Answer:
x-2 and y(-1) -1
Step-by-step explanation:
Explained
it made a reflection of the y-axis (-1) and lowered it by 1 unit (-1)
It moved to the left by two units so x-2
X-2 and y(-1) -1
You want to take out a $219,000 mortgage (home loan). The interest rate on the loan is 4.5%, and the loan is for 30 years. Your monthly payments are $1,109.64. How much will still be owed after making payments for 15 years? Round your answer to the nearest dollar.
After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.
To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:
Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)
where:
P = the initial loan amount (in this case, $219,000)
r = the monthly interest rate (which is the annual interest rate divided by 12)
n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)
b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)
First, we need to calculate the monthly interest rate:
r = 4.5% / 12 = 0.00375 = 0.375%
Next, we can plug in the values to get:
Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)
= $145052.36
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How do I find my MLE given some values for x_i?
(a) The likelihood function for this sample is given by:
L(λ) = λ^2 * exp(-λ * (5 + 3 + x))
where x is the third observation, X₃, which is larger than 10.
What is the MLE for λ?(b) To find the MLE for λ, we take the derivative of the log-likelihood with respect to λ and set it equal to zero:
d/dλ ln(L(λ)) = 2/λ - (5 + 3 + x) = 0
Solving for λ, we find that the MLE for λ is λ = (2) / (5 + 3 + x).
Since x is greater than 10, the MLE for λ is positive and less than 2/(5 + 3 + 10) = 2/18
Therefore, the correct answer is as given above
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Which point is a relative minimum?
A. A
B. B
C. C
D. D
The relative minimum point is B. Option B is the correct option.
What is the relative minimum?
The function's graph makes it simple to locate relative minima. It is the pivotal point in the function's graph. Relative minima are locations where the function's graph shifts from decreasing to increasing. A point that is lower than the points to its left and right is said to be at its relative minima.
The points of the graph function are A, B, C, D.
The lowest point among the given points on the graph is B.
Thus the relative minimum point is B.
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A mover places a cylindrical container on a dolly, as shown. Calculate the angle of elevation, U,
from the base of the dolly to the ground.
A. 52.0°
B. 38.0°
C. 38.6°
D. 51.4°
Check the picture below.
\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)
Make sure your calculator is in Degree mode.
URGENT HELP NEEDED
Estimate the measure of ∠LMN to the nearest 10
.
Answer:
100 degrees
Step-by-step explanation:
please like and mark brainliest answer
Solve for x: 4(x + 2) = 3(x − 2)
Answer:
\(\huge\boxed{\sf x = -14}\)
Step-by-step explanation:
Given equation:4(x + 2) = 3(x - 2)
Distribute4x + 8 = 3x - 6
Subtract 3x from both sides4x - 3x + 8 = -6
x + 8 = -6
Subtract 8 from both sidesx = -6 - 8
x = -14\(\rule[225]{225}{2}\)
YA is the angle bisector of ZXYZ. If mZXYZ = 52°, what is mZZYA?
Given:
\(YA\) is the angle bisector of \(\angle XYZ\).
\(m\angle XYZ=52^\circ\)
To find:
The measure of \(m\angle ZYA\).
Solution:
It is given that \(YA\) is the angle bisector of \(\angle XYZ\). It means
\(m\angle XYA=m\angle ZYA\) ...(i)
Now,
\(m\angle XYA+m\angle ZYA=m\angle XYZ\)
\(m\angle ZYA+m\angle ZYA=52^\circ\) [Using (i)]
\(2m\angle ZYA=52^\circ\)
Divide both sides by 2.
\(m\angle ZYA=\dfrac{52^\circ}{2}\)
\(m\angle ZYA=26^\circ\)
Therefore, the required value is \(m\angle ZYA=26^\circ\).
is the binomial probability mass function formula related to the compound interest formula?
binomial has : (1 - p)^(n - k)
compound interest has : (1+r)^(nt)
For binomial probability mass function formula and compound interest formula, These both involve the use of exponents, they are not otherwise related to each other in any significant way.
What is Compound interest?
Compound interest is the interest that is earned not only on the initial principal amount of an investment, but also on any interest that has accumulated over time. In other words, it is interest that is "compounded" or added to the principal amount at specific intervals, such as daily, monthly, quarterly, or annually.
Now,
The binomial probability mass function formula and the compound interest formula are not directly related to each other, as they are used to model different types of phenomena.
The binomial probability mass function is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent trials, where each trial has two possible outcomes (success or failure) and the probability is same. The binomial probability mass function is
P(x) = pˣ (1-p)ⁿ⁻ˣ
where X is the number of successes, k is the specific number of successes we are interested in, n is the total number of trials, p is the probability of success on each trial, and represents the binomial coefficient.
The compound interest formula, on the other hand, is used to calculate the value of an investment over time, assuming a fixed interest rate and compounding periods. The future value is
FV = PV x (1 + r/n)ⁿˣ
where FV is the future value of the investment, PV is the present value of the investment, r is the interest rate (expressed as a decimal), n = number of times interest is compounded per year, and x = number of years.
While both formulas involve the use of exponents, they are not otherwise related to each other in any significant way.
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The binomial probability mass function formula and the compound interest formula are not directly related to each other.
The binomial probability mass function formula is used to calculate the probability of observing a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials. The formula is:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
where X is the random variable representing the number of successes, k is the number of successes we want to observe, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.
On the other hand, the compound interest formula is used to calculate the value of an investment that earns a fixed interest rate over a certain period of time, assuming that the interest is compounded at regular intervals. The formula is:
A = P * (1 + r/n)^(nt)
where A is the final amount of the investment, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, t is the number of years, and (1 + r/n)^(nt) represents the growth factor of the investment.
While both formulas involve exponents and use the terms (1 - p) and (1 + r/n), they are fundamentally different in their purpose and application.
which unit of measure would be appropriate for the area of a picture that is 20 cm tall and 15 cm wide ?
Answer:
square centimeters or cm^2
Step-by-step explanation:
area is measured in square units. Since this picture is in cm, it's square cm, because it's length (or height, here) x width.
20 cm x 15 cm = 300 cm^2
help please help me
Answer:
both are correct
Step-by-step explanation:
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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The height h of an object thrown from the top of a ski lift 1240 feet high after t seconds is h=-16t2 +32t+1240. For what times is the height of the object at least 1000 feet?
←
The height of the object is at least 1000 feet from seconds to seconds.
Check the picture below.
so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.
\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)
now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.
So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark happened between 0 and 5 seconds.
The graph of the function B is shown below. If B(x) = -1, then what is x? -1 1 2 NEXT QUESTION
Answer:
x is -1/b yw
Step-by-step explanation:
Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
Please answer this correctly without making mistakes
Answer:
3ft 11in
Step-by-step explanation:
you need to break the 7ft into 6ft and 12in. Then subract the 6ft by the 3ft and the 12in by the 1in.
Answer:
3ft 11 inches
Step-by-step explanation:
This is the answer because you subtract 7 by 3 which is 4 now subtract one in while in feet that is 3 ft 11 inches
bella answered 33 questions on her math test. she earned a 92% on the test. how many questions did she answer correct
Answer: 30.36
Step-by-step explanation:
92% of 33 is 30.36. I don't know how Bella got 30.36 questions correct, but that is what I got.
Emrik helped his dad hang lights this weekend around eight windows. Each window is 3 ½ feet wide and 5 feet long. How many feet of lights does he need?
Using mathematical operations, we can say that total of 69 ft of lights is needed to cover all 8 windows.
What are mathematical operations?An operation is a function in mathematics that converts zero or more input values into a clearly defined output value.
The operation's arity is influenced by the number of operands.
The rules that define the order in which we should solve an expression involving many procedures are known as the operation order.
PEMDAS stands for Parentheses, Exponentiation, Multiplication, Division, and Addition and Subtraction (from left to right).
So, we know the dimensions of the window:
3 ½ feet wide and 5 feet long.
And there is a total of 8 windows.
The perimeter of the rectangle: 2(l+w)
Now, the feet of light needed will be:
2(l+w) * 8
2(3 ½+5) * 8
2(7/2+5) * 8
7+5 * 8
12 * 8
96 ft
Therefore, using mathematical operations, we can say that total of 69 ft of lights is needed to cover all 8 windows.
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the mean radius of earth is 6,731.0 kilometers and the mean radius of Earth moon is 1,737.5 kilometers. which of the following is closest to the approximate difference in thr mean circumference in kilometers,of earth and Earth moon
The mean radius of earth is : 6,731.0 kilometers
The mean radius of Earth moon is : 1,737.5 kilometers
The difference in their circumference is given as :
Circumference = 2 * Pi * r where Pi = 3.14 , r = radius
Applying the formula for Earth will give.
C= 2 * 3.14 * 6731 = 42,292.12
For the case of the moon
C= 2 *3.14 * 1,737.5 = 10,917.03
The difference in there circumference is ;
42,292.12 -10,917.03 = 31375.08
Answer
31375.1 kilometers
The regular pentagon shown is rotated clockwise about center point P.
●P
Choose all degrees of rotation that will carry the regular pentagon onto itself.
A. 72°
B. 90°
C. 108°
D. 144°
E. 216°
Answer:
A. 72°
D. 144°
E. 216°
Step-by-step explanation:
are you tempted to calculate the internal angles ?
that is, I guess, the trap set by your teacher here, and it would be the wrong approach.
nevertheless, quickly just as a reminder :
the sum of all internal angles in a polygon is
(n - 2)×180°
n being the number of sides.
in our case that is
(5 - 2)×180 = 3×180 = 540°
so, each internal angle is 540/5 = 108°.
but we are not turning at an edge or vertex. no, we are turning the pentagon around is central point.
we are running each vertex along a circle arc. the center of that circle being P.
after every 1/5 of the circle arc there is a vertex of the pentagon.
and whenever we rotate one vertex on top of the next one, we carry the pentagon visually onto itself.
so, instead of a full circle rotation we need only 1/5 of that :
360 / 5 = 72°
and with every additional 1/5 of the circle arc (or 72°) we get it again.
that means at
72°
144°
216°
288°
360°
the pentagon carries onto itself.
therefore, A, D and E are correct.
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
What number could be added to the product of (-7)(-6) so that the sum is equal to 272
Answer:
(-7)(-6)=42
272-42=230
Step-by-step explanation:
230 is the answer
Christine has a six-sided dice numbered from 1 to 6. She rolled it a total of 50 times. It landed on an odd number 21 times. a) Work out the relative frequency of the dice landing on an odd number. Give your answer as a decimal. b) If the dice were fair, what would the theoretical probablity of it landing on an odd number be? Give your answer as a decimal. c) Is the dice definitely biased or definetely not biased, or is it impossible to tell? Write a sentence to explain your answer.
A) Relative frequency is number of times an event happened over total number of events:
Answer is 21/50 = 0.42
B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50
C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.
Identify the number of decimal places in each factor. 0.47 × 3.2 The number of decimal places in 0.47 is . The number of decimal places in 3.2 is . The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have decimal places. HURRY PLEASE!!!!!!!!!
Answer:
2,1,3
Step-by-step explanation:
The decimal place in the product of the given number will be at 3 place.
What is decimal?A decimal separator is a symbol used to separate the integer part from the fractional part of a number written in decimal form.
Given are the two numbers, 0.47 × 3.2
The number of decimal places in 0.47 is 2
The number of decimal places in 3.2 is 1
The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have 3 decimal places.
Hence, The decimal place in the product of the given number will be at 3 place.
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Lilly sells 4 boxes of cookies
in 60 minutes. At this rate
how long will it take Lilly to
sell 10 boxes of cookies?
-5p = -40 solve for t
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
A rectangular carpet has a perimeter of 264 inches. The length of the carpet is 108 inches more than the width. Determine the dimensions of the carpet by solving the equation 2w+2(w+108)=264, where w represents the carpet width.
Answer:
The width of the carpet is 12 inches and the length of the carpet is 120 inches.
Step-by-step explanation:
\(2w+2(w+108)=264\)
^We can distribute first^
Distributing would result in:
\(2w+2w+216=264\)
Then we would combine like terms, which would result in:
\(4w + 216 = 264\)
Then we solve the equation.
\(4w + 216 = 264 \\ \: \: \: \: \: \: \: \: \: \frac{ - 216 = - 216}{4w = 48} \\ \\ \frac{4w}{4} = \frac{48}{4} \\ w = 12\)
Since the width of the carpet is 12 (as we figured out). The statement said that "The length of the carpet is 108 inches more than the width."
So now we add 108 to 12 to figure out the length.
\(108 + 12 = 120\)
The length of the carpet is 120 inches.
If the sample size is nequals9, what is the standard deviation of the population from which the sample was drawn?
Answer:
13.33
Step-by-step explanation:
As in the attached diagram, we can see that the points belong to \(\mu\pm \sigma\) interval
Data provided in the question as per the details below:
\(\mu_{\bar x}\) = 440
\(\mu_{\bar x} + \sigma_{\bar x}\) = 480
So,
\(\sigma_{\bar x}\) = 480 - 440
= 40
Now the standard deviation of the population is
\(V(\bar{x}) = \frac{\sigma}{\sqrt n} \\\\ = \frac{40}{\sqrt 9}\)
= 13.33
Hence, the standard deviation of the population for which the sample is drawn is 13.33
What percent of 2 is 32? If necessary, round your answer to the nearest tenth.
Answer:
Below
Step-by-step explanation:
32/2 x 100% = 1600 %
Some values of functions f, g, h, and k are provided in the table on the right.
Find a possible equation of each function Verify your results with a graphing
calculator table. (HINT Use linear or exponential equations]
The equation of function f is f(x) =?
Without any values of the functions f, g, h, and k, it is not possible to find the equation of each function. The equation of a function can be determined by analyzing the values of the function. Based on the given values, a possible equation can be found and then verified by plotting the points on a graph and seeing if they align with the equation.
It's important to note that the equation can be a linear or exponential equation but it's impossible to determine it without any values.
complete the partial two-way frequency table below that shows the extracurricular activities of high school students. Based on the data in the table, how many students do not play an instrument
According to the information, the missing number from the box is number 40.
How to find the missing number in the box?To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.
According to the above we can infer that the missing number is 40.
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