The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.
What is percentage ?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.
The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,
[tex]n=\dfrac{15}{100}\times360,920\\n=54138[/tex]
The cost of one vacuum cleaner is $68. Thus the cost of 54138 vcacuum cleaner is,
[tex]C=54138\times68\\C=3681384[/tex]
Hence, the cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.
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I also need help with these! It would mean a lot.
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
7.093 cm
Step-by-step explanation:
[tex]4.5^2+x^2=8.4^2[/tex]
[tex]20.25+x^2=70.56[/tex]
[tex]x^2=50.31[/tex]
[tex]\sqrt{50.31}= 7.093[/tex]
How many degrees Fahrenheit is -3°C? Help please
Answer:
26.6 degrees
Step-by-step explanation:
Formula
(°C × 1.8) + 32 = °F
(-3°C × 9/5) + 32 = 26.6°F
26.6
To convert temperature readings from celsius scale, formula used is -
[tex]\green{ \underline { \boxed{ \sf{F = \frac{9}{5}C +32 }}}}[/tex]
where
F = temperature in FahrenheitC = temperature in CelsiusPutting Values -
[tex]\begin{gathered}\\\implies\quad \sf F = \frac{9}{5}\times(-3) + 32 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf -\frac{27}{5} + 32 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf -5.4 + 32 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 26.6\degree F \\\end{gathered} [/tex]
Therefore, 26.6⁰ Fahrenheit is equivalent to -3⁰C.
What's 83% of £408 and what is 41% of 53g and what is 97% of 345m
Answer:
338
21.73
334.65
Step-by-step explanation:
mulitply 408×.83
multiply 53×.41
mulitply 345×.97
Amy planted a flower garden with rows of blue flowers, b, and rows of yellow flowers, y. Each row of blue flowers has 5 flowers, and each row of yellow flowers has 7 flowers. Which expression represents the total number of flowers Amy planted?
A. 5 + r + 7 + b
B. 5b + 7y
C. 5 × 7 + b × y
D. 5y + 7b
This problem has two variables, b and y. The b value is the number of rows of blue flowers, and the y value is the number of rows of yellow flowers.
In every row of blue, there are 5 flowers.
In every row of yellow, there are 7 flowers.
Therefore, our expression would be 5b + 7y.
I hope this answers your question.
-Toremi
What is the value of the expression? Show your work.
Answer:
343
Step-by-step explanation:
Given :
[tex]\frac{7^{12}*7^{9} }{(7^{6})^{3} }[/tex]Numerator
7¹² × 7⁹7²¹Denominator
(7⁶)³7¹⁸Fraction
Numerator/Denominator7²¹/7¹⁸7³343Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for $17 each.
What is the mean amount that he spent?
$34.62
$32.81
$25.86
$22
6. A pond has 150 fish, and the population
decreases by 8% each day. Find the
population after 4 days.
divide the sum of 39 and product of 18 and 6 by the difference of 50 and 14
Answer:
the imino acid found in protein strcjure
Given the figure below with mBFA = 166° and mBD = 88°, what is Help
Answer:
it should still be 166
Step-by-step explanation:
because bfa should be the same as bda
that's what i learnt about this
but i did this a long time ago so im about 70 percent sure that this is correct
Write an expression that shows 104.
Answer:
k + 104
Step-by-step explanation:
k + 104
(7-2)² - 5 / 5 I dont get the exponent part can someone help me with whole problem
(7-2)² - 5/5
Do the math in the parentheses first.
7 - 2 = 5
Now the equation should read
(5)² - 5/5 or just 5² - 5/5
Do the exponent(s).
5² = 25
25 - 5/5
Do the division.
5/5 = 1
25 - 1 = 24
Therefore, according to our equation, the answer is 24.
I hope this answered your question.
Jerome is writing a number in scientific notation. The number is greater than one million and less than ten million. What will be the exponent in the number Jerome writes?
Answer:
6 will be the exponent
Step-by-step explanation:
1 million has 6 zeros
2.5 divided by 1.5 round to the nearest tenth
Answer:
1.7
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.5/2.5=15/25=0.6 no rounding necessary
The probabilities by subject of on-time assignment submission and on-time arrival to class are given in the table. What is the chance
That the subject is physics if an assignment is submitted on time?
OA 82.396
ОВ.
88.596
Ос.
89.796
OD. insufficient data
ved.
D. insufficient data
We need to know the number of assignments in each class before we can tell the probability of interest.
__
If we assume the same number of assignments in each class, then 25.1% of on-time assignments were in physics. We note this is not an answer choice, further confirming we have insufficient data.
Find the inverse of the function
f (x) = -8x + 9
Answer:
[tex]y=\frac{x-9}{-8}[/tex]
Step-by-step explanation:
1. change f(x) to y
2. switch x and y
[tex]x= -8y+9[/tex]
3. solve for y
[tex]x-9=-8y[/tex]
[tex]y= \frac{x-9}{-8}[/tex]
Answer: y = (9-x) / 8
Step-by-step explanation:
set f(x) = y
y = -8x + 9
to find inverse repalce all y values with x and x values with y then solve for y again
x = -8y + 9
x - 9 = -8y
y = (x-9) / -8
distribute -1 through the numerator and make 8 positive
y = -x+9/8
y = (9-x)/8
Find the volumn of prism given figures
[tex]v = (5 \times 3 \times 6.5) + (2 \times 4 \times 6.5)[/tex]
[tex]v = 15 \times 6.5 + 8 \times 6.5[/tex]
[tex]v = 97.5 + 52[/tex]
[tex]v = 149.5 \: \: \: {cm}^{3} [/tex]
Calculate the side lengths using the given scale.
Someone please help me!!
Answer:
x = 12 cm
y = 2 cm
Step-by-step explanation:
Length is G are 3 times the lengths in H.
Lengths in H are 1/3 the lengths in G.
x = 3 × 4 cm = 12 cm
y = 6 cm / 3 = 2 cm
Which number is rational?
Ov2
M
O 10
O 16
O √2
O π
O √10
✔ O √16
rational numbers are decimals, whole numbers, fractions.
√16 = 4 || which is whole numberπ and √a for non whole numbers fall under irrational numbersLong-billed curlews eat many different kinds of insects, including grasshoppers, as a source of food. It has been shown that pesticide use kills many of these insects. How would you expect an increase in pesticide use to affect to the population of long-billed curlews in the same area
An increase in the use of pesticides in the same area would lead to the population of long - billed curlews decreasing.
How will the population of long-billed curlews be affected by pesticides ?An increase in pesticide use that kills many of the insects that long-billed curlews eat, such as grasshoppers, would likely have a negative impact on the population of long-billed curlews in the same area.
Since grasshoppers and other insects are a primary food source for long-billed curlews, a decline in insect populations due to pesticide use could lead to reduced food availability and increased competition for remaining food sources. This could lead to decreased population size and potentially even local extinctions.
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What is the surface area of a square pyramid with a base with a width 6 and a triangular height of 8?
Answer:
A≈138.53
Step-by-step explanation:
A=a^2+2a √a^2/4+h2
Which fraction below represents a terminating decimal?
A.
B.
C.
D.
Answer:
3/10
Step-by-step explanation:
The fraction, 1/12, can be written as 1/4 * 1/3. Since we know that 1/3 = 0.333333... and it doesn't terminate, we know that 1/12 doesn't terminate. Similarly 2/9 = 2/3*1/3 and 2/3 = 2*1/3, and neither of these fractions terminate. But, when dividing 3/10, you get 0.3, which terminates.
What is the area of the playground shown? The edges of the playground meet at right angles, except for the edge whose length is not given. Show all work.
Answer:
520,000
Step-by-step explanation:
1400 x 200 = 280000
(400 + 800) x 400 /2 = 240000
240000 + 280000 = 520000
The area of the playground is 520000 square feet.
What is the area?The area is the amount of area occupied by an object's flat (2-D) surface or shape.
Given that the edges of the playground meet at right angles, except for the edge whose length is not given.
And to find the area of the composite figure,
find all the areas separately.
There is a square with a side length of 400 feet.
A rectangle with dimensions 200 feet by 600 feet.
Another rectangle with dimensions 1400- 600 = 800 feet by 200 feet.
And a triangle with a base of 400 feet and a height of 400 feet.
The area of the playground = (400 x 400) + (200 x 600) + (800 x 200) + (1/2 x 400 x 400)
The area of the playground = 160000 + 280000 + 80000
The area of the playground is 520000 square feet.
Therefore, the area is 520000 square feet.
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Cathys playing a board game the game pieces are each in the shape of a triangle a triangle has a base of 1.5 inches in height of 2 inches what is the area of the pieces
Answer:
1.5
Step-by-step explanation:
Area of a Triangle = b x h /2
2 times 1.5 is 3, divided by 2 is 1.5
Drag each tile to the correct box. Not all tiles will be used.
The table represents the balance of Sylvia's loan, y, over a period of 24 months, x. She used technology to create the scatter plot shown and
determined the best fit equation to model the data, y=-382.05x +
25,077.40. Determine how long it will take to reach the given balances
Using the given linear function, it is found that:
The balance will be of approximately $17,000 in month 21.The balance will be of approximately $0 in month 66.What is the function for the balance?The balance after x months is modeled by:
y = -382.05x + 25077.4.
Hence, it will be of approximately $17,000 at x for which y = 17000, hence:
17000 = -382.05x + 25077.4
x = (25077.4 - 17000)/382.05
x = 21.
We apply the same logic to find when it will be of approximately 0.
0 = -382.05x + 25077.4
x = (25077.4 - 0)/382.05
x = 66.
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What is the radius and diameter of 13cm
Answer:
Radius = 6.5
diam = 13
Step-by-step explanation:
diameter is already stated
radius is half of the diameter
name the angle using three points
MÎA or AÎM
the point where the angle is has to be in the middle, but for the other two letters, you can choose which one goes where
SHADOWS A rectangular billboard casts a shadow on the ground in the shape of a parallelogram. What is the area of the ground covered by the shadow? Round your answer to the nearest tenth.
Answer:
Its still a rectangle, just move the triangles, you get 450
Step-by-step explanation:
If you think of it like a triangle, you can use the base, the 90 degree angle, and the hypotenuse to get the area, do it twice since there are two, and your result is 225 for one triangle, 450 for both.
if ey/n + k = t, what is y in terms of e, n, k, and t?
1) y= tn+k/e
2) y= tn-k/e
3) y= n(t+k)/e
4) y= n(t-k)/e
Answer:
option 4
Step-by-step explanation:
To write in terms of y
Step 1: subtract k from both sides
[tex]\sf \dfrac{ey}{n} + k - k = t -k\\\\\\\dfrac{ey}{n}=t-k[/tex]
Step 2: Multiply the entire equation by n
[tex]\sf n*\dfrac{ey}{n}=n*(t-k)\\\\\\ey=n(t-k)[/tex]
Step 3: Divide the entire equation by 'e'
[tex]\sf \dfrac{ey}{e}=\dfrac{n(t-k)}{e}\\\\\\\boxed{y =\dfrac{n(t-k)}{e}}[/tex]
Jasmine's credit card has a $2,000 balance that she carried over from last month. assuming her credit card charges an 18 percent annual interest rate, how much will her interest charges be this month?
Using simple interest, it is found that her interest charge this month will be of $30.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:
I(t) = Prt
In which:
P is the initial amount.r is the interest rate, as a decimal.In this problem, considering the time in years, the parameters are:
[tex]P = 2000, r = 0.18, t = \frac{1}{12}[/tex]
Hence:
[tex]I(t) = 2000 \times 0.18 \times \frac{1}{12} = 30[/tex]
Her interest charge this month will be of $30.
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