Find an equation of the line that contains the point (4,-3) and is perpendicular to the line 2x-3y=4
HELPPPPPPPPPP PLISSSSSSSS
Answer:
Step-by-step explanation:
-3y = -2x + 4
3y = 2x - 4
y = 2/3x - 4/3
perp; -3/2
y + 3 = -3/2(x - 4)
y + 3 = -3/2x + 6
y = -3/2x + 3
a local internet company, with customers in 15 towns is considering offering several streaming services in a bundle with internet. before launching the new bundle they want to find out whether customers would pay the extra $50 per month they plan to charge. an intern randomly selects 20 customers from each town surveys these customers and analyses the combined data. the sampling design is
The sampling design used in this scenario is cluster sampling.
Cluster sampling involves dividing the population into groups or clusters (in this case, the 15 towns) and randomly selecting entire clusters to be included in the sample. In this case, the intern randomly selected 20 customers from each town, which means that the clusters were the towns themselves.
Cluster sampling is a practical and efficient sampling method when it is difficult or expensive to access individual elements of the population. By selecting entire clusters, the sampling process becomes more manageable, and it can reduce costs and logistical challenges.
However, it's important to note that cluster sampling introduces the possibility of within-cluster similarity, meaning that individuals within the same cluster may have similar characteristics or behaviors. This can affect the variability of the sample and the generalizability of the findings to the entire population. It is important to consider this potential bias and account for it in the data analysis and interpretation.
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hi please help i’ll give brainliest please
Answer:
y = 4
Step-by-step explanation:
15 x 4 = 60
60 = 60
Therfore, y = 4
Answer:
y= 4
Step-by-step explanation:
15 x 4 = 60
At age 45 when the deferred payments from his current contract ends, all-star shortstop Alex Rodriguez plans to have $230 million in savings from his baseball playing days. He wants two things from his savings: a 40-year ordinary annuity and $500 million at age 60 in order to purchase majority ownership in his native Miami's Florida Marlins. How large can his annual annuity payment be based on this information and assuming his savings can earn 8% annually after age 45 ? $6,069,727 $5,620,118 $6,906,832 $6,395,215
Therefore, the annual annuity payment can be approximately $6,069,727.
To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:
PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]
Where:
PMT = Annual annuity payment
PV = Present value of the annuity
r = Annual interest rate
n = Number of periods
Given:
PV = $230 million
r = 8% = 0.08
n = 40 years
Using the formula, we can calculate the annual annuity payment:
PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]
PMT ≈ $6,069,727
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PLEASE HELP WILL NAME BRAINLIEST NO LINKS PLEASE
Use the drawing tool(s) to form the correct answer on the provided graph.
Plot the axis of symmetry and the vertex for this function:
h(x) = (x - 5)2 - 7.
Answer:
Step-by-step explanation:
First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.
Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).
Hope this helps!
:)
If you place 6 blue 3 yellow and 5 pink marbles in a bag close your eyes and choose a marble what is the probability that it will be blue
Answer:
6/14 or simplify it to 3/7
Step-by-step explanation:
this is because you have a total of 14 marbles
how many acres are there in the ne 1/4 of the sw 1/4 of the nw 1/4 of a section contains how many acres
In the ne 1/4 of the sw 1/4 of the nw 1/4 of a section contains 10 acres.
The acres can be calculate as follows:
we know that ne 1/4 of the sw 1/4 of the nw 1/4 of a section
so we can calculate the acre by multliplying them the section to the acre
As we are aware, each Section is one square mile and has 640 acres.
so the equation will be
1/4)(1/4)(1/4) x 640 acres = 10 acres
Therefore, 10 acres are contained in the ne 1/4 of the sw 1/4 of the nw 1/4 of a section.
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The radius of a sphere is 5.5 inches. What is the surface area of the sphere? Express the answer in terms of Piin.Squared. Recall the formula S A = 4 pi r squared. 22 44 88 121
Answer:
121
Step-by-step explanation:
EDG 21
Answer:
121
Step-by-step explanation:
i’m so confused please help
Answer:
117 units
Step-by-step explanation:
39/(x+10)=15/10
Please help me with this I don't know what to do so Thanks
Answer: y=12,y=6,y=0,y=-6,y=-12
Step-by-step explanation:
help me now right now because i ran out of skips
Answer:
no question
Step-by-step explanation:
sorry I cant help there's no question
Answer:
Help with what?
Step-by-step explanation:
There is no question.
a 2.2 GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte, you notice that your computer has been downloading at a rate of .01GB/min. Write an inequality that represents at least how many minutes it will take to download the whole game.
The inequality that represents at least how many minutes it will take to download the whole game
is x ≥ (2.2 - 0.5)/0.01
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this scenario, 2.2 GB game is being downloaded onto your laptop and when you have downloaded half a gigabyte, you notice that your computer has been downloading at a rate of .01GB/min.
The inequality will be illustrated. Let the number of minutes be x.
x ≥ (2.2 - 0.5)/0.01
This illustrates the inequality.
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You plan to purchase a house for 12.5 million baht, using a 30-year mortgage. You will make a down payment of 15 percent of the purchase price and you will not pay off the mortgage early. Ignore taxes in your analysis. Your bank offers you the following two options for payment.
Option 1: Mortgage rate of 7.25 percent and zero points.
Option 2: Mortgage rate of 6.75 percent and 4 points.
You would choose option ------- (1 or 2) because the Net Present Value of choosing option 2 is------ . (The answer can be negative. Do not round intermediate calculations and round your answer to two decimal places, e.g., 32.16.)
Option 2 has a lower NPV and thus should be chosen as it results in less total payment and better savings. Hence, you would choose option 2 as the Net Present Value of choosing option 2 is -9,903,615.48.
Given:
Purchase price = 12.5 million baht
Down payment = 15%30-year mortgage
We have to calculate the option which is best for us.
Option 1: Mortgage rate = 7.25%
Option 2:Mortgage rate = 6.75%
(a) Monthly Payment of Option 1:
Loan Amount = 12.5 * (100-15)%
= 10,625,000 baht
n = 30 * 12
= 360
i = 7.25%/12
= 0.006042857
Yearly Interest Paid = i * 10,625,000
= 64,515.48 baht
Monthly Interest Paid = 64,515.48 / 12
= 5,376.29 baht
EMI =\([P x R x (1+R)^n] / [(1+R)^n-1]\)
where P = Loan Amount, R= Interest Rate per month, n= total number of payments.
EMI = \([10,625,000 x 0.006042857 x (1+0.006042857)^360] / [(1+0.006042857)^360-1]\)
EMI = 69,677.31 baht
(b) Monthly Payment of Option 2:
Loan Amount = 12.5 * (100-15)%
= 10,625,000 baht
n = 30 * 12 = 360
i = 6.75%/12 = 0.005625
Yearly Interest Paid = i * 10,625,000
= 59,765.63 baht
Monthly Interest Paid = 59,765.63 / 12
= 4,980.47 baht
Point cost = 4% of Loan Amount
= 10,625,000 x 4/100
= 425,000 baht
Loan Amount after Deducting Points = 10,625,000 - 425,000
= 10,200,000 baht
EMI = \([P x R x (1+R)^n] / [(1+R)^n-1]\)
where P = Loan Amount, R= Interest Rate per month, n= total number of payments.
EMI =\([10,200,000 x 0.005625 x (1+0.005625)^360] / [(1+0.005625)^360-1]\)
EMI = 66,128.92 baht
(c) We have to calculate the NPV of the payments to decide which option is better.
We use the formula to calculate NPV:-
NPV = - \([B + (PMT / i) * (1 - (1 + i)^-n)] / ((1 + i)^t)\)
Where B = amount borrowed, PMT = monthly payment, i = interest rate, n = total number of payments, t = year.
NPV =\(- [10625000 + (69677.31 / 0.006042857) * (1 - (1 + 0.006042857)^-360)] / ((1 + 0.006042857)^30)\)
= -9,892,571.85 baht
NPV = \(- [10200000 + (66128.92 / 0.005625) * (1 - (1 + 0.005625)^-360)] / ((1 + 0.005625)^30)\)
= -9,903,615.48 baht
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URGENT PLEASE LOTS OF POINTS
Answer: 4, 4, 6, 7, 14
Step-by-step explanation:
There is only one possible way to do this because 6 has to be the median (middle value), 4 has to repeat twice as the lowest numbers, and the highest number has to be 14 to fit the range of 10. Because the mean is 7, the fourth number has to be 7 so that they all average to 7. There is no other way to do this.
Answer:
4,4,6,7,14
Step-by-step explanation:
median means middle number which is 6
mean means average. there are 5 numbers with a mean of 7 so all 5 numbers added up are 35
range is 10 which means the last number minus the first number is 10
mode is 4 means that the number 4 occurs more than once
so 4,4,6,
the last number must be 14
so 4,4,6,x,14
so 4+4+6+14 = 28. 35-28 = 7
so x is 7
so its 4,4,6,7,14
Tijani Gali quora
Find the slope of the line through
(-5, 18) and (11, 20)
Answer:
Slope = 1/8
Step-by-step explanation:
(20-18)/11- - 5)
= 2/16
= 1/8
Suppose there are 2.5 * 10^6 bacteria in every liter of water. How many bacteria are there in 10 liters of water?
Part A. Write the calculation needed to solve this problem: (something multiplied or divided with something else)
Part B. Write the exact (improper) scientific notation answer to your calculation:
___ * 10^__
Part C. Write the final, properly written answer in scientific notation:
___ * 10^___
Answer:
Step-by-step explanation:
fgygeyygfbyeugeskfiu
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1. The cheese production for 2006 is 7.76 billion.
2. The cheese produced in 2014 is 9.84 billion.
What is a function?It should be noted that a function is simply used to show the relationship between the variables that are given.
In this situation, there's a 3% growth per year and the function for the cheese production is modelled as:
y = 7.1(1.03)^x
y = cheese production
x = number of years after 2003.
1. Therefore, since 2006 is 3 years after 2003, this will be
y = 7.1(1.03)^x
y = 7.1(1.03)³
y = 7.1 × 1.093
y = 7.76 billion
The production is 7.76 billion.
2. The production in 2014 will be;
y = 7.1(1.03)^x
y = 7.1(1.03)^11
y = 7.1 × 1.385
y = 9.84 billion
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Solve the equation 6+2x=20
10 points!!!
Answer:
x=7
Step-by-step explanation:
2x=20-6
2x=14
x=14/2
x=7
One of the lamp posts at a bank has a motion detector on it, and the equation (x 15)2 (y−12)2=25 describes the boundary within which motion can be sensed. what is the greatest distance, in feet, a person could be from the lamp and be detected? 5 ft 10 ft 50 ft 125 ft
5 feet is the greatest distance that a person could be from the lamp and be detected.
What is equation of circle?A circle is defined as round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).
Since we have given that
The equation is :
\((x+15)^2+(y-12)^2=25\)
It is the equation of circle in which center is (h,k) i.e. ( 15,12)
The general equation of circle is given by
\((x-h)^2+(y-k)^2=r^2\)
Here, the radius 'r' is given by
\(r^2=25\)
\(r=\sqrt{25\)
\(r=5\)
Here, the greatest distance a person could be from the lamp and be detected is represented by radius i.e. r = 5 feet.
Hence, 5 feet is the greatest distance that a person could be from the lamp and be detected.
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Use substitution to solve 2x2=5+y and 4y= -20+8x2
Solve the first equation for Y and substitute it into the second equation. The resulting equation is?
Step-by-step explanation:
First
2 × 2 = 5 + y
y = -1
And
4y = -20 + 8 × 2
4 × (-1) = -4
-4 = -4
Is this what you wanted?
Manny has 36 coins in
his piggybank.
3 of the coins are silver dollars.
• The remaining coins are dimes (10€), quarters (25€) and nickels (5¢).
• There is an equal number of dimes, quarters and nickels.
How many nickels does Manny have?
Answer:
q=50
d=22
Step-by-step explanation:
Some ____ are faster than others, and so scientists and corporations spend a lot of money and time trying to find the best one for a particular problem. Group of answer choices significant digits equations algorithms matrices
Some Algorithms are faster than others, and so scientists and corporations spend a lot of money and time trying to find the best one for a particular problem.
Algorithms are step-by-step procedures or sets of rules for solving a specific problem or accomplishing a particular task. In the context of the given statement, algorithms are compared based on their speed or efficiency in solving problems. Scientists and corporations invest resources to research and develop algorithms that can provide optimal solutions for various problems. The search for the best algorithm involves analyzing their performance, considering factors such as execution time, accuracy, scalability, and resource utilization
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Jeanette purchase a concert ticket on a web site.the original price of the ticket was $75.she used a coupon code to receive a 20% discount.the web site applied a 10% service fee to the discounted price.
Answer:
The discounted price of the ticket was $75 x .80 = $60
The service fee was $60 x .10 = $6
The total price Jeanette paid for the ticket was $60 + $6 = $66
So the answer is 66
Step-by-step explanation:
A box is a cuboid with dimensions 26cm by 15cm by 20cm all measured to the nearest cm. Disc cases are cuboids which measure 1.6cm by 14.2cm by 19.3cm all measured to the nearest millimetre. If the disc cases are stacked as shown, show that ur may not be possible for 16 cases to fit in the box
Answer:
Step-by-step explanation:
We may not be able to fit 16 cases in the box because their combined volume will be greater than the box which will make it impossible.
The dimensions of the big box is given as:
Length= 26 cm
Breadth= 15 cm
Height= 20 cm
So its volume can be calculated by:
Volume= Length x Breadth x Height
Volume= 26 cm x 15 cm x 20 cm
Volume1= 7800 cm³
Now, the dimension of one disc case is given as:
Length= 1.6 cm
Breadth= 14.2 cm
Height= 19.3 cm
The volume of one disc case will be:
Volume= 1.6 cm x 14.2 cm x 19.3 cm
Volume= 438.496 cm³
So, volume of 16 disc cases= 16 X volume of one disc case
Volume2= 16 x 438.496 cm³
Volume2= 7015.936 cm³
Since Volume1 < Volume2
So, 16 disc cases cannot be fit into a box.
Solve the quadratic for x. Select all that apply.
x? + 7x - 30 = 0
O A. X=3
O B. X=-6
C. X=-10
D. X=-3
O E.X=5
O F.x=6
Question 9 of 20 : Select the best answer for the question. 9. Add [-6 -2 2] + [-3 2 1].
A. [-3 0 3]
B. [-6 0 3]
C. [-9 -3 -5]
D. [-9 0 3]
Date:
On
a
farm, there were a total of 440 goats, ducks and chickens.
The number of ducks
was
of the number of chickens. After 1/2 of the goats and of the 1/2 ducks were released, there was a total of 320 goats, ducks and chickens left. Find the number of goats
farm at first.
Answer:
Step-by-step explanation:
Because we have 3 unknowns, we need to come up with 3 equations. If the total number of animals is 440 and that number is made up of a combination of goats (g), ducks (d), and chickens (c) the first equation is
g + d + c = 440
The next equation is found in the fact that the number of ducks is one-quarter the number of chickens:
\(d=\frac{1}{4}c\) and solving for c gives us that
c = 4d
The last equation says that of the total number of animals, 440, half the goats and half the ducks got away, leaving only 320 animals behind. The last equation, the tricky one, is:
\(440-\frac{1}{2}g-\frac{1}{2}d=320\) and simplifying that:
\(-\frac{1}{2}g-\frac{1}{2}d=-120\) and because nobody hates fractions more than I do, I'm going to get rid of them by multiplying everything by 2 to get:
-g - d = -240
We've got these equations now, but what I'm going to do is to sub in what c equals (c = 4d) for c in the first equation:
g + d + 4d = 440 and
g + 5d = 440 and pair that with the one right above:
-g - 1d = -240 and use elimination to solve. The g's cancel each other out, leaving us with 4d = 200 and d = 50. So there were 50 ducks originally. Now we will sub that in to solve for c:
c = 4d so
c = 4(50) and
c = 200. Now we will sub both those values into the very first equation we put together to solve for g:
g + 200 + 50 = 440 and
g + 250 = 440 so
g = 190.
Add them all together just to be sure we have the 440 that we were told we had in the beginning (and we do, so we're all done!)
True or false
The following graph represents a maximum:
f(x)=3x^2+2
Answer:
False
Step-by-step explanation:
Answer come only two
Identify the slope in the equation y= x - 2
Answer:
The slope-intercrept from y is = mx+b, where m is the slope and b is the y-intercrept
Step-by-step explanation:
y=x-2
What is the parent function and the types of transformations applied to that parent function of f(x)=4lxl
The parent function of f(x) = 4|x| is the absolute value function, f(x) = |x|. The transformation applied to the parent function is a vertical stretch by a factor of 4.
The absolute value function is a V-shaped function that maps all real numbers to their non-negative counterparts. The vertical stretch by a factor of 4 multiplies all outputs of the function by 4. This results in a function that is steeper and has a larger range than the parent function.
The parent function is the absolute value function, f(x) = |x|. This function takes any real number as input and outputs its absolute value. For example, f(-2) = 2 and f(2) = 2.
The vertical stretch by a factor of 4 is achieved by multiplying the output of the parent function by 4. This means that f(x) = 4|x| will output 4 times the absolute value of its input. For example, f(-2) = 8 and f(2) = 8.
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