interpretation that can be made about Jody's bike ride. Select Correct or Incorrect for each statement. Correct Incorrect It takes Jody 2 hours to bike to the park. The park is located 2 kilometers from Jody's house. When Jody is at her house she has biked for 0 hours.
Answer:
A)It takes Jody 2 hours to bike to the park.- Correct
B)The park is located 2 kilometers from Jody's house.- Incorrect
C) When Jody is at her house she has biked for 0 hours.- Correct
Step-by-step explanation:
We are given that The distance she travels on her bike, in kilometers, is equal to the function f(t), where t represents the number of hours she has been riding her bike.
f(t)= Distance covered in t hours
t = time in hours
Jody rides her bike from her house to the park. Before Jody leaves her house f(0) = 0
So, Distance covered in 0 hours is 0 km
So, When Jody is at her house she has biked for 0 hours
Jody reaches the park f(2) = 30.
So, Distance traveled in 2 hours is 30 km
So, It takes 2 hours to reach park
A)It takes Jody 2 hours to bike to the park.- Correct
B)The park is located 2 kilometers from Jody's house.- Incorrect
C) When Jody is at her house she has biked for 0 hours.- Correct
Answer:
1. Correct
2. Incorrect
3. Correct
Step-by-step explanation:
the other dude said it lol
The sum of the ages of two brothers Kofi and Kwaku is 35. Kofi age is 2/3 of Kwaku's age. find their ages.
2/3 of 35 is 23. Kofi is 23.
Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
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Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
Compare the numbers
0.4 and 0.19
<
>
+
Answer:
0.4 > 0.19
Step-by-step explanation:
you can view it as 40 and 19, so which is bigger 40 or 19?
What is the formula forfinding the area of a circle using its radius or diameter.
Answer:
The formula for finding the area of a circle using its radius is:
The formula for finding the area of a circle using its radius is:A = πr²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14
Step-by-step explanation:
Hope it Helps
The formula for finding the area of a circle using its radius is π * r².
The formula for finding the area of a circle using its diameter is (π/4) * d².
The formula for finding the area of a circle using its radius is:
A = π * r²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
r represents the radius of the circle.
If you have the diameter of the circle instead of the radius, you can use the following formula:
A = (π/4) * d²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
d is the diameter of the circle.
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need help on my final, dealing with parent functions
Answer:
x = 3 squared and it is the righr answer
Answer:
pretty hard to read. Sorry
Step-by-step explanation:
Solving Inverse Variation Relationships
The value of z varies inversely with the value of w. The constant of variation is 2. Which are possible values for z
and w? Check all that apply
z=4,w= 1/2
z= 2, w = 3
z= 1/3 w=w
z= 4/15 w= 5/3
z=7/2 w= 1/3
Answer:
z=4,w= 1/2
Step-by-step explanation:
If z varies inversely with the value of w, then;
z = k/w
k is the constant of variation
k = zw
If k = 2
zw = 2
The product of z and w must give us 2. This will allow us to know the possible values of z and w
For z=4,w= 1/2
zw = 4 * 1/2
zw = 2
This answer is therefore true
Hence the possible value is z=4,w= 1/2
Answer:
1
3
4
Step-by-step explanation:
EDGE 2021
Pls help what do I write in box pls.
The simplified expression can be written as:
\((-\sqrt{6} )*(-2*\sqrt{-42} ) = \sqrt{-1,008}\)
How to completely simplify the given expression?
Here you need to remember the property:
\(\sqrt{x} *\sqrt{y} = \sqrt{x*y}\)
Now we have the expression:
\((-\sqrt{6} )*(-2*\sqrt{-42} )\)
First, we can cancel the two first negative signs to get:
\((\sqrt{6} )*(2*\sqrt{-42} )\)
Now we can write the 2 as the square root of 4.
\((\sqrt{6} )*(\sqrt{4} *\sqrt{-42} )\)
Finally, we can use the above property to get:
\((\sqrt{6} )*(\sqrt{4} *\sqrt{-42} ) = \sqrt{6*4*(-42)} = \sqrt{-1,008}\)
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What is the solution of the following system of equations 5x+7y=3, 2x=-3y+1
Answer:
point form: (2,-1)
equation form: x=2,y=-1
Step-by-step explanation:
Answer:
X = 2 and y = -1
Step-by-step explanation:
add 3y to both sides of 2x = -3y + 1
2x + 3y = 1
5x + 7y = 3
multiply (2x + 3y = 1) by -5 and (5x + 7y =3) by 2
-10x - 15y = -5
10x + 14y = 6
-y = 1
y = -1
plug in y
2x = -3(-1) + 1
2x = 4
divide by 2
x = 2
A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 33 8
Female 66 16
Since P(male)×P(fail) = and P(male and fail) = , the two results are___ so the events are___
Since, P(male)*P(fail)= 0.33 and P(male and fail) = 0.33 , the two results are equal and independent.
What is Probability?
The possibility of outcome of any event is found by probability. as for an example whenever we toss a coin in the air, then what is the possibility that we get a head? Only based on possible outcomes we can answer this question. It is that part of events which deals with the results of random events. We can basically call it as prediction of any event that is based on study of previous record or the type and no of possible outcome.
Probability of happening of an event= Total no of favorable outcomes/ Total no of outcomes
Here in this question;
P(male/fail)= P(male and fail)/P(fail)
= \(\frac{8/123}{(8+16)/123}\)
=\(\frac{8}{24} = \frac{1}{3} = 0.33\)
P(male) = \(\frac{33+8}{123} = \frac{41}{123} =\frac{1}{3} = 0.33\)
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Translate: 10 times divided by 8
I have a six sided cube what is the experimental probability of rolling a six
sum of n terms of series 0.3, 0.33, 0.333,.......
9514 1404 393
Answer:
(9n +10^(-n) -1)/27
Step-by-step explanation:
The tricky part is figuring out how to describe the series. The general term can be described by ...
an = (1/3)(1 -10^(-n))
Then the sum of n terms is ...
\(\displaystyle\sum_{k=1}^n{\frac{1-10^{-k}}{3}}=\frac{n}{3}-\frac{1-10^{-n}}{30(1-10^{-1})}=\boxed{\frac{9n+10^{-n}-1}{27}}\)
Answer:
(9n+10)^(-n)-1)/27Step-by-step explanation:
hope it helps
Five more than three times a number, written out in numbers
Piece by piece.
Five more than something.
\(x+5\)
Five more than 3 times something.
\(3x+5\)
Hope this helps :)
What is the value of -(9)?
Answer: 9
Step-by-step explanation:
Remember the value is the opposite value of the number so negative 9 the value would be the same number but positive 9
Subtract (-2x4-4y3+4z3+6) - (-9x4-3y3+4z3+9)
Answer:
Step-by-step explanation:
-2x^4 - 4y^3 + 4z^3 + 6 + 9x^4 + 3y^3 - 4z^3 - 9
7x^4 - y^3 - 3
Answer:
28x-3y-3
Step-by-step explanation:
(-2x × 4 - 4v × 3 + 4z× 3 + 6) - (-9× × 4 - 3v× 3 + 4
Multiply the monomials
(-8×-4y×3+ 42×3+6)-(-9××4-3y×3+42×3+9
Multiply the monomials
(-8x-12y + 4z × 3 + 6) - (-9x× 4 - 3y × 3 + 4z × 3 + 9)
Multiply the monomials
(-8x - 12y + 12z +6) - (-9× × 4 - 3y × 3 + 4z × 3 + 9)
Multiply the monomials
(-8x-12y +12z +6) - (-36x -3y × 3+ 4z × 3 + 9)
Multiply the monomials
(-8x-12y + 12z + 6) - (-36x - 9y + 4z × 3 + 9)
8×-12y+122+6-(-36×-9y+122+9
Remove the parentheses for addition or
subtraction
-8x - 12y + 12z + 6 + 36x + 9y - 12z - 9
-8x - 12y + 12z + 6 + 36x + 9y - 12z - 9
Reorder and gather like terms
(-8x + 36x) + (-12y + 9y) + (12z - 12z) + (6 - 9) 3 steps
Collect coefficients of like terms
(-8+36) ××+ (-12 + 9) × y+ (12 - 12) × z+ (6 - 9)
What is identity Theft? Your own words
Answer:
when someone is pretending to be you and like using your credit card or other form of like identity
Step-by-step explanation:
How many tens are in 192
Answer:
19
Step-by-step explanation:
if it was to be 100 its would have been 10 tens. so since its 192 its, 19 tens with an extra 2.
There are \(9\) tens in \(192\).
The system or method of writing certain numbers with the help of some rules is called a number system.
Usually, we write numbers in two ways i. e. national and international.
we write these numbers using periods.
example of the national number system is \(23, 56, 78, 999\) that it is read as twenty-three crore fifty-six lakhs seventy-eight thousand nine hundred ninety-nine.
example of an international number system is \(456,456\) , read as four hundred fifty-six thousand four hundred fifty-six.
On expanding \(192\) we get ;
\(192 = 100 + 90 + 2\)
which contains 9 at its tens place .
Thus, on expanding we get \(9\) tens.
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COMPOSITIONS OF FUNCTIONS HELP
Answer:
56
Step-by-step explanation:
g(x)=5x+1
(gog)(2)=5(5x+1)+1
=5(5(2)+1)+1
=5(10+1)+1
=5(11)+1
=55+1
=56
Graph the line with slope 1/3 and y-intercept −2.
The graph of the function y = 1/3x - 2 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
Slope = 1/3y-intercept = -2So, the equation is
y = 1/3x - 2
The above function is a linear function that has been transformed as follows
Vertically stretched by a factor of 1/3Shifted down by 2 unitsNext, we plot the graph using a graphing tool by taking note of the above transformations rules
The graph of the function is added as an attachment
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