The cost of producing transistors decreases by 20% every year. If it currently costs $540 to produce a billion transistors, how much will it cost to produce a billion transistors in 10 years?
Answers
It will cost approximately $193.71 to produce a billion transistors in 10 years, assuming the cost reduction of 20% per year remains constant.
To determine the cost of producing a billion transistors in 10 years, we need to calculate the cost reduction over the 10-year period.
Given:
Cost of producing transistors currently = $540
Cost reduction per year = 20% = 0.20
Number of years = 10
To calculate the cost in 10 years, we can use the formula:
Cost in 10 years = Current cost * (1 - cost reduction)^number of years
Substituting the given values:
Cost in 10 years = $540 * (1 - 0.20)^10
Calculating:
Cost in 10 years = $540 * (0.80)^10
Using a calculator, we find:
Cost in 10 years ≈ $193.71
Therefore, it will cost approximately $193.71 to produce a billion transistors in 10 years, assuming the cost reduction of 20% per year remains constant.
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Related Questions
Show that if m
∗
(A)=0, then m
∗
(AUB)=m
∗
(B)
Answers
A and B have the same elements, the measure of AUB will be equal to the measure of B.
To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
- By definition, a null set has a measure of 0.
- Since m*(A) = 0, it implies that A has no elements or its measure is 0.
- Therefore, A is a null set.
2. If A is a null set, then AUB = B:
- Since A is a null set, it means that it has no elements or its measure is 0.
- In set theory, the union of a null set (A) with any set (B) results in B.
- Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
- Since AUB = B, it implies that both sets have the same elements.
- The measure of a set is defined as the sum of the measures of its individual elements.
- Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
- Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).
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Find an expression for a cubic function f if f(1) = 6 and f(-1) = f(0) = f(2) = 0.
Answers
The expression for a cubic function f will be \(f(x)=-3x^{3}+3x^{2}+6x\).
It is given that,
f(1) = 6
f(-1) = f(0) = f(2) = 0
We have to find the cubic function f which satisfies the given equations.
Let the cubic function f be:-
\(f(x)=ax^{3}+bx^{2}+cx+d\)
Where,
x is the variable
a, b, c, and d are constants
Putting f(0) = 0 in f(x), we get,
\(f(0)=a(0)^{3}+b(0)^{2}+c(0)+d=0\\\)
f(0) = 0 + 0 + 0 + d = 0
d = 0
Putting f(1) = 6 in f(x), we get,
\(f(1)=a(1)^{3}+b(1)^{2}+c(1)+d=6\\\)
f(1) = a + b + c + d = 6
a + b + c + d = 6
We know that, d = 0,
Hence,
a + b + c + 0 = 6
a + b + c = 6 ....(1)
Putting f(-1) = 0 in f(x), we get,
\(f(-1)=a(-1)^{3}+b(-1)^{2}+c(-1)+0=0\\\\\)
f(-1) = -a + b - c =0
b = a + c ...(2)
Putting (2) in (1), we get
(a + c) + b = 6
b + b = 6
2b = 6
b = 6/2
b = 3
Hence,
a + c = 3 ... (3)
Putting f(2) = 0 in f(x), we get,
\(f(2)=a(2)^{3}+b(2)^{2}+c(2)+0=0\\\)
f (2) = 8a + 4b + 2c =0
2(4a + 2b + c) = 0
4a + 2b + c = 0
4a + 2*3 + c = 0
4a + c + 6 = 0
4a + c = -6 ...(4)
(4) - (3)
(4a + c - a - c) = (-6 - 3)
3a + 0 = -9
3a = -9
a = -9/3
a = -3
Hence,
-3 + c = 3
c = 3 + 3
c = 6
We have found:-
a = -3
b = 3
c = 6
d = 0
So the equation \(f(x)=ax^{3}+bx^{2}+cx+d\) becomes \(f(x)=-3x^{3}+3x^{2}+6x\)
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a club elects a president, vice-president, and secretary-treasurer. how many sets of officers are possible if there are 15 members and any member can be elected to each position? no person can hold more than one office.
Answers
By applying permutation concepts, there are 2730 possible sets of officers.
Permutation calculates the number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.
P(n,r) = n! / (n-r)!
where n is the number of objects and r is the number of samples
In such an election, each person can only occupy one office. Therefore, the permutation concept is precisely used to calculate the number of ways to set these people.
P(15,3) = 15! / (15 - 3)!
= (15 x 14 x 13 x 12!) / 12!
= 15 x 14 x 13
= 2730 ways
Thus, there are 2730 possible sets of officers.
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fine the slope of the line y=-4x-2/3
Answers
Answer:
An equation of a line is written in the form y=mx+b. “m” is the slope and “b” is the y-intercept. So, the slope of the given line is -4.
:)
Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend onthe trip?
Answers
Answer:
3hrs 15 minutes
Step-by-step explanation:
10:45
-07:30
------------
03:15
------------
Roni starts with the number 5 and counts by 8s. This results in the sequence 5, 13, 21, 29, 37, and so on. What is the twenty-fifth number in the sequence
Answers
The 25th number in the sequence 5, 13, 21, 29, 37 where Roni starts with 5 and counts by 8s is 197.
We can use the formula for an arithmetic sequence:
nth term = a + (n - 1) * d
Where:
nth term is the term we want to find (25th number in this case)a is the first term of the sequence (5 in this case)n is the position of the term we want to find (25 in this case)d is the common difference between terms (8 in this case, since Roni counts by 8s)Plugging in the values, we have:
25th term = 5 + (25 - 1) * 8
= 5 + 24 * 8
= 5 + 192
= 197
Therefore, the 25th number in the sequence is 197.
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The protection afforded to inventors for new inventions is restricted to a given length of time; once this time has elapsed the invention is said to be:
Answers
Once the protection period for a new invention expires, the invention is said to be in the public domain.
The invention without permission from the original inventor, and the inventor cannot prevent others from doing so.
In other words, the invention becomes freely available for anyone to use or benefit from, without any legal restrictions.
The length of time for which an invention is protected depends on the type of intellectual property protection granted, such as patents or trademarks, and the laws of the country or region where the protection is sought.
The creator cannot restrict others from using, manufacturing, or selling the innovation without the consent of the original inventor.
In other words, there are no longer any constraints on who can utilise or benefit from the idea.
The kind of intellectual property protection granted, such as patents or trademarks, as well as the legal framework of the nation or region where the protection is sought, determine the duration of an invention's protection.
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How many degrees are in a full circle?
Answers
Answer: 360
Step-by-step explanation:
done
need help
- Given the line 3x-4y+24=0, determine the value of a, and b if the points (8.3,a) and (b, -10.2) are on the line.
Answers
Answer:
To find a, you'll put the value 8.3 as x in the equation to get the value of y which is equal to a. For the second point you'll put -10.2 as the value of y in the equation to get x which is equivalent to b.
Step-by-step explanation:
every point represents an ordered pair of (x, y) values.
if the point is on the given line (or any other form of curve/ function), then these x and y values make the functional equation true. if the equation turns out to be false with these values, then the point is not on that functional curve.
so, we need to find a and b to make the equations true.
(8.3, a)
3×8.3 - 4a + 24 = 0
24.9 + 24 = 4a
48.9 = 4a
a = 48.9/4 = 12.225
(b, -10.2)
3b - 4×-10.2 + 24 = 0
3b + 40.8 + 24 = 0
3b + 64.8 = 0
3b = -64.8
b = -64.8/3 = -21.6
which equation describes the line that passes through (2, 1) (0, -5?
Answers
Answer:
well, you probably have options that you didn't include, but..
(-5 -1)/ 0-2
4/ -2
-2 is the slope of the line
and an option of what the equation is:
y - 1 = -2( x - 2)
y -1 = -2x +4
y = -2x +5
Step-by-step explanation:
Answer the question please
Answers
answer:
3 is the answer.
7x=35
X=5
Hope this helps!
which situation is best modeled by an exponential distribution? tafadzwa runs between 10 and 16 laps every day. his times get slower as he gets tired, but his daily average is 48.2 s per lap. what is the probability that his mean lap time tomorrow will be less than 45 s? suppose that meteors large enough to cause mass extinction strike the earth at regular, although exceedingly large, intervals. what is the probability that a large meteor strike will cause a mass extinction event within the next 1000 years? on a dark desert highway, drivers fall asleep and run off the road randomly. what is the probability that a driver will run off the road in one particular 10-mile stretch of this highway? suppose that people call in sick randomly and independently of one another at a business called acme anvil supply. on average, one person calls in sick per week. what is the probability that no one will call in sick next week? suppose that 0.76% of tires are defective, and defective tires occur independently of one another. what is the probability that no more than three of the next 100 tires are defective?
Answers
The situation that is best represented by an exponential distribution is given by the following option:
Tafadzwa runs between 10 and 16 laps every day. his times get slower as he gets tired, but his daily average is 48.2 s per lap. what is the probability that his mean lap time tomorrow will be less than 45 s?.
Exponential distributionThe exponential probability distribution, with mean m, is described by the following mass function:
\(f(x) = \mu e^{-\mu x}\)
In which \(\mu = \frac{1}{m}\) is the decay parameter.
From this, we get that the exponential distribution is used when we want to study the time between events in a distribution, and only the first option in this problem gives it.
As for the other options, the distributions are as follows:
Meteor: Poisson distribution or binomial distribution, mean in a given time, we want to find the probability of a number.Drivers asleep in the highway: Poisson or binomial, also number of events in an interval.People calling in sick: Binomial distribution.Defective tires: Binomial distribution.More can be learned about the exponential distribution at https://brainly.com/question/16371214
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The density of a certain material is such that it weighs 6 pounds per pint of volume. Express this density in grams per liter. Round your answer to the nearest whole number.
Answers
Answer:
Density = 4779 grams per liter
Step-by-step explanation:
here we need to convert
pounds to gram
pint to liter
1 pound = 454 grams
1 pint = 0.57 liters
given
density = 6 pounds per pint
now using grams in place of pound and
liter in place of pint we have
density = 6 pounds per pint = 6*454 grams /0.57 liters
density = 2724 pounds/ 0.57 liters = 4778.94 grams / liters
Density when rounded to nearest whole number is 4779 grams / liters
The figure is a square. Its diagonals meet to form four right angles. What is the approximate value of x? 2. 8 units 3. 3 units 4. 0 units 5. 7 units.
Answers
Since the diagonals of a square are equal, they bisect each other and form 4 right angles.
Therefore, we have two congruent right triangles with legs x/2 and hypotenuse x. Using the Pythagorean theorem, we can solve for x:
(x/2)^2 + (x/2)^2 = x^2
2(x/2)^2 = x^2
x^2/2 = x^2
1/2 = 1
This leads to an absurdity, so there is no solution for x that satisfies the given conditions. Therefore, the answer is 4.0 Units.
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Find the sum and product of the complex numbers 4-3 i and -4+6 i.
Answers
Sum: 3i
Product: 2 + 36i
To find the sum and product of the complex numbers (4-3i) and (-4+6i), we can perform the operations separately.
Sum:
The sum of two complex numbers is obtained by adding their real parts and their imaginary parts separately.
Real part of the sum = (4 - 4) = 0
Imaginary part of the sum = (-3 + 6) = 3
Therefore, the sum of (4-3i) and (-4+6i) is 0 + 3i, or simply 3i.
Product:
The product of two complex numbers is obtained by multiplying them using the distributive property.
(4 - 3i) * (-4 + 6i) = 4 * (-4) + 4 * (6i) - 3i * (-4) - 3i * (6i)
= -16 + 24i + 12i + 18
= 2 + 36i
Therefore, the product of (4-3i) and (-4+6i) is 2 + 36i.
In summary:
Sum: 3i
Product: 2 + 36i
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The sales tax for an item was $12.30 and it cost $410 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answers
Answer:
3%
Step-by-step explanation:
410×=12.30
DIVIDE BOTH SIDES BY 410
x=0.03
MULTIPLY THE VALUE OF X BY 100 THEN YOU WILL GET THE ANSWER. WHICH IS 3%.
Part A: The area of a square is (4x2 + 20x + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (4x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answers
Answer:
Step-by-step explanation:
4x² + 20x + 25 = (2x)² + 2* 2x *5 + 5²
{Compare with a² + 2ab + b² = (a+ b)²}
= (2x + 5)²
= (2x +5)*(2x+5)
Side of the square = 2x+ 5
Answer:
Part A is (2x+5)^2. Part B is (2x+3y)(2x-3y).
Step-by-step explanation:
Part A: The polynomial is prime. When you split the middle term, it becomes 4x^2+10x+10x+25. Then rewrite using the common factor from the two pairs. 2x(2x+5)+5(2x+5). Rewrite in factored form, which is (2x+5)(2x+5). Then combine which is, (2x+5)^2. The length of each side is (2x+5)^2.
Part B: The polynomial is prime. Rewrite 4x^2 as (2x)^2 and 9y^2 as (3y)^2, which looks like (2x)^2-(3y)^2. Both terms are perfect squares. The answer is (2x+3y)(2x-3y).
in attempting to forecast the future demand for its products using a time-series forecasting model where sales/ demand is dependent on the time-period (month), a manufacturing firm builds a simple linear regression model. the linear regression output is given below:
SUMMARY OUTPUT Regression Stas Multiple 0.942444261 R Square 0.64945812 Adjusted R Square 0.964261321 Standard Co 2.685037593 Obsero 24 ANOVA Regression Residus Total $ MS F Significancer 1 10377.01761 1037701701 149.567816 1,524436 21 22158.6073913 7 200428877 23 10515.25 Intercept X Variables Comce Standardmor Lower 09 Uper SS LOWESSOS 38076086 11315418943365568547 2,037402035707474042230444 35.72982747 00.42264 3.003013043 0070177439 37.93400239 1.5403212839708085 3.188117002 2039700011117002
What is the estimated simple linear regression equation? 1) Forecast demand (Y) - 3.004 + 38.076 X 2) Forecast demand (Y) - 38.076 +3.004 X 3) Forecast demand (Y) - 0.985 +3.004 X 4) Forecast demand (Y) - 3.004 +0.985 X
Answers
The estimated simple linear regression equation is:
Forecast demand (Y) = 0.985 + 3.004X
The estimated simple linear regression equation can be obtained from the given output. In the regression output, the intercept is represented as "Intercept" and the coefficient for the X variable is represented as "X Variables Coefficients".
From the output, we can see that the intercept value is 0.985 and the coefficient for the X variable is 3.004.
This equation represents the relationship between the time-period (X) and the forecasted demand (Y). The intercept value (0.985) represents the estimated demand when the time-period is zero, and the coefficient (3.004) represents the change in demand for each unit increase in the time-period.
It's important to note that the equation is estimated based on the given data, and its accuracy and reliability depend on the quality and representativeness of the data.
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Please hurry i have 24m left!!
Answers
Answer:
256
Step-by-step explanation:
i love math
if you get it right, you are a critical thinker. you were in the garden, there are 34 people in the yard. you kill 30. how many people are in the garden. i won against
Answers
There is only one person in the garden.
How to determine the number of people that remain?The given parameters are
There are 34 people in the yard You kill 30 peopleSo the number as per the riddle is that the yard and the garden are the same
So, it means that you killed 30 people and the other 4 people escaped from the backyard.
So if the other 4 people escaped, the implication is that only the killer is left in the garden
In conclusion, the killer should understand that out of fear, all that were not killed will run away and he will be left alone. This means that only the killer was left = 1 person
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10. What is the ratio of the trigonometric ratio? Simplify as needed. *
Answers
12/35
tan = opp/adj
tan = 12/35
A traffic light at a certain intersection is green 55% of the time, yellow 10% of the time, and red 35% of the time. A car approaches this intersection once each day. Let Y denote the number of days up to and including the third day on which a red light is encountered. Assume that each day represents an independent trial.
Find P(Y=7)
Find the mean of Y
Find the Variance of Y
Answers
The probability of the car encountering it's first red light on the third day, i.e., P(Y = 3) will be 0.1479
According to the question,
we have to calculate the probability of the car encountering it's first red light on the third day, i.e., P(Y = 3)
Here,
Probability of encountering a Red light = 0.35, since traffic light at the intersection is red 35% of the time.
And Y is the number of days that pass up to and including the first time the car encounters a red light, i.e.,
The distribution here is a geometric one, where
P(Y = 3)
= P(Not red light in initial 2 lights) x P(red light in third light)
= [(1 - 0.35)² X 0.35]
= 0.1479
so, the probability of the car encountering it's first red light on the third day, i.e., P(Y = 3) will be 0.1479.
Note:
mean and variance of this question is not possible to find out.
the complete question ends till the probability to find the first red light on the third day.
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(5x-3)(6+x)=0
Hi I can't solve this could someone pls help me? ill give brainliest
Answers
Answer:
I think answer is 6X-18=0.
Step-by-step explanation:
(5X-3) (6+X)=05X-3*6+X=05X+X-3*6=06X-18=0Answer:
Either, x=3/5 or, x=-6
Step-by-step explanation:
(5x-3)(6+x)=0
Either,
5x-3=0
5x=3
x=3/5
Or,
6+x=0
x=-6
An experiment that does
not allow for the ability to be done again fails on
this principle of experimentation.
A. Blocking
B. Replication
C. Randomize
Answers
Answer:
Step-by-step explanation:
b replication
What is the least common denominator (LCD) of 9/10 and 5/8?
Answers
Answer:
the least common denominator is 40
Step-by-step explanation:
brainliest pls
Answer:
40
Step-by-step explanation:
because the the LCD of them is 40
suppose the test for hiv is 99% accurate in both directions and 0.3% of the population is hiv positive. if someone tests positive, what is the probability they actually are hiv positive?
Answers
the probability that someone who tests positive for HIV actually has the virus is about 23%.
calculate the probability that someone who tests positive for HIV actually has the virus, we can use Bayes' theorem. Let's define the following events:
- P(HIV): the probability that a person is HIV positive, which is given as 0.3% or 0.003.
- P(Pos|HIV): the probability that a person tests positive for HIV given that they are HIV positive, which is 99% or 0.99.
- P(Pos|not HIV): the probability that a person tests positive for HIV given that they are not HIV positive, which is also 99% or 0.99.
Then, we can use Bayes' theorem as follows:
P(HIV|Pos) = P(Pos|HIV) * P(HIV) / [P(Pos|HIV) * P(HIV) + P(Pos|not HIV) * P(not HIV)]
Substituting the values, we get:
P(HIV|Pos) = 0.99 * 0.003 / [0.99 * 0.003 + 0.01 * (1 - 0.003)]
Simplifying this expression, we get:
P(HIV|Pos) = 0.229 or approximately 23%.
Therefore, the probability that someone who tests positive for HIV actually has the virus is about 23%. This highlights the importance of confirmatory testing and the need for caution in interpreting the results of any single diagnostic test.
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The spare change on a dresser is composed of pennies, nickels, and dimes. If the ratio of pennies to nickels is 2:3 and the ratio of pennies to dimes is 3:4, what is the ratio of nickels to dimes
Answers
The ratio of nickels to dimes in the spare change on the dresser is 9:8. This means that for every 9 nickels, there are 8 dimes in the spare change on the dresser.
Let's start by assigning variables to the number of pennies, nickels, and dimes. We can represent the number of pennies as 2x, where x is a positive integer. According to the given ratio of pennies to nickels (2:3), the number of nickels would be 3/2 times the number of pennies, which is 3x. Similarly, according to the ratio of pennies to dimes (3:4), the number of dimes would be 4/3 times the number of pennies, which is 8x/3.
To find the ratio of nickels to dimes, we need to compare their quantities. The number of nickels is 3x, and the number of dimes is 8x/3. To make the comparison easier, we can multiply both quantities by 3 to eliminate the fractions. This gives us 9x nickels and 8x dimes.
Therefore, the ratio of nickels to dimes is 9:8. This means that for every 9 nickels, there are 8 dimes in the spare change on the dresser.
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4. If 30 locusts eat 420 grams of grass in a week. How many days will it
take 21 locusts to consume 420 grams of grass if they eat at the same
rate
Answers
Answer:
The amount one locust eats in a week is 420/30 = 14 grams so it eats 14/7 = 2 grams per day, therefore 21 locusts can eat 21 * 14 = 42 grams per day. 420 / 42 = 10 so the answer is 10 days or 1 week and 3 days.
If the sales tax in your city is 13.6% and an item costs $16 before tax how much tax would you pay on that item round the nearest hundreth or cent.
Answers
Answer:
$2.72
Step-by-step explanation:
To calculate the amount to be paid as tax, we simply find 13.6% of the amount before tax
Mathematically, that would be;
13.6/100 * 16 = $2.716
To the nearest hundredth is $2.72
Cindy just became a personal trainer and is finalizing her pricing plans.
Answers
Answer:
Nice
Step-by-step explanation: