The demand function for SkanDisc 2GB thumb drives is given by p = 3(x + 4) e^{-x/4}
where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Compute the price, p, when x = 12. Do not round your answer. Price, p =___ dollars
Answers
The price of SkanDisc 2GB thumb drives when x = 12 is approximately $2.391936, without rounding the answer.
The given demand function for SkanDisc 2GB thumb drives is:
p = 3(x + 4) e^(-x/4)
Here, p represents the wholesale unit price in dollars, and x represents the quantity demanded each week, measured in units of a thousand. To find the price, p, when x = 12, we substitute x = 12 in the demand function:
p = 3(12 + 4) e^(-12/4)
Simplifying the expression inside the parentheses, we get:
p = 3(16) e^(-3)
Now, we need to evaluate e^(-3). The constant e is approximately equal to 2.71828, and raising e to a negative power results in a decimal fraction between 0 and 1. Therefore, e^(-3) is a small decimal fraction.
Using a calculator, we can evaluate e^(-3) as approximately 0.049787. Substituting this value in the expression we found earlier, we get:
p = 3(16) (0.049787)
Simplifying this expression, we get:
p = 48 (0.049787)
Multiplying these two values, we get:
p ≈ 2.391936
Therefore, the price of SkanDisc 2GB thumb drives when x = 12 is approximately $2.391936, without rounding the answer.
In summary, we used the given demand function to find the price of SkanDisc 2GB thumb drives when the quantity demanded each week was x = 12. We substituted x = 12 in the demand function, evaluated the exponential term e^(-3) using a calculator, and multiplied the resulting values to find the price, p, in dollars.
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Related Questions
3(2x + 7) − 4(−3x + 5) Is (=) to
Answers
Answer:
18x+1
Step-by-step explanation:
Firstly using multiplication identity to solve parentheses :
3(2x + 7) − 4(−3x + 5) = 6x + 21 + 12x -20
Adding like terms ;
18x +1
Therefore, after simplifying the given equation we get 18x +1
______________________
Thank you!:)
Answer:-
\( \boxed{ \large{ \rm \gray{18x + 1 }}}\)\( \: \)
Solution:-
\( \textrm{3(2x + 7) − 4(−3x + 5)}\)\( \: \)
\( \textrm{6x + 21 + 12x + 20 }\)\( \: \)
\( \textrm{6x + 12x - 20 + 21}\)\( \: \)
\( \underline{ \boxed{ \rm \bold \purple{18x + 1 }}}\)\( \: \)
\( \color{lightblue}{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)
hope it helps! :)
Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options. The amount of change is different for the percent increase and the percent decrease. The ratio of the percent increase is not the same as the percent decrease. The ratio for the percent increase has a smaller denominator than the percent decrease. The ratio for the percent increase has a different numerator than the percent decrease. The original amount for the percent increase is different from the original amount for the percent decrease.
Answers
Answer:
A, C, D
Step-by-step explanation:
I took the test lol :)
(A) The amount of change is different for the percent increase and the percent decrease.
(C) The ratio for the percent increase has a smaller denominator than the percent decrease.
(D) The ratio for the percent increase has a different numerator than the percent decrease.
Percentage:A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.Example -An increase of $\(0.15\) on a $\(2.50\) price equals a fractional increase of \(\frac{0.15}{2.50} =0.06\). This represents an increase of % when expressed as a percentage.There is no mathematical restriction, therefore percentages may have various values even though the majority of % numbers fall between \(0\) and \(100\). For percent changes and comparisons, it's typical to use terms like \(111\) percent or \(35\) percent.Therefore, the correct options are as follows -
(A) The amount of change is different for the percent increase and the percent decrease.
(C) The ratio for the percent increase has a smaller denominator than the percent decrease.
(D) The ratio for the percent increase has a different numerator than the percent decrease.
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Find the area of the following figures (2/2)
Answers
The Total surface area of each given figure are:
g) 165 in²
h) 869 in²
i) 1146.57 ft²
j) 400 m²
How to find the surface area?g) The area of a triangle is given by the formula:
Area = ¹/₂ * base * height
Area of left triangle = ¹/₂ * 10 * 8 = 40 in²
Area of right triangle = ¹/₂ * 10 * 25 = 125 in²
Total surface area = 40 in² + 125 in²
Total surface area = 165 in²
h) This will be a total of the trapezium area and triangle area to get:
Total surface area = (¹/₂ * 22 * 19) + (¹/₂(22 + 38) * 22)
Total surface area = 209 + 660
Total surface area = 869 in²
i) Total surface area is:
T.S.A = (50 * 30) - ¹/₂(π * 15²)
T.S.A = 1146.57 ft²
j) Total surface area is:
TSA = 20 * 20 (This is because the removed semi circle is equal to the additional one and when we add it back to the square, it becomes a complete square)
TSA = 400 m²
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The area of a square is given as (s3)6.
What is its perimeter?
Answers
Step-by-step explanation:
what does this problem description really say ? what is the area of that square ?
36 ?
s3×6 ?
s³×6 ?
5³×6 ?
2³×6 ?
(5×3)×6 ?
(2×3)×6 ?
and these are just the options that I can see right away without really thinking about it.
in any case, the solution is to draw the square root of the area, and then multiply the result by 4.
why ?
because the area of a square is the square of the length of one of its side - like for any rectangle the area is length×width, but in a square length = width, so the area is length×length = length².
therefore, sqrt(area) = sqrt(length²) = length.
and the perimeter of the square is the way all around the whole square (4 sides), which is then
length + length + length + length = 4×length
from all the possibilities I listed up there, only 36 and (2×3)×6 lead to nice round numbers.
as the area would be in both cases 36.
sqrt(36) = 6
and the perimeter would be 6×4 = 24
WILl GIVE BRAINLIEST IF YOU SHOW THE STEPS!!!
Answers
Answer:
\(\frac{9x}{y^3}\)
Step-by-step explanation:
\(\frac{\left(3x^2y^4\right)^3}{3x^5y^{15}}\)
\((3x^2y^4)^3 : 3^3x^6y^1^2\)
= \(\frac{3^3x^6y^{12}}{3x^5y^{15}}\)
\(\frac{3^{3} }{2} = 3^{2}\)
= \(\frac{3^2x^6y^{12}}{x^5y^{15}}\)
= \(\frac{x^{6} }{x^{5} } : x\)
= \(\frac{3^2xy^{12}}{y^{15}}\)
= \(\frac{y^{12} }{y^{15} } : \frac{1}{3{y} }\)
= \(\frac{3^2x}{y^3}\)
\(3^2=9\)
= \(\frac{9x}{y^3}\)
M<7=100 find measure of <11
Answers
Answer:i think its 115 degres
Step-by-step explanation:
A is directly proportional to B.
When A = 12, B = 3
Find the value of A when B=5
Answers
Answer:
a= 20
Step-by-step explanation:
12/3
a/5
60 = 3a
a = 60/3 = 20
a tv station wishes to obtain information on the tv viewing habits in its market area. the market area contains one city of population 170,000 another city of 70,000, and four towns of about 5,000 residents each. the station suspects that the viewing habits may be different in larger and smaller cities and in the rural areas. which of the following sampling designs would yield the type of information the station requires?
Answers
By using the concept of stratified sampling, it can be concluded that
In this situation, stratified sampling is used.
What is stratified Sampling?
Suppose, there is a population. If it is required to partition the given population into subpopulation, the sampling technique used in this case is called stratified sampling.
A tv station wishes to obtain information on the tv viewing habits in its market area. The market area contains one city of population 170,000 another city of 70,000, and four towns of about 5,000 residents each.
Here, it is said that the station suspects that the viewing habits may be different in larger and smaller cities and in the rural areas.
So it is advantageous to partition the given population into subpopulation.
So stratified sampling must be used here.
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The graph of linear function f passes through the point (3, 2) and has a slope of 2. What is the zero of f?
Answers
Considering the definition of a line and zero of a linear function, the zero of the linear function that passes through the point (3, 2) and has a slope of 2 is 2.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Zeros of a functionThe points where a linear function crosses the axis of the independent term (x) represent the so-called zeros of the function.
That is, zeros of the function are those values of x for which the expression is equal to 0.
Line in this caseIn this case, you know:
The line has a slope of 2.The line passes through the point (3, 2).Substituting the value of the slope m, you get:
y= 2x +b
Replacing the value of the point in the previous expression, the value of the ordinate to the origin b can be obtained:
2= 2×3 + b
2= 6 + b
2-6= b
-4= b
The equation of the line that passes through the point (3, 2) and has a slope of 2 is y= 2x -4.
The zero of the function is calculated as:
0= 2x -4
Solving:
0 + 4= 2x
4= 2x
4÷2= x
2=x
Finally, the zero of the linear function is 2.
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in a randomly selected 100 students in a large college, 20 of them had at least one sibling. does this provide strong evidence that more than 15% of college students in america have at least one sibling? test using
Answers
Answer:
No
Step-by-step explanation:
It could only represent large colleges, not all colleges. Sampling requires similar characteristics to represent the entire population of testing.
write an equation for a degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and has a y-int at 5..
Answers
The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
How to define the polynomial?The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
The zeros of the function, along with their multiplicities, are given as follows:
Zero at x = 3 with a multiplicity of 1.Zero at x = 2 with a multiplicity of 2.Zero at x = -1 with a multiplicity of 3.Then the linear factors of the function are given as follows:
(x - 3).(x - 2)².(x + 1)³.The function is then defined as:
y = a(x - 3)(x - 2)²(x + 1)³.
In which a is the leading coefficient.
When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:
5 = -12a
a = -5/12
Hence the polynomial is:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
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Given circle O , m∠EDF=31° . Find x .
Answers
The calculated value of x in the circle is 59
How to calculate the value of xFrom the question, we have the following parameters that can be used in our computation:
The circle
The measure of angle at the center of the circle is calculated as
Center = 2 * 31
So, we have
Center = 62
The sum of angles in a triangle is 180
So, we have
x + x + 62 = 180
This gives
2x = 118
Divide by 2
x = 59
Hence, the value of x is 59
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-11+13+ 10x + 2x
I will give you brainliest
Answers
Answer:
12x + 2Step-by-step explanation:
-11 + 13 + 10x + 2x =
2 + 10x + 2x =
12x + 2
Answer:
2(6x+1)
Step-by-step explanation:
1. Add the number
-11 + 13 + 10x + 2x
2 + 10x +2x
2.Combine like terms
2 + 10x + 2x
2 + 12x
3.Arrange terms
2 + 12x
12x + 2
4.Common factor
-11 + 13 + 10x + 2x
2(6x+1)
During a science investigation six students divided 15 pounds of potting soil equally write an equation that shows how many pounds is a potting soil each student received between which two whole numbers does your answer lie
Answers
Answer: it lies between 2 and 3.
Step-by-step explanation:
You equation should be like this because what you wrote is not an equation.
15/6= p where P is the number of pounds each student received.
p=2.5
what is the measure of angle X
Answers
Answer:
The answer for x is 28°
Step-by-step explanation:
x+62=90°
x=90-62
x=28°
Solve for the value of x.
Answers
Answer:
x = 3
Step-by-step explanation:
x + x + x could also be written as 3x, and count the number of "1's" given on both sides:
3x + 4 = 13
=> subtract 4 on both sides of "="
3x = 9
=> Divide by 3 on both sides of "="
x = 3
Hope this helps!
Answer:
x=3
Step-by-step explanation:
I believe the answer would be x is equal to 3.
If you first create the equation you get 3x*4= 13
There are 3 green 'x' so that is 3x. The four orange boxes can be represented as 4, and the 13 orange boxes can be represented as 13.
Then, you solve the equation.
3x * 4 =13
Subtract 4 from both sides.
3x= 9
And simplify.
x=3.
I hope this helps! (:
the sum of two numbers is 132 and their difference is 66 find the number
Answers
Answer:
99 and 33
Step-by-step explanation:
let x and y be the 2 numbers, with x being the larger of the 2, then
x + y = 132 → (1)
x - y = 66 → (2)
add (1) and (2) term by term to eliminate y
(x + x) + (y - y) = 132 + 66
2x + 0 = 198
2x = 198 ( divide both sides by 2 )
x = 99
substitute x = 99 into (1) and solve for y
99 + y = 132 ( subtract 99 from both sides )
y = 33
the 2 numbers are 99 and 33
Use the interactive to make a vertical line with the equation of x=3. The line x=3 has _____ slope.
zero
no
positive
negative
Answers
Answer:
no slope
Step-by-step explanation:
Convert 36 pounds to kilograms. (1 pound = 0.454 kilogram)
79 kilograms
7.9 kilograms
163.44 kilograms
16.344 kilograms
Answers
The kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side.
36 pounds is equal to 16.344 kilograms.
Given that we need to convert 36 pounds to kilograms.
We have 1 pound = 0.454 kilogram,
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.454 kilogram.
Given that we have 36 pounds, we can multiply this value by the conversion factor to find the equivalent weight in kilograms:
36 pounds x 0.454 kilogram/pound = 16.344 kilograms
Therefore, 36 pounds is equal to 16.344 kilograms.
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Please help! (Also show work)
Tutorials :D
Answers
The five-number summary is:
Minimum: 9
First Quartile: 16.5
Median: 25.5
Third Quartile: 39
Maximum: 51
3. Range = 42
4. Interquartile range = 22.5
How to Find the Five-number Summary of a Data?Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:
1. The numbers in ordered from the smallest to the largest would be:
9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51
2. The five-number summary for the lengths in minutes would be:
Minimum value: this is the smallest lengths, which is 9First Quartile (Q1): this is the middle of the first half of the data set of the lengths in minutes, which is 16.5.Median: the median is the center of the data distribution which is 25.5.Third Quartile: this is the middle of the second half of the data set of the lengths in minutes, which is 39.Maximum: this is the largest length in minutes, which is, 51.3. Range of the data = max - min = 51 - 9 = 42
4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5
Interquartile range for the data set = 22.5
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The balance of errands average balance checking account at the beginning of last cycle was $400 and the only transaction for the cycle was a check that Aaron route for $200 which cleared exactly halfway through the cycle on what amount did Aaron's checking account pay interest last cycle
Answers
Answer:
$300
Step-by-step explanation:
Here we are given:
Balance at the beginning of last cycle(first half) = $400
Balance halfway through the cycle(second half cycle) = $200
To find the amount Aaron's checking account pay interest last cycle, let's find the average balance.
Use the formula for average:
\( \frac{Bal 1 + Bal 2}{2} \)
\( \frac{400 + 200}{2} \)
\( \frac{600}{2} = 300\)
Average = $300
Therefore, the amount Aaron's checking account pay interest last cycle is $300
Michael is purchasing back to school supplies. He gets a math workbook for $19.88, a calculator for $35.97, and 3 packs of pencils for $3.24 each. How much did he spend on school supplies?
Answers
10.
There are estimated 255 births every minute of every day. How many babies are born in the
world each hour?
255
6,120
12,250
15,300
Answers
Answer:
15,300
Step-by-step explanation:
multiply the estimated total number of births (255)
times 60 because there is 60 minutes in an hour
255*60= 15,300
Answer:
15,300
Step-by-step explanation:
1 hour: 60 minutes
60 x 255 = 15,300
Solve for y
7y - 8 = 41
Answers
+8 +8
7y = 49
y=7
2x16x1000x4998x9999x165x7890x5.566x8976
Answers
Answer: 1.0401352e+23
Answer:
1.0401352e+23
Step-by-step explanation:
i used used a calculator :>
What is her average from Macy scores
Answers
Answer: 85.2
Step-by-step explanation:
The answer is correct because, to find your grades your bassicaly just looking for the mean. To find the mean you have to take all the numbers and add them after you do that you have to divide how ever much numbers you added. So in this case we do 90 plus 76 plus 88 plus 80 plus 92. That equals 426, and since we added five numbers we divide the answer by 5 and that equals 85.2.
Hope This Helps!
Divide: 8 ÷ 1
2
What question should you ask to get started?
What is the quotient?
Answers
Answer:
1.how many halves are in 8
2.16
Step-by-step explanation:
I did it on edge
Answer:
what they said ^^
Step-by-step explanation: have a good day and a merry christmas
2 is a root of x– 9x+ + 24x2 – 16 = ( two times.
Please select the best answer from the choices provided
ОТ
O F
Answers
Answer:
The answer is TRUE
Step-by-step explanation:
I got it wrong^_^ good luck
A seagull is floating on the surface of the ocean when it takes off and flies upward at a rate of 4 ft per second. After 19 seconds, how far away from the surface of the water will the seagull be?
Answers
Answer:
d = 76 m
Step-by-step explanation:
It is given that, the speed of 4 ft per second when it takes off and flies upward
We need to find how far away from the surface of the water will the seagull be after 9 seconds.
Speed is distance over time.
So,
Distance, d = vt
d=4 ft/s × 19 s
d=76 meters
So, the seagull will be at a distance of 76 m from the surface of water.
28
Which of the following translates the expression, "Twice a number
decreased by 8" correctly?
O 2x+8
O 8 + 2x
O 2X-8
8 - 2x
Answers
Answer:
I believe that the answer is 2x-8